Abstract

Based on C.G. Schmidt, Januszewski constructed a p-adic analogue of the Rankin-Selberg L-functions of GL(n)×GL(n-1). However, in his construction, some expected properties for p-adic L-functions still remain to prove. In this talk, we introduce a refined construction of p-adic L-functions for GL(3)×GL(2) by a detailed study on local systems on symmetric spaces. We also discuss its variations on p-adic families of automorphic representations. This is a joint work with Takashi Hara. 

   

Organizer: Ming-Lun Hsieh (NTU)