The K(\pi,1)-conjecture for 3-dimensional Artin groups-黄播

黄播

研讨班

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The K(\pi,1)-conjecture for 3-dimensional Artin groups

来源： 10-19

时间：Mon., 19:00-20:00, Oct. 20, 2025

地点：Zoom meeting ID: 405 416 0815, PW: 111111

组织者：/

主讲人：Jingyin HUANG

YMSC Topology Seminar

Organizers：陈伟彦、高鸿灏、黄意、林剑锋、邱宇、孙巍峰

Speaker:Jingyin HUANG 黄靖尹

Ohio State University

Time：Mon., 19:00-20:00, Oct. 20, 2025

Online：Zoom meeting ID: 405 416 0815, PW: 111111

Title:The K(\pi,1)-conjecture for 3-dimensional Artin groups

Abstract:The K(pi,1)-conjecture, due to Arnold, Brieskorn, Pham, and Thom, predicts that for each Artin group, the space of regular orbits of a canonical action of the associated Coxeter group is a classifying space for this Artin group. We sketch a proof of the K(pi,1)-conjecture for all 3-dimensional Artin groups, which is based on a new notion of combinatorial non-positive curvature. We will explain how such combinatorial non-positive curvature can be used to prove asphericity of spaces. This is joint work with Piotr Przytycki.

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