Endoscopy for symmetric spaces – Spencer Leslie

Spencer Leslie
Duke University, Durham

Date(s) : 26/02/2021   iCal
16 h 00 min - 17 h 00 min

Relative trace formulas are powerful tools in the study of periods of automorphic forms. However in many cases of interest, basic stability problems have not been addressed. I will discuss a notion of endoscopy with the goal of stabilizing the relative trace formula associated to a symmetric subgroup. The main example is that of unitary Friedberg-Jacquet periods, which are related to special cycles in certain unitary Shimura varieties. After introducing the endoscopic symmetric spaces in this case, I will sketch the proof of the fundamental lemma. https://arxiv.org/abs/1910.09685



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