In this talk, I will report on joint work with Chandrasheel Bhagwat. For an even positive integer n, we study rank-one Eisenstein cohomology of the split orthogonal group O(2n+2) over a totally real number field F. This is used to prove a rationality result for the ratios of successive critical values of degree 2n Langlands L-functions associated to the group GL(1) x O(2n) over F. The case n=2 specializes to results of Shimura on the special values of Rankin-Selberg L-functions attached to a pair of Hilbert modular forms.
Special values of L-functions for orthogonal groups
26.05.2020 13:15 - 14:45
Organiser:
H. Grobner, A. Minguez-Espallargas, A. Mellit
Location:
Zoom ID: 431 655 310