Enumerative Geometry Seminar, Fall 2019

Woonam Lim

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:

  1. Oct. 29. Bochao Kong. Virtual fundamental class.
  2. Nov. 5. Shubham Sinha. Examples of virtual fundamental classes in enumerative geometry.
  3. Nov. 12. Woonam Lim. Vafa-Witten invariants of surfaces.
  4. Nov. 19. Woonam Lim. Continuation of the last lecture.
  5. Nov. 26. Michail Savvas. K-theoretic refined Vafa-Witten invariants.
  6. Dec. 3. Michail Savvas. Continuation of the last lecture.

List of references in order:

  1. [Behrend, Fantechi] The intrinsic normal cone.
  2. [Siebert] Virtual fundamental classes, global normal cones and Fulton's canonical classes.
  3. [Tanaka, Thomas] Vafa-Witten invariants for projective surfaces I: stable case.
  4. [Thomas] A K-theoretic Fulton class.
  5. [Thomas] Equivariant K-theory and refined Vafa-Witten invariants.