CFP: Sets Within Geometry (Nancy, 27-30 July 2011)

CFP: Sets Within Geometry (Nancy, 27-30 July 2011)

[Andrei Rodin]

Sets Within Geometry, An International Symposium

Nancy, France 27-30 July 2011, Archives Henri Poincare Maison Sciences  
De L’Homme


First Announcement and Call for Submitted Papers



The Theory of Sets, founded in the last quarter of the 19th Century by  
Georg Cantor, underwent rapid development at the hands of many  
contributors.

Within that develoment, several distinct lines can be traced, and  
these have connected in contrasting ways with the subsequent overall  
development of mathematical knowledge.  The aim of this Symposium is  
to study and compare these, with particular focus on the question how  
far set theory might be re-conceived as a fragment of Geometry
For  a more extended discussion of the manner in which this question  
naturally arises from the study of these various lines of  
development,  see the website of this Meeting at

http://www.archmathsciphil.com/conferences-and-workshops/symposium-sets-within-geometry-nancy-france-27-30-july-2011-2/ 
.


The confirmed Speakers so far are:


Professor FW Lawvere.(Buffalo)
Professor Yuri I. Manin (Bonn and IHES)
Professor Anders Kock (Aarhus)

Professor Christian Houzel (Paris)

Professor Colin McLarty (CWRU Cleveland)
Professor Jean-Pierre Marquis (Montreal)
Professor Alberto Peruzzi (Florence)


By way of orientation, the organisers of the Symposium offer the  
following statement of aims


—oOo—

Those who have come together to organise this Symposium believe that  
the ultimate aim of foundational efforts is to provide clarifying  
guidance to teaching and research in mathematics, by concentrating the  
essential aspects of past such endeavors. By mathematics we mean the  
investigation of the Relations between Space and Quantity, of the  
reflected relations between quantity and quantity and between space  
and space, and the development of our knowledge of these in other  
words 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, 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—



Details of Registration and Titles and Abstracts of the Invited  
Speakers and other information about the venue and arrangements for  
the Symposium will be available shortly on
http://www.archmathsciphil.com/conferences-and-workshops/symposium-sets-within-geometry-nancy-france-27-30-july-2011-2/ 
.



—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.

2. Conceptual Analysis
The connection between these Mathematical developments and broader  
analysis of the epistemological sources of mathematical ideas. One  
illustration of such analysis is the 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 and discussion of different
approaches to the Continuum Hypothesis.

—oOo—


CONTRIBUTED TALKS and POSTER SESSIONS
Proposals for Talks relevant to the Themes of the Meeting are welcome  
and Titles and Abstracts of such proposed talks should be sent no  
later than May 1st to the Secretary of the Organising Committee   
Michael Wright,
Archive of Mathematical Sciences:
mike.wright@archmathsci.org

Abstracts should be no more than 400 words but can be shorter.
Anyone submitting a proposed talk is asked first to study the extended  
announcement on the website for guidance as to whether their proposed  
talk may be relevant to the themes of the Symposium.

In order to accommodate as many Speakers as possible, Contributed  
Talks (Talks by other than the Invited Speakers ) will be of 30  
minutes,  including discussion time. There will be no parallel sessions.

A Second Announcement will be made by May 1st 2011. The site will be  
regularly updated with Titles and Abstracts of Invited Talks and other  
Information.

Those submitting proposals for Contributed Talks will be advised no  
later than May 30th 2011 if their talks have been accepted for  
inclusion in the Program.

[For admin and other information see: http://www.mta.ca/~cat-dist/ ]