Real structures on almost homogeneous varieties

Abstract: In this talk, we will be interested in the real structures on the almost homogeneous varieties; these are the complex algebraic varieties X endowed with an action of a reductive algebraic group G such that G acts on X with a dense open orbit. We will see how to determine when a real structure on X exists and, if so, how to describe and count all of them. In particular, we will try to illustrate our approach on two classical families of almost homogeneous varieties: the horospherical varieties (which include toric manifolds and flag varieties) and the SL(2)-almost homogeneous threefolds (which include the Fano threefolds P3, Q3, V5, and V22). This is a joint work with Lucy Moser-Jauslin (IMB, Dijon).

algebraic geometry

Audience: researchers in the topic

ZAG (Zoom Algebraic Geometry) seminar

Series comments: Description: ZAG seminar

The seminar takes place on Tuesdays and Thursdays via Zoom. Zoom passwords are given via mailing list on Fridays. To join the mailing list go to the website.

If you use a calendar system, you can see the individual seminars at bit.ly/zag-seminar-calendar

Times vary to accommodate speakers time zones but times will be announced in GMT time.