Departmental Colloquium
Mircea Mustata
University of Michigan
Combinatorics and topology of toric maps
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.
Friday April 25, 2014 at 3:00 PM in SEO 636