SAG: Classifying projective homogeneous varieties in positive characteristic

by Dr Matilde Maccan (Universtität Bochum)

Wednesday Jan 22, 2025, 4:00 PM → 5:00 PM Europe/Berlin

Endenicher Allee 60/0-008 (Mathezentrum)

Alongside toric varieties, flag varieties are one of the rare classes of objects in algebraic geometry on which one can perform explicit calculations and test conjectures. In positive characteristic, there are ‘twisted’ versions of these varieties, i.e. homogeneous varieties (projective, rational) with a non-reduced parabolic subgroup as stabiliser. In this talk, I will present their classification, starting with the history of the problem and ending with a uniform description, independent of the group and the characteristic of the base field. If time permits, I will address the first geometrical consequences.