by
Prof.Kartik Prasanna(University of Michigan, USA)
→
Asia/Kolkata
AG-77 (TIFR, Mumbai)
AG-77
TIFR, Mumbai
Description
Abstract:
I will discuss the following question: is Langlands functoriality
given by algebraic cycles? After listing some examples of interest, the
talk will focus mostly on one case, namely that of GL_2 and its inner
forms over a totally real field. In this case, we can show that
functoriality is given by something close to an absolute Hodge cycle. Time
permitting, I will conclude by mentioning some speculative ideas on
possible improvements and generalizations of this result. (Joint work in
progress with Atsushi Ichino).