Schedule:

Lecture 1: 3:00pm-4:30pm  November 19, 2024   Wangxuan Lecture Hall, Zhihua Building

Lecture 2: 3:00pm-4:30pm  November 20, 2024   Wangxuan Lecture Hall, Zhihua Building

Abstract: We will discuss a connection between 3 subjects:

1. perturbation theory of complex Chern-Simons theory in 3-dimensions.

2. admissible series and Nahm sums of Kontsevich-Soibelman.

3. q-de Rham cohomology and integral p-adic Hodge theory.

The common thread between them are line bundles over the Habiro ring of a number field F indexed by the third algebraic K-theory group K_3(F) of F. Joint work with Peter Scholze, Campbell Wheeler and Don Zagier.

Bio-Sketch: Prof. Stavros Garoufalidis is currently a Chair Professor at Southern University of Science and Technology. He has held positions at various institutions including the Massachusetts Institute of Technology, Brown University, Harvard University, Brandeis University, and the Georgia Institute of Technology. He has also served as a Simons Foundation Fellow and an External Scientific Member of the Max Planck Institute for Mathematics. His research interests lie in low-dimensional topology, geometry, and mathematical physics. He has published numerous papers in journals such as the Journal of the AMS, Inventiones Mathematicae, and Proceedings of the National Academy of Sciences of the USA (PNAS). He has received honors including the Sloan Research Fellowship, the John Simon Guggenheim Memorial Foundation Award, and the American Mathematical Society Centennial Fellowship Award. His research interests are in low (i.e. 3 and 4) dimensional topology, the Jones polynomial, hyperbolic geometry, mathematical physics, Chern-Simons theory, string theory, M-theory, enumerative combinatorics, enumerative algebraic geometry, number theory, quantum topology, asymptotic analysis, numerical analysis, integrable systems, motivic cohomology, K-theory, Galois theory, deformation and geometric quantization.