Recent developments in higher genus curve counting: February 10 -14, 2025

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Organized by:

• Qile Chen (Boston College)
• Felix Janda (University of Illinois Urbana-Champaign)
• Sheldon Katz (University of Illinois Urbana-Champaign)
• Melissa Liu (Columbia University)
• John Pardon (SCGP)
• Rachel Webb (Cornell University)

Modern curve-counting theories were in part inspired by the work of physicists yet have active lives of their own as interesting and rich mathematical notions with connections to many areas of mathematics. A plethora of enumerative invariants have been developed, including Gromov–Witten (GW) invariants, Donaldson–Thomas (DT) invariants, Fan–Jarvis–Ruan–Witten (FJRW) invariants, GLSM invariants, as well as variants of these curve-counting theories.  Many conjectures about enumerative invariants have arisen from physics, providing both deep insight as well as strategies for effective computation.  Several of these conjectures have been proven in recent years, sometimes in their original form, and other times after the conjecture has been translated into a mathematically more natural framework.  This workshop will focus on the higher genus curve counts from multiple angles, including geometric, computational and categorical perspectives.

This workshop is associated with the program: Recent developments in higher genus curve counting: January 6 – February 28, 2025