Reflective modular forms, Lorentzian Kac-Moody algebras and algebraic geometry

Abstract: In my talk, I will review our recent joint results with Viacheslav Nikulin on Lorentzian Kac-Moody algebras, reflexive automorphic forms and their applications to algebraic geometry.

algebraic geometrynumber theory

Audience: researchers in the topic

“Algebraic geometry and arithmetic” Viacheslav Nikulin’s 70th birthday conference

Series comments: The conference is dedicated to the 70th birthday of our colleague and friend Viacheslav Nikulin, who made a huge contribution to the theory of K3 surfaces and also other domains of geometry and arithmetic, including reflection groups, automorphic forms and infinite-dimensional Lie algebras. Topics of the conference reflect mathematical interests of the hero of the day.