International Conference on Trends in the Mathematical Representation of Space

December 1-2, 2007

BOSTON UNIVERSITY

Location: Photonics Center, Colloquium Room 9th Floor,

8 Saint Mary’s St, Boston, MA, 02215

SCHEDULE of TALKS

Saturday, December 1
08:30 – 9:00 Coffee & Tea
9:00 – 10:30 Pierre Cartier* (Institut Des Hautes Études Scientifiques)
Living in a contradictory world: categories vs sets
10:30 – 10:45 Discussion
10:45 – 11:00 Coffee & Tea
11:00 – 11:45 Colin McLarty (Case-Western Reserve University)
Generality versus unity in geometry
11:45 – 12:00 Discussion
12:00 – 2:00 Lunch Break
2:00 – 3:30 F. William Lawvere (SUNY, Buffalo)
Euler, Maxwell, Grothendieck, and the nature of space
3:30 – 3:45 Discussion
3:45 – 4:00 Coffee break
4:00 – 4:45 Jean-Pierre Marquis (Université de Montreal)
From Klein to Kan: the algebra of space and the space of algebra.
4:45- 5:00 Discussion
5:00-5:45 Mihaela Iftime (Boston, MCPHS and CES)
Grothendieck’s Universe
Sunday, December 2
08:30 – 9:00 Coffee & Tea
9:00 – 10:30 Louis Crane (Kansas State University)
What does quantum gravity tell us about the nature of spacetime?
10:30 – 10:45 Discussions
10:45 – 11:00 Coffee Break
11:00 – 11:45 Gonzalo E. Reyes(Université de Montreal)
An axiomatic approach to Einstein’s vacuum field Internal relativity
3:30 – 3:45 Coffee break
3:45 – 5:30 Round Table Discussions

2007 marks the 50th Anniversary of Alexandre Grothendieck‘s Tohoku Lecture, today recognised as one of the great landmarks, only in the development of algebraic geometry, but in the broader history of 20th Century Mathematics!

Organizers: Michael Wright (mpbw1879@yahoo.co.uk), John Stachel (stachel@bu.edu), Mihaela Iftime (miftime@gmail.com)