Dear Colleagues and Students,
You are cordially invited to the Topology Seminar organized by the Department of Mathematics.
Speaker: Marc Stephan (Max-Planck-Institut für Mathematik, Bonn)
Abstract: Carlsson conjectured that the sum of mod-p Betti numbers of a finite, free (Z/p)^n-CW complex is at least 2^n. For p=2, he connected chain complexes with a free (Z/p)^n-action to DG modules over a polynomial ring in order to establish lower bounds using commutative algebra and algebraic geometry.
In this talk, I will report on joint work with Jeremiah Heller on how to extend this connection to commutative algebra to all primes, and on joint work with Henrik Rüping about non-realizability of (Z/p)^n-equivariant chain complexes.
Date: Monday, December 3, 2018
Place: Mathematics Seminar Room, SA – 141