报告题目1: On some regular holonomic D-modules in harmonic analysis
报告人：Li Wenwei
报告时间：2019年11月2日09:30-10:30
报告地点：精正楼三楼报告厅307
摘要：Differential systems with regular singularities are indispensable tools in the representation theory of real Lie groups. They also appear in the relative setting, where one considers (absolutely) spherical homogeneous spaces. I will introduce various notions of admissibility and apply them to show that some frequently encountered D-modules are regular holonomic, including the localization of a Harish-Chandra module on a spherical homogeneous space, the D-module generated by K-finite generalized matrix coefficients, and that generated by a relative character with respect to two spherical subgroups. The proof follows Ginzburg's strategy and is based on the horocycle correspondence. It complements the recent result of Aizenbud-Gourevitch-Minchenko on the holonomicity of relative characters.
报告题目2:Arthur packets for p-adic groups by way of microlocal vanishing cycles of perverse sheaves
报告人：Xu Bin
报告时间：2019年11月2日11:00-12:00
报告地点：精正楼三楼报告厅307
摘要：The Arthur packets are conjectured to appear in the spectral decomposition of automorphic representations, generalizing the L-packets in the Langlands correspondence. In this talk, I will describe the joint work with Clifton Cunningham, Andrew Fiori, Ahmed Moussaoui and James Mracek on a geometric way of charactering these objects for p-adic reductive groups.
报告题目3：A Bessel delta method over imaginary quadratic fields
报告人：Qi Zhi
报告时间：2019年11月3日09:30-10:30
报告地点：精正楼三楼报告厅307
摘要: In this talk, I will discuss how to generalize the Bessel delta method from Q to imaginary quadratic fields. This is an ongoing work joint with Lin and Sun.
报告题目4:Local descent of symplectic supercuspidal representations of GL(2n)
报告人：Liu Dongwen
报告时间：2019年11月3日11:00-12:00
报告地点：精正楼三楼报告厅307
摘要:The descent of symplectic supercuspidal representations of GL(2n) to SO(2n+1) over p-adic fields was established by Dihua Jiang, Chufeng Nien and Yujun Qin. In this talk we give a conjectural description of the explicit descent and prove the depth zero case. This is an ongoing joint work with Chufeng Nien, Jiajun Ma and Zhicheng Wang.