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.
报告人简介：Stavros Garoufalidis, 南方科技大学讲席教授。先后在麻省理工学院、布朗大学、哈佛大学、布兰迪斯大学、佐治亚理工学院等多所高校任职，也曾任西蒙斯基金会会士和马克斯·普朗克数学研究所外部科学会员。他的研究方向为低维拓扑、几何与数学物理，曾在Journal of the AMS、Inventiones Mathematicae、Proceedings of the National Academy of Sciences of the USA（PNAS）等期刊发表多篇论文，曾获得斯隆青年学者论文奖、约翰·西蒙·古根海姆奖、美国数学学会百年纪念成就奖等荣誉。
