Speaker
Andrei Lavrenov
(SPbU)
Description
Let $G$ be a Chevalley group, and $A^*$ denote an oriented cohomology theory in the sense of Levine-Morel (e.g., Grothendieck's $K$-theory, Chow group, etc.) Then the ring $A^*(G)$ is an interesting invariant of the group. In the talk I will explain how to compute this ring for the special orthogonal group $G = SO_m$ and the Morava $K$-theory $A^* = K(n)^*$. The talk is based on a joint work with V. Petrov, P. Sechin, and N. Semenov.
