Presented by: 
Qendrim Gashi, University of Prishtina
Tue 13 Aug, 3:00 pm - 4:00 pm
Room 442, Building 67

Symmetry is ubiquitous in nature and mathematics, and root systems (and related variants) are fundamental in the study of symmetries. Toric varieties arising from root systems seem to be a natural geometric object that allow us to pass between geometry and combinatorial convexity, as the need arises. In this talk we will discuss some results (cohomology-vanishing, normality, quadraticity, etc.) on line bundles on those toric varieties.

The first part of the talk is aimed for a general mathematical audience and will be mainly combinatorial. The second part will discuss results in toric theory as well as some related work in on affine Deligne-Lusztig varieties.