Algebraic Geometry Seminar

Seminar information archive ~02/06Next seminarFuture seminars 02/07~

Date, time & place Tuesday 10:30 - 11:30 or 12:00 ハイブリッド開催/002Room #ハイブリッド開催/002 (Graduate School of Math. Sci. Bldg.)

2022/11/29

10:30-11:30   Room #ハイブリッド開催/002 (Graduate School of Math. Sci. Bldg.)
Thomas Hall (University of Nottingham)
The behaviour of Kahler-Einstein polygons under combinatorial mutation
(English)
[ Abstract ]
Combinatorial mutations play an important role in the mirror symmetry approach to the classification of Fano varieties. Another important notion for Fano varieties is that of K-polystability, which turns out to have a nice combinatorial characterisation in the toric case. In this talk, I will give an overview of how mutations work and sketch the key ideas used to explore its interaction with Kahler-Einstein polygons (i.e. the Fano polygons whose associated toric variety is K-polystable).