报告人：钟昌龙助理教授

纽约州立大学奥尔伯尼分校

报告题目：Hecke-type algebras and equivariantcohomology of flag varieties

报告时间：2017年05月15日14:00

报告地点：海韵实验楼105

报告摘要：The algebraic/combinatorial method in the study of cohomology of flag varieties was started by Demazure and Bernstein-Gelfand-Gelfand in 1970s (for ordinary Chow groups), and were continued by Arabia, Kostant-Kumar, Bressler-Evens in 1980s-1990s (for equivariant singular cohomology, equivariant K-theory and complex cobordism). It was generalized to general oriented cohomology theory by Calmes-Petrov-Zainoulline, and later by myself with Calmes and Zainoulline.  Such method is based on the Bruhat decomposition of flag variety, and the fact that the convolution action of divided difference operators on the fundamental class of identity point generates the whole cohomology ring. The dual of the algebra generated by divided difference operators will be the algebraic model of equivariant oriented cohomology of flag varieties, and many important structures (Bott-Samelson classes, push-pull maps, characteristic map) can be seen from this model. I will give main ideas of this method.

联系人：石荣刚副教授

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