Enumerative Invariants, Quantum Fields and String Theory Correspondences

The study of enumerative invariants of Calabi-Yau (CY) manifolds is a fertile source of connections between algebraic geometry, representation theory, and string theory. This field has undergone rapid development in recent years. In the context of mathematics, this includes novel results on DT invariants, on wall crossing, on the automorphic properties of invariants of elliptically-fibered manifolds, and on the generalization to other special holonomy manifolds. From a physics perspective this goes hand in hand with a deeper understanding of quantum field theories/supergravity theories and their twisted partition functions, which brings into play various different perspectives including twisted/topological M-theory, higher dimensional SCFTs, and string theory correspondences. 

The purpose of this workshop is to bring together physicists and mathematicians working on enumerative geometry and related areas to promote the dissemination of recent results and build new bridges across interdisciplinary boundaries. The focus will be on developments that have taken place in these fields since the first edition of the workshop, which took place in 2022, with particular emphasis on the theory of higher DT invariants, topological string theory for CY fourfolds, and their interplay with number theory, modularity, and the theory of topological modular forms. 

This workshop is co-funded by the ERC project EXTENDED