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Nawaz Sultani (Academia Sinica)
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Nawaz Sultani (Academia Sinica)
5 October 2023
"Gromov–Witten theory of non-convex complete intersections"
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).
Slides for this talk are available at:
Visit the Online Algebraic Geometry Seminar webpage at:
5 October 2023
"Gromov–Witten theory of non-convex complete intersections"
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).
Slides for this talk are available at:
Visit the Online Algebraic Geometry Seminar webpage at: