Speaker
Prof.
Joaquin Moraga
Description
Toric varieties are ubiquitous objects in algebraic geometry. A toric variety can be described as a (partial) compactification of an algebraic torus such that the volume form of the torus has poles along every divisor added in the compactification. In this talk, we will introduce the concept of
cluster type varieties which are (partial) compactifications of algebraic tori such that the volume form has at most poles and no zeros along the boundary. These varieties have been considered by people in Mirror Symmetry, especially by Alessio Corti. In this talk, we will discuss questions regarding the detection of these varieties and their appearance in the classification of Fano varieties.
Primary author
Prof.
Joaquin Moraga
