Arithmetic of automorphic L-functions and cohomological test vectors
Time: Thu, 11 Jul 2019, 13:30-15:05
Place: First conference room at Jinchunyuan West Building (近春园西楼)
Speaker: Binyong Sun (AMSS)
Abstract:
It was known to Euler that ζ(2k) is a rational multiple of π2k, where ζ is the Euler-Riemann zeta function, and k is a positive integer. Deligne conjectured that similar results hold for motives over number fields, and automorphic analogue of Deligne’s conjecture was also expected. I will explain the automorphic conjecture, as well as some recent progresses on it. The Archimedean theory of cohomological representations and cohomological test vectors will also be explained, as they play a key role in the proof.