REPRESENTATION THEORY SEMINAR - Yeansu Kim

Speaker: 
Yeansu Kim
Topic: 
The generic local Langlands correspondence and the generic Arthur packet conjecture for classical groups and GSpin groups

Abstract: Recently, Heiermann and I have constructed the local Langlands parameter that

corresponds to an irreducible admissible generic representation of GSpin groups

(the generic local Langlands correspondence for GSpin groups). In arxiv:1507.07156, I further study the structure of the L-packet which contains a generic representation. As an application, I prove the strong version of the generic Arthur packet conjecture in the cases of classical groups and GSpin groups. The strong version of the generic Arthur packet conjecture states that if the L-packet attached to an Arthur parameter has a generic member, then it is a tempered L-packet. Note that we fi

rst use Shahidi's following result: If L-functions from Langlands-Shahidi method for a connected reductive group G are Artin L-functions through the local Langlands correspondence, the weak version of the generic Arthur packet conjecture is true for G.  

 

 

Event Date: 
September 16, 2015 - 10:30am to 11:30am
Location: 
B13 MLH
Calendar Category: 
Seminar