Viatcheslav Kharlamov: Unexpected loss of Smith-Thom maximality in the case of Hilbert squares

Date: 2023-06-26

Time: 09:30 - 10:30

Speaker

Viatcheslav Kharlamov, Université de Strasbourg

Abstract

In ongoing work with Rares Rasdeaconu we explore the maximality of the Hilbert square of maximal real varieties. We found that starting from dimension 2 many of deformation classes of algebraic varieties do not contain any real variety whose Hilbert square is maximal. For example, the K3-surfaces have never a maximal Hilbert square. In this talk I intend to outline the current state of our knowledge on this subject.