Báo cáo đã qua・Học kỳ 1, năm học 2018–2019
201812/27T5 Báo cáo

DEHN FUNCTIONS OF SUBGROUPS OF RIGHT-ANGLED ARTIN GROUPS

張育展先生Louisiana State University 下午 3:30–5:00 Tòa nhà Hồng Kinh 107 室
Abstract: Dehn function, motivated by the isoperimetric function in Riemannian geometry, is a tool to study finitely presented groups. Dehn functions can detect various properties of groups, in particular, they provide upper bounds on the complexity of the word problem for finitely presented groups. In this talk, I will give a survey on Dehn functions and discuss some classical results. Then I will focus on my currnet work about the Dehn functions of subgroups of right-angled Artin groups, especially on Bestvina-Brady groups. This talk is accessible to graduate students.