Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	陈绿洲博士，Purdue University
Inviter:
Title:	Topological optimization and the stable commutator length
Language:	Chinese
Time & Venue:	2023.03.03 09:00-10:00 Zoom会议：876 1256 8518 密码：20230303
Abstract:	It is a relatively recent discovery in geometric topology that optimization problems of certain topological complexity are connected to important geometric and topological information. One example is the Gromov-Thurstonnorm, which is the minimal complexity of surfaces representing a given second homology class, and it is closely related to fibrations of 3-manifolds as surface bundles. This is an introductory talk on a relative version of the Gromov-Thurston norm called the stable commutator length (scl), which is the minimal complexity of surfaces bounding a given loop. I will explain its computation and sharp lower bounds in relation tolinear programming, as well as its close relation to various problems in topology and group theory.