Olivier Debarre (IMJ-PRG)

Parametrizing subvarieties of a given algebraic variety.

  • Data: 07 FEBBRAIO 2023  dalle 11:15 alle 13:00

  • Luogo: Seminario II, Ore 11.15

Abstract: Given an algebraic variety $X$ in a projective space, one can try to describe the families of curves (lines, conics...), surfaces (planes, quadrics...), and other subvarieties contained in $X$. These families are themselves algebraic varieties that can help understand the geometry of $X$. I will review the classical case when $X$ is a cubic hypersurface and then continue with the case where $X$ is a so-called Gushel-Mukai variety. This is work in collaboration with Alexander Kuznetsov.