Hiraku Abe (Osaka Prefecture University)

Title: On weak Fano Hessenberg varieties 

Abstract: 
Hessenberg varieties are subvarieties of the full flag variety, 
and they were introduced by De Mari-Procesi-Shayman around 1990. 
Particular examples are the Springer fibers, the Peterson variety, 
and the permutohedral variety. Similarly to Schubert varieties, 
it has been found that geometry, combinatorics, 
and representation theory interact nicely on Hessenberg varieties. 
In this talk, I will give a brief introduction to Hessenberg varieties including recent 
results based on joint work with Naoki Fujita and Haozhi Zeng.