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# Abhishek Parab : Absolute convergence of the twisted Arthur-Selberg trace formula

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.

**Category**: Number Theory**Duration**: 01:34:38**Date**: September 27, 2017 at 3:10 PM**Views**: 102-
**Tags:**seminar, Number Theory Seminar

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