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

Date: 2023-06-26

Time: 09:30 - 10:30

Zoom link:


Viatcheslav Kharlamov, Université de Strasbourg


We explore the maximality of the Hilbert square of maximal real surfaces, and find that in many cases the Hilbert square is maximal if and only if the surface has connected real locus. In particular, the Hilbert square of no maximal K3-surface is maximal. Nevertheless, we exhibit maximal surfaces with disconnected real locus whose Hilbert square is maximal.

The talk is based on a joint work with R. Rasdeaconu.