Topology meets Artificial Intelligence (AI)
组织者
Vassily Manturov
, 任世全
,
万喆彦
演讲者
时间
2024年10月09日 15:30 至 17:00
地点
A3-2-301
线上
Zoom 831 5020 0580
(141592)
摘要
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.
演讲者介绍
BIMSA研究员,美国罗切斯特大学数学系博士,加州大学伯克利分校数学研究所博士后,前新加坡国立大学数学系终身教授,2021年12月入职北京雁栖湖应用数学研究院(BIMSA)。研究方向为代数拓扑与应用拓扑,在代数拓扑理论研究上的主要成就是建立了同伦群与辫子群理论的基础性关系,以及回路空间同伦论与置换群模表示论的基础性关系;在应用拓扑方面,将代数拓扑理论应用在大数据等领域并取得了一系列成果。在Journal of American Mathematical Society, Advances in Mathematics等数学顶尖期刊发表学术论文90余篇。2007年获得新加坡国家科学奖。2014年获得国家自然科学基金海外联合基金(杰青B)的资助。