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- Catalogue : Special Sections for Particular Programs and Events « Archive for Mathematical Sciences & Philosophy

Archive for Mathematical Sciences Philosophy Catalogue of Recordings and Supporting Material In Progress Catalogue Special Sections for Particular Programs and Events Catalogue Special Sections for Particular Programs and Events Pages Home Catalogue of Recordings and Supporting Material In Progress General Chronology of Recordings Catalogue of Archive by Subject Area and Topic Catalogue Special Sections for Particular Programs and Events B S P S related Recordings Grothendieck at Buffalo PSSL Peripatetic

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Open archived version from archive - Catalogue of Archive by Speakers in Alphabetical order « Archive for Mathematical Sciences & Philosophy

of Recordings and Supporting Material In Progress Catalogue of Archive by Speakers in Alphabetical order Catalogue of Archive by Speakers in Alphabetical order Pages Home Catalogue of Recordings and Supporting Material In Progress General Chronology of Recordings Catalogue of Archive by Subject Area and Topic Catalogue Special Sections for Particular Programs and Events Catalogue of Archive by Speakers in Alphabetical order Speakers A Speakers B Speakers C Speakers D Speakers

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Open archived version from archive - Symposium : Sets Within Geometry : Nancy, France 26-29 July 2011 « Archive for Mathematical Sciences & Philosophy

of it involves the recognition that the subject matter of Geometry has itself come to be re conceived in a way involving a generalisation and progressive deepening of our previous geometric notions culminating in the work of Grothendieck In this connection the remarks in the brief Statement of Aims given above are especially pertinent and worth repeating as providing clarification of the Title chosen for the Symposium Sets Within Geometry Using tools developed by Cantor and his contemporaries much more explicit forms of the relation between space and quantity were developed in the 1930s in the field of functional analysis by Stone and Gelfand partly through the notion of Spectrum a space corresponding to a given system of quantities In the 1950s Grothendieck applied those same tools elaborated around the notion of Spectrum to algebraic geometry by using and developing the further powerful tool of category theory Further developments have strongly suggested that it is now possible to incorporate the whole set theoretic foundation of Geometry explicitly as part of that space quantity dialectic in other words as a chapter in an extended Algebraic Geometry oOo It cannot be stressed too strongly that the claim that Set Theory can in the above sense be viewed as grounded in Geometry does not imply as some have insinuated a rejection of set theory What is at stake here is rather a deepening of set theory and the better understanding of the indispensable role within mathematics of the notions of both constant and variable sets The object of criticism here is one particular line of development which appeared to have achieved a hegemonic position and which rested on an axiomatic fixation of the set concept on the basis of a supposed absolute and global relation of iterated membership In this connection the Symposium will also undertake an investigation into contrasting ways of formulating and viewing the Continuum Hypothesis those determined by the tacit presuppositions generated by membership based axiomatic set theory as against those ways of viewing the Continuum based on an explicit recognition of the central role of the mapping properties of categories of space as studied in geometry oOo The Topics of the Symposium fall under three broad headings Mathematics Conceptual Analysis History 1 Mathematics Examination of Mathematical Developments yielding a deeper understanding of the place of sets in mathematics See below for further discussion 2 Conceptual Analysis The connection between these Mathematical developments and broader analysis of the epistemological sources of mathematical ideas One illustration of such analysis would be an investigation of the meaning of Extensionality and Choice principles in the setting of Topos Theory 3 History Related Historical investigations such as a re examination of the work of Cantor and Dedekind and other figures in the early development and discussion of different approaches to the Continuum Hypothesis oOo The following Speakers had hoped and planned to participate but were prevented from doing so Professor Alberto Peruzzi University of Florence Professor Yuri I Manin MPIM Bonn Professor Christian Houzel Paris Professor Francois Chargois Nancy Professor Marta Bunge Montreal In several cases Abstracts of their talks appear below It is hoped that in every case a full text and overheads of their intended Talk will be added to this Page later The Invited Speakers who took part were as follows Professor FW Lawvere Buffalo Professor Anders Kock Aarhus Professor Colin McLarty CWRU Cleveland Professor Jean Pierre Marquis Montreal oOo In addition Professor John STACHEL gave his Contributed Talk by webex video link Professor Lou CRANE KSU was prevented by family bereavement from giving a Contributed talk and the Text and overheads of his talk will also be added later Contributed talks were given at the Symposium by Dr Andrei RODIN University of Paris 7 Professor Panagis KARAZERIS Patras and Professor John STACHEL Boston University who spoke by video link See additions to the List of Abstracts of Talks Below oOo PROGRAM OF THE SYMPOSIUM and LINKS TO VIDEO and AUDIO RECORDINGS OF THE PROCEEDINGS Venue The Main Conference Room Archives Henri Poincare 3rd Floor Maison Sciences De L Homme de Lorraine 91 Avenue de La Liberation Nancy France oOo Day 1 26th JULY 2011 3 45 PM Welcome and Introduction to the Symposium 4 00 5 45 PM Professor FW Lawvere Talk 1 What Is A Space http www vimeo com 31720605 Click here for audio recording Click here for Speakers overheads oOo 5 45 6 15PM Discussion period oOo Day 2 27th JULY 2011 9 30 11 00 AM Professor Jean Pierre Marquis Talk 1 Abstract geometric sets and homotopy types The metaphysics of abstraction Video recording http www vimeo com 31483829 Click here for audio recording Click here for Speakers overheads oOo 11 00 11 30 AM Discussion Period oOo 11 30 11 45 AM Coffee Break oOo 11 45 1 15 PM Professor Anders Kock Talk 1 Monads and Extensive Quantities Part I Click here for audio recording Click here for Speakers overheads oOo Buffet Lunch oOo 2 15 3 45 Professor Jean Pierre Marquis Talk 2 Space and sets The evolution of the notion of topological space in the f irst half of the 20th century http www vimeo com 31494056 Click here for link to audio recording Click here for Speakers Overheads oOo Coffee Pause oOo 3 30 4 30 Discussion period concerning both Prof Kock and Prof Marquis Talks oOo Day 3 28th JULY 2011 9 00 10 30 Professor FW Lawvere Talk 2 The Dialectic of Continuous and Discrete in the history of the struggle for a usable guide to mathematical thought http www vimeo com 31780670 Click here for audio recording Click here for Speakers overheads oOo Coffee Pause oOo 10 45 12 15 Professor Colin McLarty Talk 1 Cohomology in the Category of Categories as Foundation http www vimeo com 31440365 Click here for audio recording Click here for Speakers overheads oOo Lunch PM Contributed Talks Dr Andrei RODIN University of Paris 7 Formal Axiomatics and Set theoretic Construction in Bourbaki Click here for audio recording Click here for Speakers overheads oOo Prof Panagis KARAZERIS Patras Embedding Kelley Spaces in Toposes With some remarks on A proposed fundamental theorem of Category Theory Click here for audio recording Click here for Speakers overheads oOo Prof John STACHEL Boston To be Delivered by Webcast Video Sets in Algebra and In Geometry Click here for audio recording Click here for Speakers overheads oOo 7 45 PM CONFERENCE DINNER oOo Day 4 29th JULY 2011 9 30 11 00 Professor Colin McLarty Talk 2 Title Why is so much of category theory constructive http www vimeo com 31603941 Click here for audio recording Click here for Speakers overheads oOo Coffee Pause oOo 11 15 12 45 Professor Anders KOCK Talk 2 Monads and Extensive Quantities Part II http www vimeo com 31499247 Click here for audio recording Click here for Speakers overheads oOo Buffet Lunch oOo 2 15 4 30 Talk 3 by F W LAWVERE Categorical Dynamics re visited Category Theory and the representation of physical quantities http www vimeo com 31561050 Click here for audio recording Click here for Speakers overheads oOo c 4 45 PM Closure of Symposium followed by Visit to Archives Henri Poincare oOo TITLES AND ABSTRACTS In Alphabetical Order of Speakers Prof Marta Bunge Talk 1 STACKS CAUCHY AND OTHER TIGHT COMPLETIONS The notion of a stack has its origins in Geometry more precisely as a tool in the non abelian cohomology Giraud 1970 of a Grothendieck topos S Following a suggestion of Lawvere Perugia1973 such a notion was introduced and studied Bunge Pare 1979 relative to the intrinsic site of all epimorphisms of S The study of stacks is intrinsically connected with the axiom of choice The stack completion of an S category C is constructed Bunge 1979 as an S category carved out of the Yoneda embedding of C into the presheaf topos P C Examples from cohomology are particularly illuminating In addition the stack completion of C represents the so called anafunctors with target C Completions of his sort more generally for a closed category V with a faithful functor into Set and with all limits and colimits will be called tight We give an equivalent version of the notion of a tight completion in terms of V distributors Benabou 1973 The distributors version is particularly suited to exhibit the Cauchy completion Lawvere 1973 as a tight completion We clarify the connection between the Karoubi envelope and the Cauchy completion More precisely we prove that the axiom of choice epimorphisms split holds in V if and only if every Karoubi complete V category is Cauchy complete Certain tight completions of a V category C are what we call here of Morita type Examples are the Cauchy completion in terms of those distributors with target C which have a right adjoint the related completion of essential points of P C and the points of the classifying topos B G of a groupoid G Neither the Karoubi envelope nor the stack completion are of Morita type Prof Marta Bunge Talk 2 FOX COMPLETIONS AND LAWVERE DISTRIBUTIONS The topologist R H Fox 1957 introduced a notion of spread in order to describe branched coverings in topological rather than combinatorial terms Implicit in his treatment was a connection between complete spreads and cosheaves hence with Lawvere distributions 1983 1992 This connection was made explicit by J Funk 1995 for locales A full treatment of the subject for toposes was made possible by the role of the classifier for Lawvere distributions on a topos X constructed algebraically by M Bunge and A Carboni 1995 A theory of Fox complete spreads and Lawvere distributions or of Singular Coverings of Toposes is the subject matter of the book by M Bunge and J Funk 2006 in which Kock Zoberlein monads of the completion type play a crucial role In my talk and after a review of some aspects of this theory I will list some open problems Click on this Link For A Text of Professor Bunge s Second Talk Link not yet activated oOo Prof Christian Houzel Title s and Abstract s to be advised oOo Prof Anders KOCK Talk 1 Monads and Extensive Quantities Abstract If T is a commutative monad on a cartesian closed category then there exists a natural T bilinear pairing T X times T 1 X to T 1 integration as well as a natural T bilinear action T X times T 1 X to T X These data together make the endofunctors T and T 1 co and contravariant respectively into a system of extensive intensive quantities in the sense of Lawvere A natural monad map from T to a certain monad of distributions in the sense of functional analysis Schwartz arises from this integration In less Technical terms Abstract If T is a commutative monad on a cartesian closed category then there exists a natural T bilinear pairing from T X times the space of T 1 valued functions on X integration as well as a natural T bilinear action on T X by the space of these functions These data together make the endofuncors T and functions into T 1 into a system of extensive intensive quantities in the sense of Lawvere A natural monad map from T to a certain monad of distributions in the sense of functional analysis Schwartz arises from this integration Prof Anders KOCK Talk 2 To be confirmed Title Geometric algebra of projective lines Abstract The projective line over a local ring carries structure of a category with a certain correspondence between objects and arrows We investigate to what extent the local ring can be reconstructed from the category oOo Prof FW Lawvere Talk 1 The Dialectic of Continuous and Discrete in the history of the struggle for a usable guide to mathematical thought Dedekind and the young Cantor extracted from the complexity of mathematical cohesions and structures the ideas of structureless lauter Einsen and cardinality following Steiner s algebraic geometry They immediately used them in turn as a base for pure structures such as ordered sets and groups Hausdorff and others used them as a base for representing various specific categories of cohesion as consisting also of structures of a slightly different kind Moreover the notion of structureless discreteness had also been relativized by Galois and others in the study of algebraic geometry over non algebraically closed fields Although practicing mathematicians refer to these collections of lauter Einsen as sets that term is used in another way by students of the Frege Peano Zermelo vonNeumann hierarchy In order to permit general considerations of these sorts to serve as a useful guide to the development of mathematical thinking it is necessary to extricate them from the continuing pursuit of the elder Cantor s idealist speculations about an infinity beyond infinity which as he himself realized belong more to theology than to science See my recent talks Bristol 2009 Cantor Zermelo the Category of Categories Firenze 2010 Cantor s lauter Einsen Galois Grothendieck Pisa 2010 What is a space as well as my 2007 TAC article Axiomatic Cohesion oOo Talk 2 What is a Space Abstract A space is just an object in a category of spaces The implied further question is given a very general answer involving lextensivity as well as a much more structured answer involving dialectically coupled cohesive discrete pairs of toposes Examples can be analyzed and constructed using the simple geometric paradigm of figures and incidence relations by which any lextensive category can be embedded in a Grothendieck topos more refined subtoposes of the latter are specified by Grothendieck coverings that embody the geometrical equivalent of existential disjunctive conditions on these extended spaces a specific example involves a generalization of Maschke means The extended spaces always include the Hurewicz exponential spaces for example spaces of functions and distributions equipped automatically with the ambient sort of cohesion Examples important for smooth analytic and algebraic geometry are infinitesimally generated pursuing an observation that goes back to Euler A smooth account of points and components for algebraic geometry over a non algebraically closed field is achieved by replacing Cantorian abstract sets with a Galois Barr topos as the discrete aspect The basic goal is to help make the advances in Algebraic Geometry during the past 50 years more accessible to students and to colleagues in related fields by utilizing the simplifying advances in categorical foundations during the same 50 years especially guided by proposals made by Grothendieck in 1973 oOo Prof Yuri I MANIN Talk 1 Foundations or Superstructure TheViewpoint of a practicing mathematician ABSTRACT I intend to discuss a series of topics related to foundations and philosophy of mathematics from the perspective of researcher and teacher More detailed Conspectus of Talk FOUNDATIONS AS SUPERSTRUCTURE The Reflections of a practicing mathematician The Content of the idea of Foundations in the wide sense is this principles of organization of mathematical knowledge and of the interpersonal and transgenerational transferral of this knowledge When these principles are studied using the tools of mathematics itself self referential anxiety raises its ugly head and self doubts start dominating the autistic psyche of a lonely mathematician In order to avoid this abyss one can simply cut the self referentiality loop and the way this author did it involved stripping Foundations from their normative functions and to consider various foundational matters simply from the viewpoint of their mathematical content Then Goedel s theorem becomes a statement that a certain class of structures is not nitely generated no big deal but interesting thanks to a new context and the structures categories controversy is seen in a much more realistic light contemporary studies fuse Bourbaki type structures and categories freely naturally and unavoidably by first structurizing sets of morphisms then categorifying them then applying to this vast building principles of homotopy and topology in order to squeeze it down to size etc In this way foundations turn into superstructure and the memory of their foundational provenance is conserved only in the way we are speaking about them Observing the nature of changes in Foundations from this perspective one sees not so much the replacement of one vision by another but rather a permanent enrichment of intuitions whose creative pedagogical potential seemed temporarily exhausted Moreover the scale of historical legacy and continuity becomes much more visible Here are some illustrations i Whatever the fate of the scale of Cantorial cardinal and ordinal infinities the basic idea of set embodied in Cantor s famous definition as a collection of definite distinct objects of our thought is as alive as ever Thinking about a topological space a category a homotopy type a language or a model we start with imagining such a collection or several ones and continue by adding new types of distinct objects of our thought whether derivable from the previous ones or new ii We can decide that we wish to study the category of all projective smooth algebraic varieties and various cohomology functors on it transcending old fashionedstructures Then we find out that our ideal goal might be in proving that a universal cohomology functor produces an immense motivic Galois group whose represen tations solve our initial problem structures win the famous Grothendieck motivic program and its Tannakian embodiment iii The enrichment may possess its inner logic and understanding of this logic may be a fascinating challenge even for the creators of new paradigms An outstanding example for me is the history of the idea of triangulated categories Very briefly in the categorical development of algebraic topology at a certain stage one had to produce a framework for treating complexes of co chains of various topological spaces as objects better reecting properties of the space itself than of various ways of choosing these co chains This led to the complicated definition of triangulated category a la Grothendieck and Verdier It was successful and influential until more and more contexts revealed its basic technical flaw cone is not

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Open archived version from archive - Category Theory Yesterday Today (and Tomorrow?) : A Colloquium in Honour of Jean Benabou « Archive for Mathematical Sciences & Philosophy

FIBERED THEORY of GEOMETRIC MORPHISMS Abstract Geometric morphisms were introduced originally by analogy with continuous maps and locale morphisms But as pointed out by Jean Benabou in his Montreal lectures 1974 their definition can be motivated in terms of good properties of fibrations Later in J L Moens Thesis 1982 there was established a 1 1 correspondence between geometric morphisms and so called geometric fibrations After revisiting this fibered theory of geometric morphisms we consider generalisations which allow one to formulate the theory of triposes Hyland et al around 1982 in more geometric terms This allows one to reformulate an open problem in the theory of triposes in more elementary terms Click here for link to Recording of Prof STREICHER s Talk plus here for Notes of Presentation oOo 3 30 4 30 PM Professor Andree C EHRESMANN Amiens Title DES ESPECES DE STRUCTURES LOCALES AUX DISTRUCTURES ET SYSTEMES GUIDABLES Abstract Le premier article original que Jean Benabou a publié en 1957 portait sur les treillis locaux reflétant son intérêt pour les travaux de Charles Ehresmann sur les structures locales et les topologies sans points Je parlerai brièvement de ces travaux de Charles et en particulier de son important article de 1957 où il définit le cadre catégorique des espèces de structures locales il y démontre le Théorème d élargissement complet d une espèce de structures locales dont la preuve unit une sorte d extension de Kan à un théorème de faisceau associé sur une catégorie locale En imitant les méthodes utilisées dans cet article j ai introduit dans ma thèse en 1962 la notion de distructure qui donne un cadre catégorique pour l étude des fonctions généralisées Je l exposerai en termes plus modernes et montrerai comment elle permet de retrouver les distributions de Schwartz de manière à pouvoir définir des distributions sur des variétés de dimension infinie Les distructures ont des applications aux problèmes de contrôle Click here for link to Recording of Prof EHRESMANN s Talk Not yet uploaded Link not yet active plus here for Overheads of Presentation oOo 7 30 PM Colloquium Dinner oOo SATURDAY 4th June 2011 9 45 10 45 AM Professor Martin HYLAND Univerity of Cambridge Title KLEISLI BICATEGORIES The importance of the notion of Bicategory is widely recognised It has many applications and points the way to higher category theory Kleisli Bicategories give a setting for many sophisticated mathematical notions A survey of these examples illustrates the significance of the choices made in Jean Benabou s Introduction to Bicategories Click here for link to Recording of Prof HYLAND s Talk Not yet uploaded Link not yet active plus here for Notes of his Presentation and related documentation oOo 10 45 AM Pause oOo 11 00 11 40 Jacques ROUBAUD Working Title REMEMBRANCE OF CATEGORIES PAST Personal Recollections and reminiscences of Jean Benabou En Francais Click here for link to Recording of Jacques ROUBAUD s Talk Not yet uploaded Link not yet active oOo 11 45 1 30 PM Lunch Interval oOo

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Open archived version from archive - F.E.R.T. Conferences « Archive for Mathematical Sciences & Philosophy

and 2006 Workshops will be placed on this Site in due course In addition to the Scientific proceedings of the 2006 Conference an extensive cultural program was provided for participants as in previous years Amongst the excursions were guided visits to the Pyramid complexes of the Giza Plateau Dashura Medum and Saqqara and the Museum of Egyptian Antiquities in Cairo which houses incomparably the world s greatest collection of Egyptian Antiquities and to the Coptic Quarter of Cairo There were further optional excursions to the Red Sea and to a number of ancient temples There were also opportunities tio attend a number of evening talks outside the oficial Conference programme about Ancient Egyptian mathematics religion and mythology and to see films about Ancient Egypt Councils Conference Speakers Theses See PDF file below English Russian thesises pdf 353 405 Kb PDF Program of the Conference 2 For General Background Information on Finsler Geometry Website for Finsler Geometry What is Finsler Geometry People Activities Books Pictures of Riemann Minkowski Finsler Berwald Douglas Weyl and others The Finsler Geometry Newsletter Home Page Site dedicated to the interactions between convex integral metric and symplectic geometry The Finsler Geometry Newsletter Introduction to Finsler Geometry This book is not representative of the great body of work in Finsler geometry in the past 50 years and readers looking for tensor calculations will be much RIEMANN FINSLER GEOMETRY Riemann Finsler geometry is a subject that concerns manifolds with Finsler metrics including Riemannian metrics It has applications in many fields of the AN INTRODUCTION TO FINSLER GEOMETRY This introductory book uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the projective sphere bundle A brief introduction to Finsler geometry Here you can find a a short introduction to Finsler geometry Special emphasis is put on the Legendre transformation that connects Finsler geometry with Mathematical Sciences Research Institute Finsler Geometry Finsler geometry uses families of Minkowski norms instead of families of inner products to describe geometry This situation is entirely analogous to how Finsler manifold Wikipedia the free encyclopedia In mathematics particularly differential geometry a Finsler manifold is a differentiable manifold M with a Banach norm defined over each tangent space Differential geometry and topology Wikipedia the free encyclopedia Finsler geometry has the Finsler manifold as the main object of study this is a differential manifold with a Finsler metric i e a Banach norm defined on PlanetMath Finsler geometry This is version 4 of Finsler geometry born on 2005 02 18 modified 2006 07 27 For Information and Regsitration for the Forthcoming 2008 F E R T Conference in Egypt see below 4th International Conference FERT 2008 FINSLER EXTENSIONS OF RELATIVITY THEORY November 2 8 2008 Cairo Egypt This Conference continues the ongoing series of conferences held every two years since 2005 and is devoted to studies of the evidence for Global Cosmological Anisotropy and to mathematical research on Finsler Extensions of Relativity Theory The General Theory of Relativity

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Open archived version from archive - 2004 « Archive for Mathematical Sciences & Philosophy

BROWN The Epstein Question regarding the Bohm Interpretation of Quantum Theory and Its Implications for Ontology Day TWO 8th JULY 2004 Talk 1 Barbara PIECHOCINSKA Physics from Wholenes The Possible Meaning of the Wholeness Axiom in Set Theory for Perspectives on Physics Talk 2 Reg CAHILL II A Qubit based Approach to Fundamental Theory A Possible Model for the Emergence of Spacetime Geometry from Quantum information Day 3 9th JULY 2004 1 Remarks by Basil HILEY on Trajectories in the Bohm Interpretation of the 2 Slit Experiment followed by Talk 1 Tim PALMER Wheeler s Bucket of Dust and some considerations about Normal Numbers and the Bloch Sphere as clues to a Stochastic Hidden Variables Interpretation of QM Talk 2 Reg CAHILL III A New Theory of Spacetime and Gravity A Fluid Flow Interpretation of Spacetime Physics With remarks on the empirical evidence for Absolute Motion Day 4 10th JULY 2004 Talk 1 Georg WIKMAN Untitled Followed by General Round Table discussion Talk 2 Tim PALMER II A Frequentist theory of Probability with particular reference to a Stochastic Hidden variable Model for the Sub Quantum Medium Talk 3 Basil HILEY II Towards A Deeper Investigation of the Quantum Potential With

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Open archived version from archive - 2005 « Archive for Mathematical Sciences & Philosophy

Frescura Professor of Physics University of Witwatersrand South Africa Symmetric and Antisymmetric Structures in Quantum Theory and The Program of Geometrisation of Physics Melvin Brown TPRU London The Bohm Interpretation and Momentum Space The Relationship between Mechanics and Dynamics in the Bohm Picture P M Discussion of A M Talks Additional Talk by Freddy van Oystaeye Mathematics Antwerpen On Shadow Manifolds in the light of some ideas from Algebraic Geometry Day TWO 30th June 2005 A M Talks Simon Schnoll Professor of Moscow State University Experimental Evidence for 4 Dimensional Spacetime Fluctuations and Anisotropy 50 Years of Data Part 1 Reg Cahill School of Chemistry and Physics Flinders University Adelaide Australia Process Physics and The Physics of 3 Space From Information Theory to a New Theory of Quantum Space and Matter Part I A M Talk Tim Palmer EMRWF Reading It From Bit A New Perspective Day THREE 1st July 2005 A M Talks Yuri A Baurov Moscow Experimental Investigation of A New Anisotropic Interaction and a Possible New Quantum Information Channel Andrei Khrennikov University of Vexxjo Sweden QM as An Approximation To A Classical Statistical Field Theory Georg Wikman SHIRD Goteborg Indistinguishables Different but Not Distinct Proposals for their Mathematical Representation P M Talks Simon Schnoll Professor of Moscow University Experimental Evidence for 4 Dimensional Spacetime Fluctuations and Anisotropy 50 Years of Data Part 2 Maurice De Gosson University of Karlskroga Sweden The Schroedinger Equation in Phase Space Symplectomorphisms and The Topological Meaning of Planck s Constant Day FOUR 2nd July 2005 A M Talks Alexis Kirillov Moscow Topological Structure and Internal and External Spaces in Particle Physics Reg T Cahill School of Chemistry and Physics Flinders University Adelaide Australia Process Physics and The Physics of 3 Space From Information Theory to a New Theory of Quantum Space and

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Open archived version from archive - 2006 « Archive for Mathematical Sciences & Philosophy

Monk University of Sheffield Models for Space Time and Pre Space Time Bob Coecke Oxford University Computing Laboratory In The Beginning God Created The Tensors as a Picture Day TWO 10th JULY 2006 A M Talks Andreas Doering Theory Group Physics Department Imperial College London On The Possible Relevance of Topos Theory to the Re formulation and Understanding of Quantum Physics Qui Hong Hu Professor University of Goteborg On a Proposed New Understanding of Electron Spin Based on Topological Considerations P M Talks Tim Palmer Director European Medium Range Weather Forecasting Centre Reading UK Dissolving the Mysteries of Entanglement Freddy Van Oystaeyen Department of Mathematics University of Antwerp Dequantisation of Space via a Topological Blow Up Part I Day THREE 11TH July 2006 A M Talks Maurice De Gosson Max Planck Institute and University of Vienna Symplectic Quantum Cells Indistinguishability and the Gromov Squeezing Theorem On The Topological Origins of Structure in The Phase Space of Quantum Dynamical Systems Tim Palmer Director European Medium Range Weather Forecasting Centre Reading UK Global Warming in a Chaotic Climate Can We Be Sure Georg Wikman S H I R D and Founder of Askloster Meetings Different but not Distinct A Tentative Theoretical Framework for the Mathematical Representation of Indistinguishables P M Talks Freddy Van Oystaeyen Department of Mathematics University of Antwerp Dequantisation of Space via a Topological Blow Up Part II Stephen Wood Theoretical Physics Research Unit Birkbeck College London Sometime Researcher Natural History Museum London Complexity and Adjointness in the Structure of Biological Systems Day FOUR 12TH July 2006 A M Talks Malcolm Coupland Department of Physics and Astronomy University College London Where Would Gravity Be Without Newton s Third Law Barbara Piechoconska University of Uppsala Some Reflection on Maximality Principles in Set Theory and their possible connection with a Research Program

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Open archived version from archive