Geometric Structures and Stability

Date: 16 - 27 February 2026

Location: ICTS-TIFR, Bengaluru

In recent years, several significant breakthroughs have occurred in the theory of moduli spaces, Bridgeland stability conditions, K-stability, geometric invariant theory, and the theory of canonical metrics. At the same time, profound new connections have emerged between these diverse areas. This convergence has inspired far-reaching conjectures and ambitious research programs aimed at uncovering the hidden unifying structures underlying these developments. This program seeks to bring together leading experts and early-career researchers from across these fields to explore their synergies and advance these research directions.

A key feature of the program will be the special “Ramanujan Lectures” by Professor Nigel Hitchin. These lectures will weave together the various thematic threads of the conference, offering a comprehensive overview of the deep interconnections between the subjects represented and articulating a vision for their future development.

A central component of the program will be a pedagogical series of four minicourses, each consisting of approximately three lectures, designed to provide foundational background and cutting-edge perspectives on the core themes of the program. They will serve as an accessible entry point for graduate students and early-career researchers, helping to bridge the gap between current research and foundational knowledge. Through these minicourses, participants will gain the tools and conceptual frameworks necessary to engage deeply with the program’s advanced topics and open problems.

CMI Enhancement and Partnership Program