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

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

Speaker: Ajith Urundolil Kumaran (Massachusetts Institute of Technology)
Time: Dec 12, 2025, 14:00-15:00
Location: M1001, College of Science Building

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.