Gromov-Witten theory of non-convex complete intersections

Thursday 5th October 2023 (15:00-16:00)
Event Convenor Contact:
Speaker's Name: Nawaz Sultani
Speaker's Affiliation: Michigan
Speaker's Research Theme(s): Algebraic Geometry,
For a convex complete intersection X, the Quantum Lefshetz Hyperplane theorem (QLHT) relates the Gromov-Witten (GW) invariants of X to those of the ambient space. This is most notably used in the proof of genus 0 mirror symmetry for complete intersections in toric varieties, since the invariants of the ambient toric variety are easier to compute. However, orbifold complete intersections are rarely convex, hence QLHT often fails even in genus 0. In this talk, I will showcase a method to compute the genus 0 GW invariants for orbifold complete intersections in stack quotients of the form [V//G], regardless of convexity conditions. The invariants computed by this method include all the invariants one expects of QLHT, even when QLHT fails. This talk will include results from joint works with Felix Janda (Notre Dame) and Yang Zhou (Fudan), and with Rachel Webb (Berkeley). Note: This is a repeat of Nawaz's talk on 10 August, which had to be abandoned part-way through due to severe weather causing technical issues.

Venue: Teams
Online Conference Link:

School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

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