Print Friendly printer friendly
Wed 19 Oct 2016, 3:15pm
Topology and related seminars
ESB 4133 (PIMS Lounge)
Free actions by elementary abelian p-groups
ESB 4133 (PIMS Lounge)
Wed 19 Oct 2016, 3:15pm-4:15pm


Carlsson conjectured that if a finite complex admits a free action by an elementary abelian p-group of rank n, then the sum of its mod-p 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 p-complexes.