Speaker:   Nick Rekuski, WSU
Time:  1:00 - 2:30
Place:   Nelson Room 1146 Faculty Administration Building
Title:  Topology of the Geometric Stability Manifold

Abstract: Stability conditions are a framework to study moduli of complexes. In fact, the collection of all stability conditions forms a complex manifold called the stability manifold. Understanding the geography of the stability manifold has applications to homological mirror symmetry, representation theory, symplectic geometry, and the moduli of stable sheaves. In this talk we describe recent progress showing a natural submanifold of the stability manifold is contractible. In many cases this allows us to show the whole stability manifold is contractible.