Enumerative Geometry Seminar
UCSD, Fall 2019
We had a paper reading seminar on Vafa-Witten invariants of surfaces and necessary backgrounds.
Organizational: Tuesday 3:00 - 4:30 at APM 5829
List of lectures:
Oct. 29. Bochao Kong. Virtual fundamental class.
Nov. 5. Shubham Sinha. Examples of virtual fundamental classes in enumerative geometry.
Nov. 12. Woonam Lim. Vafa-Witten invariants of surfaces.
Nov. 19. Woonam Lim. Continuation of the last lecture.
Nov. 26. Michail Savvas. K-theoretic refined Vafa-Witten invariants.
Dec. 3. Michail Savvas. Continuation of the last lecture.
List of references in order:
[Behrend, Fantechi] The intrinsic normal cone.
[Siebert] Virtual fundamental classes, global normal cones and Fulton's canonical classes.
[Tanaka, Thomas] Vafa-Witten invariants for projective surfaces I: stable case.
[Thomas] A K-theoretic Fulton class.
[Thomas] Equivariant K-theory and refined Vafa-Witten invariants.