Algebraic Geometry Seminar
Srikanth Iyengar
Univ. of Nebraska
Homology of finite free complexes
Abstract: The problem that gave rise to the research to be reported in
this lecture is the following: Given a (finite) group G and a finite
dimensional topological space X, can G act freely on X? In the early
1980's Gunnar Carlsson, Bill Browder, Steve Halperin, and others found a
number of interesting algebraic obstructions to free actions.
In my talk, I will present certain aspects of recent work in commutative
algebra that is motivated by, and perhaps clarifies, some of their
results. This is based on joint work with Avramov, Buchweitz, and C. Miller,
and reported in our paper "Homology of perfect complexes", arXiv:
math/0609008.
Thursday November 5, 2009 at 4:00 PM in SEO 636