Orateur
M.
Jakob Ulmer
(Paris 13)
Description
We will introduce (closed) Categorical Enumerative Invariants (CEI), developed by Kontsevich, Costello, Caldararu-Tu, mentioning how they are an algebraic generalisation of Kodaira-Spencer gravity (BCOV theory). Next, we describe the algebra relevant to the theory of open CEI, which is related to Chern-Simons theory, and highlight some results obtained by the speaker. Lastly, we comment on work in progress on how these ideas may be used to understand statements such as Gopakumar-Vafa duality on the relation between Gromov-Witten invariants of the resolved conifold and Chern-Simons theory on $S^3$.
