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

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)


On the geometric side, the workshop will investigate various moduli spaces recently introduced as tools to understand higher genus invariants, including (but not limited to) desingularizations of moduli of stable maps, moduli of N-Mixed-Spin-P fields, and logarithmic gauged linear sigma models. On the computational side, higher genus GW invariants of Calabi-Yau threefolds are expected to satisfy universal properties such as Yamaguchi–Yau finite generation, BCOV holomorphic anomaly equations, and the Castelnuovo bound, which have be established for quintic Calabi-Yau threefolds. Progress and difficulties in generalizing these results to other Calabi-Yau threefolds, and to more general targets, will be discussed at the workshop.

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