Jump To中央區塊/Main Content :::
:::

Seminars

Algebraic Geometry Seminar

Topology of the Geometric Stability Manifold

2024/02/16 (Fri.) 10:00~12:00
  • Date : 2024/02/16 (Fri.) 10:00~12:00
  • Location : online
  • Speaker : Nick Rekuski (Wayne State University)
  • Organizer : Arkadij Bojko Email: abojko (at) gate (dot) sinica (dot) edu (dot) tw
  • Website : https://wiki.preschema.com/ag-seminar
  • 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 topology and geometry of the stability manifold has applications to homological mirror symmetry, representation theory, symplectic geometry, and the moduli of stable sheaves. In this direction, a folklore conjecture states the stability manifold is actually contractible. In this talk we give a partial answer to this conjecture in the case of surfaces.
:::