Cancelled: Quasi-generic representations and local L-factors in Hecke eigenvalues


Satoshi Kondo

09:10:00 - 10:00:00

101 , Mathematics Research Center Building (ori. New Math. Bldg.)

This is a joint work with Seidai Yasuda. We define quasi-generic representations of the general linear group of a non-archimedean local field. This class includes generic representations. There exists an analogue of a new vector. We show that the local L-factor can be expressed in terms of the eigenvalues of certain explicitly given Hecke operators.