Absolute convergence of the twisted Arthur-Selberg trace formula

Number Theory Seminar

Abhishek Parab (Purdue University)

Wednesday, September 27, 2017 -
3:15pm to 4:15pm
119 Physics

We show that the distributions occurring in the geometric and spectral side of the twisted Arthur-Selberg trace formula extend to non-compactly supported test functions. The geometric assertion is modulo a hypothesis on root systems proven among other cases, when the group is split. This result extends the work of Finis-Lapid (and Muller, spectral side) in the non-twisted setting. In the end, we will give an application towards residues of Rankin-Selberg L-functions suggested by J. Getz.

Last updated: 2017/09/25 - 10:06am