Relative Langlands and Endoscopy in Arithmetic Settings

Explore a conference talk from the Arithmetic Quantum Field Theory Conference where Spencer Leslie from Boston College delves into the role of spherical varieties in studying periods of automorphic forms and their connection to distinct arithmetic problems. Learn how different forms of spherical varieties can be distinguished in arithmetic settings, with a particular focus on symmetric varieties. Discover the intricate relationship between these distinctions and the dual Hamiltonian variety construction developed by Ben-Zvi, Sakellaridis, and Venkatesh. Examine the theory of endoscopy for symmetric varieties and its applications to the (pre)-stabilization of relative trace formulas, providing insights into the broader context of relative Langlands and endoscopy.