Orbifold Gromov–Witten theory of complete intersections

Abstract: For genus 0 GW invariants of schemes, one can compute the GW theory of a complete intersection in projective space in terms of the GW theory of the ambient space through the so-called Quantum Lefschetz theorem (QL). However, this theorem doesn't necessarily hold when one considers stacky targets, which makes such examples much more difficult to understand.

In this talk, I will discuss the failure of QL in the orbifold case, and present techniques that allow us to compute the $g=0$ GW invariants in these cases when the target is a complete intersection in a stacky GIT quotient. The work presented is joint with Felix Janda and Yang Zhou. I will also not assume you know anything about GW theory prior.

algebraic geometry

Audience: researchers in the discipline

American Graduate Student Algebraic Geometry Seminar

Series comments: The American Graduate Student Algebraic Geometry Seminar (AGSAGS) is a virtual seminar by and for algebraic geometry graduate students.

The goal of this seminar is for graduate students to share their research through online talks and to provide an algebraic geometry graduate networking system. Grad students, postdocs, and professors are welcome to attend.

Seminars will be held on Mondays at 4 p.m. Eastern on Zoom. We hope this time is convenient for graduate students in the Americas, hence the name AGSAGS. Prior registration is required and interested participants should register here: sites.google.com/view/agsags/registration. In addition to graduate talks, there will be occasional social events.