Évènement

Erik Johannes Barinaga
Bergische Universität Wuppertal

Date(s) : 25/09/2025   iCal
14h00 - 15h00

Deligne–Lusztig varieties play a very important role in the representation theory of finite groups of Lie type, as covered in the landmark 1976 paper by Deligne and Lusztig. Nevertheless, these schemes remain mysterious in general. For instance, as of yet we have no real strategy to determine their \ell-adic cohomology groups in a coherent way, especially outside of the general linear case, or small rank examples. Likewise, not much is known about their Picard groups or more general (higher) Chow groups. In this talk, we will present some results on (rational, higher) Chow groups of Deligne–Lusztig varieties. We discuss a recursive formula describing the rational Picard group of a Deligne–Lusztig variety in terms of a smaller variety in the case of G=Gl_n. This is work in progress, and part of my PhD thesis.

Emplacement
I2M Luminy - TPR2, Salle de Séminaire 304-306 (3ème étage)

Catégories

• Séminaire