Topology Seminar

The cohomology rings of homogeneous spaces

Matthias Franz, University of Western Ontario

Wednesday, February 12th, 2020
4:00 PM - 5:00 PM
Hylan 1106A

Let be a compact connected Lie group and a closed connected subgroup. Assume that the order of any torsion element in the integral cohomology of and is invertible in a given principal ideal domain . It has been known for a long time that the cohomology of the homogeneous space with coefficients in and the torsion product of and over are isomorphic as -modules in this case. I will explain that this isomorphism is in fact multiplicative and natural in the pair provided that 2 is invertible in . The proof uses homotopy Gerstenhaber algebras in an essential way.

Event contact: samelott at ur dot rochester dot edu