GAUGE THEORY AND STRING GEOMETRY (Mini Courses + Conference)

This two-week program aims to explore the intersection of gauge theory and string geometry, two of the most profound and rapidly developing areas of modern mathematics and theoretical physics. The first week will feature a series of five mini-courses taught by internationally acclaimed leaders in the field, while the second week will be an international conference bringing together experts and early-career researchers to foster discussions and new collaborations.

Gauge theory and string geometry have been at the forefront of mathematical and physical research for decades. Gauge theory, originating from physics, provides a framework for understanding fundamental forces and has inspired a range of mathematical advances. Notably, Donaldson’s work using gauge theory has led to significant progress in 4-manifold topology, and the development of Seiberg-Witten theory further refined our understanding of smooth 4-manifolds.

In parallel, string theory emerged as a candidate for unifying all known fundamental forces, leading to a deep interaction with mathematics. It inspired the concept of mirror symmetry, which reveals a duality between seemingly distinct Calabi- Yau manifolds and has motivated many developments in symplectic geometry and enumerative geometry.

The program will provide ample opportunities for participants to interact with experts, discuss open problems, and potentially initiate collaborations. We aim to foster an inclusive and interactive environment that encourages the exchange of ideas between researchers at different stages of their careers.