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學術演講

Algebraic Geometry Seminar

Topology of the Geometric Stability Manifold

2024/02/16 (Fri.) 10:00~12:00
  • 日期 : 2024/02/16 (Fri.) 10:00~12:00
  • 地點 : online
  • 主講人 : Nick Rekuski (Wayne State University)
  • 籌辦人 : Arkadij Bojko Email: abojko (at) gate (dot) sinica (dot) edu (dot) tw
  • 網站 : https://wiki.preschema.com/ag-seminar
  • 演講摘要 : 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.
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