Enumerative Geometry Zoominar, Spring 2020

Woonam Lim

This quarter, we plan to have a paper reading seminar on enumerative theories of K3 surfaces. Occasionally, we will have outside speakers speaking about their research.

Organizational: Tuesday 2:00 - 3:30 at Zoom

List of lectures:

  1. Apr. 7. Patrick Girardet. Decomposition of Chow groups of abelian varieties.
  2. Apr. 14. Bochao Kong. Some examples of Mukai's reflections on K3 surfaces.
  3. Apr. 21.(At 9:00 am) Andrea Ricolfi. Higher rank K-theoretic Donaldson-Thomas theory of points.
  4. Apr. 28. Shubham Sinha. Stable quasimaps to GIT quotients.
  5. May. 5. Woonam Lim. Kawai-Yoshioka's formula on hodge numbers of moduli spaces of stable pairs on K3 surfaces.
  6. May. 12. Michail Savvas. Fourier-Mukai transforms for elliptic surfaces.
  7. May. 19. Patrick Girardet. Refined Verlinde formulas for moduli of sheaves on K3 surfaces.
  8. June. 9. Shubham Sinha. Quantum cohomology of Grassmannian.

List of references in order:

  1. [Beauville] On the Chow ring of an abelian variety.
  2. [Yoshioka] Some examples of Mukai's reflections on K3 surfaces.
  3. [Fasola, Monavari, Ricolfi] Higher rank K-theoretic Donaldson-Thomas theory of points.
  4. [Ciocan-Fontanine, Kim, Maulik] Stable quasimaps to GIT quotients.
  5. [Kawai, Yoshioka] String partition functions and infinite products.
  6. [Bridgeland] Fourier-Mukai transforms for elliptic surfaces.surface.
  7. [Gottsche] Refined Verlinde formulas for Hilbert schemes of points and moduli spaces of sheaves on K3 surfaces.