Mircea Mustata : Combinatorics and topology of toric maps

Posted by Ryan Martin , part of the Departmental Colloquium.

At

April 25, 2014, 3 p.m.

In

SEO 636

Abstract

Toric varieties are algebraic varieties endowed with a "nice" action of an algebraic torus. A remarkable feature is that their geometry can be fully described in terms of combinatorics of fans and polytopes. After explaining what these objects are and some classical facts about their cohomology, I will discuss some results concerning the topology of the fibers of toric maps and a combinatorial invariant that comes out of these considerations. This is based on joint work in progress with Marc de Cataldo and Luca Migliorini.