报告人：李鹏辉 清华大学

时间：2024/4/11, 14:00-15:00

地点: 维格堂319

报告摘要： For a complex reductive group, we construct a semi-orthogonal decomposition of the cocenter of the universal variant of its affine Hecke category. We use this to calculate the endomorphisms of a Whittaker object in the cocenter via a diagram organizing parabolic induction of character sheaves. Assuming a universal variant of Bezrukavnikov's spectral description of the affine Hecke category, we deduce a formula for the dg algebra of global functions on commuting stacks of complex reductive groups. In particular, the formula shows that the ring of invariant functions on the commuting scheme is reduced. This is a joint work with David Nadler and Zhiwei Yun.

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邀请人：白占强, 董超平