Cahit Arf Lecture 2012 by David E. Nadler
David E. Nadler
Northwestern University,University of California, Berkeley
Traces and loops
Date: | November 08, 2012 at 15:40 |
Place: |
Cahit Arf Auditorium |
Supported by
- Türk Matematik Derneği Ankara Şubesi
- TUBITAK
- The Mathematics Foundation of Turkey
- Middle East Technical University
Abstract
This talk will focus on the interplay between two basic notions originating in algebra and topology. In algebra, there is the trace of a matrix, important for its equality with the sum of the eigenvalues of the matrix. In topology, there are the loops on a space, which play a central role in the computation of homotopy groups and in the structure theory of spaces. There is a well-developed understanding of the intimate relation between traces and loops coming from non-commutative geometry and mathematical physics. We will explain how modern formulations elucidate fundamental identities in geometry and representation theory.