Deep Learning Methods in Mathematical Physics
Speaker: Prof. Ovidiu Calin, Department of Mathematics & Statistics, Eastern Michigan University
Host: S. Baskar
Title: Hamiltonian Systems
Time, day and date: 11:30:00 AM - 12:30:00 PM, Friday, February 20
Venue: Ramanujan Hall
Abstract: This lecture focuses on Hamiltonian systems and their formulation within the Hamiltonian framework. We study classical examples such as the harmonic oscillator, the simple pendulum, and charged particle motion in a magnetic field, and show how neural networks can be used to learn and reproduce Hamiltonian dynamics. Special attention is given to canonical transformations and generating functions, highlighting their role in structure-preserving, data-driven modeling of physical systems.

APS
Speaker: Sourav Khatua, IIT Bombay
Host: Sutanu Roy
Title: On path spaces of quantum graphs
Time, day and date: 4:15:00 PM – 5:15:00 PM, Friday, February 20
Venue: Ramanujan Hall
Abstract: Let (B,\psi_B, A) be a quantum graph, where B is a finite-dimensional C*-algebra equipped with a faithful state \psi_B and A is a quantum adjacency matrix. Using the notion of quantum edge correspondences, we construct path spaces of arbitrary length as C*-correspondences over B. We show that these path spaces form a sub-product system over the center Z(B). Furthermore, we prove that when two quantum graphs are classically isomorphic, then there is a correspondence isomorphism between the respective sub-product systems.

APS
Speaker: Lekha Das, IIT Bombay
Host: Rekha Santhanam
Title: Model Category Structures on an n-Cube.
Time, day and date: 4:30:00 PM – 5:30:00 PM, Friday, February 20
Venue: Room 215
Abstract: In this talk we are going to discuss the model category structures on an n-cube using the notion of 'proto-centers' of weak equivalence classes introduced by Droz and Zakharevich(2021). We also try to give an enumeration of model structures on 4-cube having only one 'non-trivial' weak equivalence class.