|Topology of Algebraic Varieties|
|Topic:||Toric chordality and applications|
|Affiliation:||Hebrew University of Jerusalem; Member, School of Mathematics|
|Date:||Wednesday, January 28|
|Time/Room:||11:15am - 12:30pm/S-101|
Inspired by the elementary notion of graph chordality, we introduce the notion of toric chordality, which naturally gives a tool to to study the geometry and combinatorics of cohomology classes of toric varieties and the weight algebras of polytopes. Moreover, I will sketch some interesting applications:
-- The notion of toric chordality naturally provides new proofs and generalizations of a variety of crystallization theorems arising in commutative algebra.
-- Moreover, I will discuss a quite unprecedented relation between primitive Betti numbers of toric varieties and the shape of a convex polytope, and finally
-- I will discuss some applications to the study of deformation spaces of polytopes.