This quarter, we 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: 

• Apr. 7. Patrick Girardet. Decomposition of Chow groups of abelian varieties. 

• Apr. 14. Bochao Kong. Some examples of Mukai's reflections on K3 surfaces.

• Apr. 21.(At 9:00 am) Andrea Ricolfi. Higher rank K-theoretic Donaldson-Thomas theory of points. 

• Apr. 28. Shubham Sinha. Stable quasimaps to GIT quotients.

• May. 5. Woonam Lim. Kawai-Yoshioka's formula on hodge numbers of moduli spaces of stable pairs on K3 surfaces. 

• May. 12. Michail Savvas. Fourier-Mukai transforms for elliptic surfaces.

• May. 19. Patrick Girardet. Refined Verlinde formulas for moduli of sheaves on K3 surfaces.

• June. 9. Shubham Sinha. Quantum cohomology of Grassmannian. 

List of references in order: 

• [Beauville] On the Chow ring of an abelian variety.

• [Yoshioka] Some examples of Mukai's reflections on K3 surfaces.

• [Fasola, Monavari, Ricolfi] Higher rank K-theoretic Donaldson-Thomas theory of points. 

• [Ciocan-Fontanine, Kim, Maulik] Stable quasimaps to GIT quotients.

• [Kawai, Yoshioka] String partition functions and infinite products.

• [Bridgeland] Fourier-Mukai transforms for elliptic surfaces.surface.

• [Gottsche] Refined Verlinde formulas for Hilbert schemes of points and moduli spaces of sheaves on K3 surfaces.