UBC

Wed 19 Oct 2016, 3:15pm
Topology and related seminars
ESB 4133 (PIMS Lounge)

Free actions by elementary abelian pgroups

ESB 4133 (PIMS Lounge)
Wed 19 Oct 2016, 3:15pm4:15pm
Abstract
Carlsson conjectured that if a finite complex admits a free action by an elementary abelian pgroup of rank n, then the sum of its modp Betti numbers is at least 2^n. For the prime p=2, he reduced the conjecture to an algebraic problem which he solved for low n. In this talk, I will report on joint work in progress with Jeremiah Heller with the goal of extending Carlsson's methods to all primes. The crucial ingredient is a new notion of Koszul pcomplexes.
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