## The **International Center for Mathematical Sciences – Sofia** (ICMS-Sofia)

invites you to attend

# Introductory Toric Geometry

## first part of mini-course

by

**Peter Petrov**

**Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences**

**Annotation:**

This is the first part, consisting of four lectures, of a mini-course in which the combinatorial geometry related to toric varieties will be introduced. It will be developed to define and express properties of toric varieties and toric morphisms, and to investigate the geometry of the orbits by the torus action, in particular the orbit decomposition. Next, toric divisors, invertible and reflexive sheaves on toric variety, and their groups will be introduced and studied.

The notions and theorems will be illustrated by typical examples. One of the goals of this first part is to accumulate enough knowledge on which the second part of the course could be based.

This mini-course will be available for PhD students and postdocs in algebraic geometry, commutative algebra, or theoretical physics, who have studied basic courses in algebra and algebraic geometry. Some beginning knowledge of topology could be useful as well. Nevertheless, everything needed will be carefully explained.

## Programme:

April 15, 15:00 EEST | April 19, 15:00 EEST | April 26, 15:00 EEST | April 29, 15:00 EEST |
---|---|---|---|

Affine toric varieties and cones |
Abstract toric varieties and fans |
Orbits in toric variety |
Toric divisors and their groups |

## Venue:

All lectures will be held at Hall 403 of the Institute of Mathematics and Informatics, BAS.

Acad. Georgi Bontchev Str., Block 8

1113, Sofia, Bulgaria

Institute of Mathematics and Informatics