October 2007
In October 2007 The Archive recorded or made arrangements to share the following recordings :
30th SEPTEMBER – 2nd OCTOBER 2007
Moscow, The Russian Federation
Transcripts of a Series of 9 Expository Talks by Professor Jose G. VARGAS
Key episodes and turning points in the conceptual development of Differential Geometry
from Riemann and Grassmann to the present : plus other discussions
Talks 1-2 from Gauss and Riemann to Bianchi and Levi-Civita.
Click here for transcripts and notes by speaker and audience
—oOo–
Key episodes and turning points in the conceptual development of Differential Geometry
from Riemann and Grassmann to the present :
Talks 3 – 4 : From Bianchi and Levi-Civita to Elie Cartan and Weyl.
Click here for transcripts and notes by speaker and audience
—oOo—
Key episodes and turning points in the conceptual development of Differential Geometry
from Riemann and Grassmann to the present :
Talks 5 – 6 : The Achievement of Elie Cartan : The Centrality of his work in settling the conceptual organisation and subsequent broad direction of Differential Geometry
Talks 7 – 8 : From the work of Elie Cartan to the present. Kahler and successors.
Click here for transcripts and notes by speaker and audience
—oOo—
Talk 9 : Prof. Vargas’s view of the continuing relevance of the Program formulated by Cartan in 1928-29 and proposed to Einstein, for a completely Geometric Physics incorporating – via Cartan’s proposed treatment of Torsion and Curvature – a proposed geometric interpretation for the origins and nature of the quantum-mechanical wave function.
—oOo—
OCTOBER 1st – 2nd 2007
Transcript of further remarks by Prof. Jose G. VARGAS on Cartan’s views on the role of Torsion as the source of the wave function, and his propsals for a unified geometric physics encompassing both GR and QM as limited and modified ingredient theories
—oOo—
Notes of discussion between Prof. Jose G. VARGAS and Dr Domitry G. PAVLOV concerning their respective views of the role within both Physics and Mathematics of the formalism of the Complex Numbers (central for Dr Pavlov’s approach)and that of Clifford Algebras (which for Prof. Vargas subsume and provide the correct generalised setting for the constructions requiring complex magnitudes)
—oOo—
6th OCTOBER 2007
Seminaire MaMuPhi ENS
Séance d’ouverture par Moreno Andreatta, François Nicolas et Charles Alunni
- Moreno Andreatta : Quelle philosophie pour une théorie mathématique de la musique ?
- François Nicolas : D’un quatrième moment mamuphi
- Charles Alunni
—oOo—
9th OCTOBER 2007
Notes and memorandum of a discussion with/exposition by Prof. F.W. LAWVERE on the standpoint of Alexandre Grothendieck as presented in his seminar talk to the Buffalo Mathematics Colloquium in 1973 and in subsequent private exposition on an implicit standpoint for bypassing and subsuming standard logical notions in the framework of categorical algebra, with particular attention to the role of classifying rings of (algebraic) theories
—oOo—
10th OCTOBER 2007
Seminaire IREM : Historical and Epistemological Approaches to the Study of Mathmatical ideas : Room 201 Institut Henri Poincare Paris (responsable : Michel SERFATI
Speaker : Michel SERFATI : Stone Spaces, the advent of spectral methods and the epistemological distinctiveness of Contemporary Mathematics
Click here for link to Recording nr 101007
Click here for speakers overheads and notes of the Talk
—oOo—
10th – 14th OCTOBER 2007
HPS 1 : A Conference in Integrated History and Philosophy of Science
Pittsburgh Centre for The Philosophy of Science
Arrangements to make recordings agreed. Further details to be added.
—oOo—
(Wednesday) 16th OCTOBER 2007
Paris ENS Seminar “Categories en Physique” (Convenor Marc LACHIEZE-REY)
Speaker : Bob COECKE (Oxford University Computing Lab)
Symmetric Bimonoidal Categories and the categorical approach to the Formalism of Quantum Theory
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
24th OCTOBER 2007
Institut Henri Poincare Paris : Amphitheatre Darboux
A 1 day Mini-Symposium on the Life and Work of Gustave CHOQUET
Talk 1 : Marc ROGALSKI : Gustave CHOQUET : Recherche en Mathematiques et Enseignment Universitaire
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Talk 2 : Andre REVUZ : Souvenirs Personnels de Gustave CHOQUET
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Talk 3 : Michel SERFATI : Quelques Notes de Lecture sur L’Enseignment de la Geometrie
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
25th – 27th OCTOBER 2007
A 3 Day International Conference at the Institut Henri Poincare Paris featuring the work of French and Italian Historians and philosophers of Mathematics
DAY ONE : Thursday 25th OCTOBER 2007
TALKS IN PLENARY SESSIONS :
Opening Session and Introductory Remarks
Talk 1 : Veronica GAVAGNA : The Euclidean tradition in French and in Italian Renaissance mathematics
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Talk 2 : David RABOUIN : John Wallis and the idea of a mathematica universalis grounded in pure arithmetic : Wallis’s role in the transition from the ancient conception of number (arithmos) to the post-17th century notion centred on the numbers as the objects of arithmetic and algebraic operations and the consequent successive enlargement of the number concept
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Talk 3 : D. MOLLINI : The transmision of mathematical texts at the Court of Roger II of Sicily
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Talk 4 : Gilbert JOUVE : The role of D’Alembert in the first steps towards the systematic programmatic study of partial differenial equations 1760-1783
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Talk 5 : R. CATELLANI : The Mathematical manuscripts of Paolo Cassiani (1743-1806)
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
See here for link to video presentation on the work of Paolo Cassiani
—oOo—
Talk 6 : Giovanni FERRARO : The Rise and Development of the Theory of Series up to the 1820s
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
DAY TWO : Friday 26th OCTOBER 2007
TALKS IN PLENARY SESSIONS :
Talk 1 : Catherine GOODSTEIN : Fermat’s contributions to Number Theory and their historical context
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Talk 2 : Renaud CHORLAY : The Opposition of Local and Global Concepts in mathematics, especially in the context of Geometrical Theories, from Riemann to the Development of Sheaf Theory (1850-1953)
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Talk 3 : E. NOBLE : The existence proof of Simply Infinite Systems in Dedekind
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
General Discussion Session on Talks of CHORLAY and NOBLE.
Click here for recording
—oOo—
LUNCH
—oOo—
PM Talks :
Talk 4 : S. CAPARRINI : Electromagnetism and Relativity : The correspondence of T. Levi-Civita nd A. Righi (1901 – 1920)
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Talk 5 : Alexander AFRIAT : A Priorist prejudice in Hermann Weyl’s Philosophy of Geometry and its role in the (unintended) unificationof Gravitation and Electromagnetim in his 1918 Theory.
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Talk 6 : Sebastien GANDON : From Configurations to Projective Spaces : The Status of the Notion of Figure in (finitary) geometries at the beginning of the 20th Century
De La Configuration a l’espace projectif : le statut de la figure dans les geometries finies au debut du XXeme siecle
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Talk 7 : G. ACOCELLA : The Work of Henri POINCARE and its reception by Italian mathematicians and its influence on foundational debates in Italy
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Discussion Session focussing on Talks by Gandon and Acocella.
Click here for Recording of Discussion Session
—oOo—
TALKS IN PARALLEL SESSIONS 26th October 2007
Talk by Masimo GALUZZI : Frans Van SCHOUTEN the Younger : From the Geometrie of 1637 to the Geometria of 1659
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Talk by Erika LUCIANO on Guiseppe PEANO : the reception of his work in both Foundations of Mathematics and in Analysis, in Italy and in France.
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Talk by Jean-Michael KANTOR : Les Origines Italiennes de L’Analyse Mathematique Moderne : The Italian role in the origins of 20th Century mathematical analysis.
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Talk by P.LAMANDE : MacLaurin’s treatise on Fluxions : A New Mathematical Epistemology ?
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Talk by Sebastien MARONNE : Les Ovales de Descartes dans les Excerpta Mathematica et la methode des Normales
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Discussion Sesson on Talks of Lamande and Maronne
Link to Recording of Discussion Session
—oOo—
DAY THREE : Saturday 27th OCTOBER 2007
Talks in AM Parallel Session in Salle 01 of IHP
Talk 1 : E. SALLENT : C. Burali-Forti’s and T. Boggio’s 1924 Critique of Relativity Theory
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Talk 2 : G. IDABOUK : When the mathematics of randomness met the mathematics of finance : historical analysis of the development of the theory of stochastic partial differential equations in application to financial mathematics 1973-1983
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Notes and memorandum of further discussions with G. Idabouk and others on topic of her Talk
—oOo—
TALKS IN PLENARY SESSION 27th OCTOBER 2007
Talk 1 : S. GIUNTINI : Echi Dalembertiani della Corrispondenza dei Fratelli Ricali
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Talk 2 : N. PALLADINO : The Correspondence of Niccolo DE MARTINO (1701-1769) and Girolamo SETTIMO (1706-1762) : The Infinitesimal calculus between Algebra and Geometry
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Talk 3 : C. CERRONI and I. MARTINI : The Correspondence of P. TARDY and E.BETTI 1850-1891
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Talk 4 : G.FENAROLLA and G. CANEPA : The Correspondence of P.TARDY and G. BELLAVITIS 1852-1880
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Closure of Conference
—oOo—
26th OCTOBER 2007
Memorandum of further discussions with R.Chorlay, A. Afriat and Marc Lachieze-Rey
—oOo—
28th OCTOBER 2007
Transcript of Notes of a discussion with R. Chorlay/Alexander Afriat/Marc Lachieze-Rey and others regarding the origins of the notion of a Fibre Bundle – as a generalisation of that of Cartesian product and the role of the Theory of Fibre Bundles in the origins of Sheaf theory and the cystallisation of the definition of a Sheaf
—oOo—
Notes and memorandum of discussions with Marc LACHIEZE-REY about a Talk (unrecorded) by John BAEZ on a category-theoretic approach to the Theory of Differential Forms and about the work of JB’s student Derek WISE
For background see 7 July 2007 Posting by J.BAEZ to n-category cafe blog
—-oOo—
29th OCTOBER 2007
Reading Group :
Studying
1) Articles by Alan BAKER in Mind (2003) and Mind (2005)
2) Tim MAUDLIN : “The Metaphysics Within Physics|” (OUP May 2007)
Notes and memoranda of a discussion on
i) The character of mathematical explanations in Science and the boundary between mathematics and physics and the status of the various structures and concepts which purport to bridge it. With particular attention to the nature of geometrical theories and the shifting mathematical and metaphysical conceptions of the subject-matter of geometry.
ii) Discussion of Baker’s 2003 Article on patterns of unification in mathematics and their impact on the Indispensability arguments for Platonism
iii) the constitution of relative ontologies for sectors of mathematics and their evolution in the course of developing mathematical practice. With some remarks on the relationship between the unification of mathematics and the unification of metaphysics – the unification of mathematics seen as an aspect of or as contributing to the articulation of a hypothetical metaphysically intelligible structure for the world (a world hypothesis in the style/tradition of systematic metaphysics : contrasted with the unification of mathematical structures as a contribution to the unification of fundamental physical theories, structurally understood, but without the implication of any convergence in the direction of a final limiting structure intelligible in terms of the categorial structure of a metaphysical conception of reality already articulated. A Discussion generated by the study of the remarks on Fiber Bundles -vs- Analytic Ontology in Tim Maudlin’s book “The Metaphysics Within Physics” in Oxford series on Philosophy of Physics
—oOo—
29th OCTOBER 2007
1 DAY WORKSHOP IN REHSEIS History and Philosophy of Mathematics Programme
“WHAT SHOULD WE UNDERSTAND BY THE NOTION OF A MATHEMATICAL PRACTICE ?”
(Organiser : Jose FERREIROS University of Seville)
TALK 1 : Jose FERREIOROS (Seville) : Mathematical Practices : Some Views and Approaches taken towards them by Philosophers of Mathematics
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Talk 2 : Bart van KERKHOVE (Centre for Logic and Philosophy of Science V.U.B. Brussels)
The Empirical roots of Mathematical Concepts
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Talk 3 : Frederic BRECHENMACHER (Calais) : Sur L’Identite algebrique de pratiques mises en oeuvre a la fin du XIXeme Siecle : Etude compare des approches de Henri POINCARE et Georg SCHEFFERS pour la classification des systemes hypercomplexes
On the algebraic nature of late 19th Century mathematical practices : a comparison of the approaches of POINCARE and SCHEFFERS to the classification of hypercomplex systems
Click here for link to Recording
Click here for speakers overheads and notes of the Talk
—oOo—
Extended Round Table Discussion led by Marco PANZE (REHSEIS)
Link to Recording of Discussion
—oOo—
Closure of Workshop
—oOo—
30th OCTOBER 2007
Seminar “Categories en Physique” ENS, Paris (Convenor : Marc LACHIEZE-REY)
General Discussion of the role of Symmetric Bimonoidal Categories as a setting for the study and reconstruction of the Formalism of Quantum Theory and the Structure of Quantum systems (see previous talk to the Seminar by Bob COECKE on 23rd October above). With further discussion of topics concerning other approaches to the applications of category theory in Physics
Link to recording of discussions
Link to Notes of booard presentations etc.
—oOo—
30th OCTOBER 2007
Notes and memorandum of discussion of F.W. Lawvere’s presentation of the conditions for objects in a category to be Separable Unramified and Decidable and the underlying Unity of these conditions – and how the objects satisfying these S-U-D conditions are to be seen as fitting into place within the overall interrelationship of mathematical structures
—oOo–
Further entries for October 2007 to be added.