Cohomology of spaces with torus action and toral rank conjecture

Thursday, April 9, 2015 -
3:00pm to 4:00pm
In this talk we discuss various approaches to the long-stated toral rank conjecture. This conjecture gives lower bound on the cohomology rank of a finite dimensional topological space X with (almost) free torus (S^1)^m action. The question turns out to be closely related to the famous algebraic Buchsbaum-Eisenbud-Horrocks conjecture. We formulated graded (in fact filtered) version of toral rank conjecture and demonstrate how Lerray-Serre spectral sequences allows to derive some lower bounds.
Speaker: 
Yury Ustinovsky
Princeton University
Event Location: 
Fine Hall 314