Time: 11:00-12:00, Thursday, May 9 2024
Venue: E4-233, Yungu Campus
Host: Ivan Fesenko, ITS
Speaker: Kyu-Hwan Lee, University of Connecticut
Biography: Professor Kyu-Hwan Lee received his PhD degree in 2001 from Seoul National University. Since 2005 he works in the University of Connecticut, he is full professor from 2017. His research interests are several areas of representation theory, including those related to extensions of the Langlands-Shahidi program, new types of Hecke algebras in relation to higher local fields, modern number theory, combinatorics and machine learning. Recently, he discovered murmuration phenomena, already reported in an article in Quanta Magazine (https://www.quantamagazine.org/elliptic-curve-murmurations-found-with-ai-take-flight-20240305/).
Title: AI-assisted mathematical discovery: murmurations of elliptic curves
Abstract:
Recently, there have been successful attempts to apply machine learning to various objects in pure mathematics. After overviewing these activities, we will focus on the case of elliptic curves, where a new phenomenon, called "murmuration", has been discovered through machine learning techniques. Understanding this new phenomenon has been a challenge to the number theory community, resulting in a hot-topics workshop at ICERM last year and several papers on the subject.
