Formal Group Algebras and Oriented Cohomology of Complete Flags
It is known that oriented cohomology of algebraic varieties generalizes the notion of the Chow group and the Grothendieck group, and each oriented cohomology determines a formal group law. On the other hand, the classical characteristic map provides a combinatorial tool to study the Chow group (and the Grothendieck group) of complete flags. In this talk I will introduce the formal group algebras and the characteristic maps introduced by Calmes-Petrov-Zainoulline. Then I will talk about applying it to study the gamma filtration of oriented cohomology of complete flags. This is joint work with J. Malagon-Lopez and K. Zainoulline.