数学科学研究所
Insitute of Mathematical Science

Seminar: A comparison of two constructions of supercuspidal representations and its application to local theta correspondence

Seminar| Institute of Mathematical Sciences

Time:10:30-11:30 Wednesday, December 4 

LocationRoom S408, IMS

 

Speaker:  Jiajun Ma from Jiaotong University 

Abstract:  I will present a joint work with Hung Yean Loke, which explicitly describes the local theta correspondence (over a  p-adic field and p is not equal to 2) between supercuspidal representations in terms of Bushnell-Kutkzo-Stevens' parameter. This extends our previous work on the tamely ramified case.In the talk, I will first compare Bushnell-Kutzko-Stevens’ and Yu-Kim’s approaches to supercuspidal types and show that they are the same in the tame case. In fact, by observing the similarity of the two approaches, we can translate our proofs in the tame case to Bushnell-Kutzko-Stevens’ setting modulo some technical lemmas.



地址:上海市浦东新区华夏中路393号
邮编:201210
上海市徐汇区岳阳路319号8号楼
200031(岳阳路校区)