On October 10th at 4:15 p.m.
Karol Palka (IMPAN)
will give a talk on
"Categories & all that..."
Abstract
While the path integral is rarely mathematically well-defined, it is usually assumed
to have some useful properties like sewing laws (relating the integral over a domain
which decomposes into two subdomains to path integrals over the subdomains). These
were included by Atiyah into the definition of the topological quantum field theory
as a functor on the category of cobordisms. This is one of the many ways the modern
mathematical language of categories and functors becomes relevant to physicists.
The lecture will be an introduction to categories and functors. We will show how
various notions from different areas of mathematics get unified in the categorial
framework. We will discuss categories with multiplication and some geometric
functors (like homology or K-theory) arising whenever global effects of the spacetime
play a role.
The Colloquium takes place Thursdays 16:15–18:00
in the Seminar Room in the KMMF building, ul. Hoża 74
(5th floor), Warszawa.
For more information, consult the Colloquium's webpage
http://www.fuw.edu.pl/~psulkows/seminar/
|