Seminar on K-theoretic computations in enumerative geometry (Spring 2025)
- Organizer: Patrick Lei
- When: Wednesday 4:30-6 PM
- Where: 528 Mathematics
About this seminar
Enumerative geometry is a field where in many cases, the answer to a question is an actual formula. In this informal seminar, we will teach each other our tricks for actually computing these formulae. In the process, we will hopefully gain a better understanding of the underlying theory in the field.
Rules
- All talks must be about computations -- in particular, there should be concrete formulae in your talk.
- The term "enumerative geometry" should be construed broadly -- feel free to talk about whatever you think is relevant.
- Speakers must email me a title and abstract at least 24 hours before their talks.
Schedule
- 1/22
- Organizational meeting
- 1/29
- Konstantin Aleshkin (IPMU)
- Quasimap central charges for GLSM and Fourier transforms
- Mathematically, a Gauge Linear Sigma Model is a curve counting theory associated to a critical locus of a holomorphic function on a GIT quotient of a vector space. Quasimap central charges are generating functions of certain quasimap invariants related to I-functions or vertex functions or hemisphere partition functions in different contexts. I plan to explain how to compute these objects and perform variations of GIT quotient generalizing earlier results for abelian Calabi-Yau GLSM. The talk is based on a joint work in progress with Melissa Liu.
- 2/05
- Patrick Lei
- Some aspects of genus-zero mirror symmetry
- I will describe some interesting properties of the I-function of the (formal) quintic threefold which are useful in understanding genus-zero mirror symmetry.
- Reference: Zagier-Zinger
- 2/12
- No seminar
- 2/19
- Hechen Hu
- TBA