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Graduate Algebraic Geometry and Commutative Algebra Seminar

Event Type
Seminar/Symposium
Sponsor
Department of Mathematics
Location
AH143
Date
Feb 5, 2025   3:00 - 4:00 pm  
Speaker
Li, Ruoxi
Contact
Zijing Ye
E-Mail
zijingy2@illinois.edu
Views
35
Originating Calendar
Graduate Student Seminars in Mathematics
Title: Computation of Gromov-Witten Invariants via Virtual Localization
Abstract: In this talk, I will begin by presenting a toy model of the virtual localization formula. Then, I will apply virtual localization to compute two well-known genus 0 Gromov-Witten invariants: the number of lines passing through two points in P^2 and the number of lines in a quintic threefold. If time permits, I will discuss the formula for higher-genus (twisted) Gromov-Witten invariants of projective spaces and outline the general strategy for computing higher-genus Gromov-Witten invariants of hypersurfaces.

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