Lecture on 02 December 2025 Stands Cancelled
Date: 18 September 2025, 13, 14, 27, 28, October 2025, 03, 04, 10, 11 November 2025 and 01, 02 December 2025
Time: 2:00 PM - 3:30 PM (IST)
Graduate level introduction to modern mathematical physics with the emphasis on the geometry and physics of quantum gauge theory and its connections to string theory. We shall zoom in on a corner of the theory especially suitable for exploring non-perturbative aspects of gauge and string theory: the instanton contributions. Using a combination of methods from algebraic geometry, topology, representation theory and probability theory we shall derive a series of identities obeyed by generating functions of integrals over instanton moduli spaces, and discuss their symplectic, quantum, isomonodromic, and, more generally, representation-theoretic significance. Quantum and classical integrable systems, both finite and infinite-dimensional ones, will be a recurring cast of characters, along with the other (qq-) characters.
Zoom link: https://icts-res-in.zoom.us/j/97145585126?pwd=W0ID6dwPza2xkVZUYZwOtZDGjP2AUK.1
Meeting ID: 971 4558 5126
Passcode: 202030