We had a paper reading seminar on Hilbert scheme of points on surfaces and Beauville-Voisin conjecture for HyperKahler varieties. 

Organizational: Tuesday 3:00 - 4:30 at APM 5829

List of lectures: 

• Jan. 14. Woonam Lim. Recursive structure on Hilbert scheme of points on surfaces.

• Jan. 21. Bochao Kong. On the product identities and the Chow rings of holomorphic symplectic varieties.

• Jan. 28. Patrick Girardet. Heisenberg action on cohomology of Hilbert scheme of points on surfaces.

• Feb. 4. Shubham Sinha. TQFT defined by Quot schemes on curves.

• Feb. 10. Patrick Girardet. Tautological classes and Lehn's formula in cohomology.

• Feb. 20. Sayanta Mandal. Betti numbers of the moduli space of sheaves on projective plane.

• Feb. 25. Michail Savvas. Lehn's formula in Chow group and its application to Beauville-Voisin conjecture. 

• Mar. 3. Woonam Lim. Introduction to motives.

List of references in order: 

• [Ellignsrud, Gottsche, Lehn] On the Cobordism Class of the Hilbert Scheme of a Surface.

• [Barros, Flapan, Marian, Silversmith] On product identities and the Chow rings of holomorphic symplectic varieties.

• [Nakajima] Heisenberg Algebra and Hilbert Schemes of Points on Projective Surfaces.

• [Marian, Oprea] GL Verlinde numbers and Grassmann TQFT.

• [Lehn] Chern Classes of Tautological Sheaves on Hilbert Schemes.

• [Mandal] On the stabilization of the Betti numbers of the moduli space of sheaves on P2.

• [Maulik, Negut] Lehn's formula in Chow and Conjectures of Beauville and Voisin.

• [Murre, Nagel, Peters] Lectures on theory of pure motives.