Enumerative Geometry and Categorification

Date: 6 - 10 July 2026

Location: ICTS Bangalore

This discussion meeting will present recent developments in modern enumerative geometry, with an emphasis on curve- and sheaf-counting theories and their refinements. The programme will cover topics such as Gromov–Witten and Donaldson–Thomas invariants, their motivic and K-theoretic enhancements, and categorical invariants arising from derived categories and matrix factorizations. A particular focus will be on methods rooted in derived algebraic geometry and shifted symplectic structures, which have greatly advanced the computation and conceptual understanding of these invariants.

Over the past decades, ideas such as Kontsevich–Soibelman’s theory of refined DT invariants and the emergence of curve-counting frameworks for Landau–Ginzburg models have revealed deep connections between enumerative geometry, representation theory, and theoretical physics. This meeting aims to bring together researchers to explore these links and to provide a platform for advanced graduate students, postdoctoral fellows, and faculty in India to interact with leading experts working on these themes.

CMI Enhancement and Partnership Program