Jump To中央區塊/Main Content :::
:::

Seminars

Algebraic Geometry Seminar

Quot schemes, semiorthogonal decompositions and tautological bundles

2025/02/04 (Tue.) 15:00~17:00
  • Date : 2025/02/04 (Tue.) 15:00~17:00
  • Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
  • Speaker : Andrei Negut (EPFL)
  • Organizer : Ionut Ciocan-Fontanine, Adeel Khan, Y.P. Lee, Cheng-Chiang Tsai (AS)
  • Abstract : In this joint work with Alina Marian, we study the geometric representation theory of Quot schemes of 0-dimensional coherent sheaves on curves: the overall structure we obtain is a categorification of quantum loop sl_2 acting on the derived categories of Quot schemes. We have two uses for this machinery: we produce an explicit semiorthogonal decomposition of the derived categories in question (which we expect match Toda's wall-crossing construction), and we prove conjectures of Krug and Oprea-Sinha on the cohomology of tautological bundles on Quot schemes.
:::