Recent Progress on the Mixing Conjecture of Michel and Venkatesh

Explore recent advances in analytic number theory through this conference talk examining the mixing conjecture proposed by Michel and Venkatesh, delivered at the International Congress on Basic Sciences 2025. Delve into cutting-edge mathematical research as the speaker presents new developments and progress made toward understanding this important conjecture in the field of automorphic forms and L-functions. Gain insights into sophisticated techniques and methodologies being employed to tackle this challenging problem, which sits at the intersection of harmonic analysis, representation theory, and number theory. Learn about the theoretical framework underlying the mixing conjecture and discover how recent breakthroughs are advancing our understanding of the spectral properties of automorphic forms on arithmetic quotients.