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Enumerative geometry of (C*)^2 and the double double ramification cycle

  • 演讲者:Ajith Urundolil Kumaran(Massachusetts Institute of Technology)

  • 时间:2025-12-12 14:00-15:00

  • 地点:理学院大楼M1001, Zoom ID : 365 418 2693, Password:251212

Abstract

We introduce the enumerative geometry of (C*)^2 and connect it with intersection numbers against the higher rank double ramification cycle. A certain all genus generating function of these enumerative/virtual invariants with top lambda class insertion can be explicitly calculated using a refined tropical correspondence theorem (joint work with Patrick Kennedy-Hunt and Qaasim Shafi). This generalizes the refined tropical correspondence theorem of Pierrick Bousseau. We will report on joint work in progress with Dylan Toh on a tropical correspondence theorem in genus 1 without a top lambda class insertion.