中科院数学与系统科学研究院

数学研究所

表示论研讨班

报告人：  罗才华 博士（Chalmers University of Technology）

题  目：Clozel’s finiteness conjecture of special exponents

时  间：2019.05.16（星期四），10:30-11:30

地  点：数学院南楼N820室

摘  要：About 30 years ago, in his first attempt to prove Howe’s finiteness conjecture, Clozel made an assumption that the set of special exponents is finite, the so-called Clozel’s finiteness conjecture. Some special cases are known as corollaries of answering the deep question of explicitly determining the set of discrete series, like GL_n  (Bernstein 1970s),  classical groups (Moeglin-Tadic 2000s). In this talk, we want to serve you an intuitive reduction step which is a corollary of Muller type irreducibility criterion for generalized principal series based on two novel observations.