Topology meets Artificial Intelligence (AI)
Organizers
Vassily Manturov
, Shiquan Ren
,
Zhe Yan Wan
Speaker
Time
Wednesday, October 9, 2024 3:30 PM - 5:00 PM
Venue
A3-2-301
Online
Zoom 831 5020 0580
(141592)
Abstract
This talk aims to address one of the fundamental questions in the mind of youngth what we (as topologists or pre-topologists) could/should do in the times of Artificial Intelligence (AI). For helping you to find the answer of this question that is suitable to yourself, we will talk by samples on the bi-directional interactions between algebraic topology and AI, which consists of an introduction to a work of Kirill Brilliantov, Fedor Pavutniskiy, Dmitry Pasechnyuk and German Magao on the applications of language models to some hard problems in algebraic topology, a new-born research field of GLMY theory on digraphs that aims to establish topological foundations for high-order interaction complex network, and some practical applications of algebraic topology in sciences.
Speaker Intro
Jie Wu received a Ph.D. degree in Mathematics from the University of Rochester and worked as a postdoc at Mathematical Sciences Research Institute (MSRI), University of California, Berkeley. He was a former tenured professor at the Department of Mathematics, National University of Singapore. In December 2021, he joined the Yanqi Lake Beijing Institute of Mathematical Sciences and Applications (BIMSA). His research interests are algebraic topology and applied topology. The main achievements in algebraic topology are to establish the fundamental relations between homotopy groups and the theory of braids, and the fundamental relations between loop spaces and modular representation theory of symmetric groups. In terms of applied topology, he has obtained various important results on topological approaches to data science. He has published more than 90 academic papers in top mathematics journals such as “the Journal of American Mathematical Society”, “Advances in Mathematics”, etc. In 2007, he won the "Singapore National Science Award”. In 2014, his project was funded by the “Overseas Joint Fund of National Natural Science Foundation” (Jieqing B).