Classification of degenerations and Picard lattices of Kahlerian K3 surfaces with finite symplectic automorphism group

Abstract: I will speak about my results which I obtained during last years 2013-2020. This classification is almost finished now. Only for very small symplectic automorphism groups of order 4, 3, 2 and 1 it is not completely finished now.

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.