题  目：Hecke algebras and involutions in Weyl groups

报告人： Prof. G.Lusztig

美国科学院院士,美国艺术与科学院院士,英国皇家学会院士,美国数学会Steele终身成就奖和美国数学会Cole代数奖获得者,国际数学家大会一小时报告人,麻省理工学院教授.

时  间：10月20日（星期四）下午4：30

地  点：管理科研楼1611

摘  要：For any two elements y/le w in a Weyl group let P_{y,w} be the polynomial defined by Kazhdan and the speaker which measures the singularities of the Schubert variety corresponding to w.In this talk (based on joint work with Vogan) I define, assuming that y w are involutions, a new polynomial P_{y,w}^/sigma whose i-th coefficient is a_i-b_i where the i-th coefficient of P_{y,w} is a_i+b_i (a_i,b_i are natural numbers). These new polynomials are of interest in the theory of unitary representations of complex reductive groups. I will also present an algorithm for computing these polynomials.

主办单位：中国科技大学数学科学学院    中科院吴文俊数学重点实验室

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