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Hecke algebra and equivariant cohomology of flag varieties
澳门新葡8455最新网站:2017年05月22日 10:12 点击数:

报告人:钟昌龙

报告地点:澳门新葡8455最新网站105室

报告澳门新葡8455最新网站:2017年06月07日星期三14:00-15:00

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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.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 construction. This construction is closely related with cohomology theory of Steinberg variety, which is the geometric model of Hecke algebra.

主讲人概况:

钟昌龙是美国State University of New York at Albany副教授,在Advances in Mathematics、J. Reine und Angew. Math.、Mathematische Zeitschrift Documenta Math.、 Journal of Algebra、Journal of Pure and Applied Algebra等重要期刊发表10余篇论文。

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