Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
An introduction to Categorical Enumerative Invariants
Categorical Enumerative Invariants (CEI) are a collection of invariants introduced by Costello (2005) and Costello, Tu and myself (2020-2024). They are attached to a smooth and proper Calabi-Yau category and a splitting of its Hodge-de Rham filtration. When computed for the Fukaya category of a symplectic manifold they are expected to yield classical Gromov-Witten invariants, while using other Calabi-Yau categories should recover many other classically defined enumerative theories (BCOV, FJRW, Saito-Givental, etc.)
This will be the first of two talks. In this first talk I will begin laying out the foundation of the construction of CEI and their relationship to field theories. If time allows I will try to emphasize the role of the splitting in the theory, which is a new aspect not typically seen in Gromov-Witten theory.