Bonn Topology Group - Abstracts

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Marc Stephan (UBC, Vancouver, Canada): Free (Z/p)^n-actions and p-DG modules
June 13th, 2017


Carlsson conjectured that if a finite CW 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 reformulated the conjecture as a problem about DG modules over the polynomial ring and established a weaker bound.
In this talk, I will review Carlsson's work and more recent connections to commutative algebra. Then I will report on work in progress with the goal of extending Carlsson's methods to all primes. (This work is joint with Jeremiah Heller.)

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