Some results in non-simply connected rational homotopy theory

报告人： Jiawei Zhou (BIMSA)
Time & Date: 16:00 pm, April 1
地点： 1610
Host: 韩肖垄

摘要： Certain statements that are straightforward in simply connected rational homotopy theory become surprisingly subtle for the non-simply connected case and remain open problems. In this talk I will address two such questions: first, proving that minimal Sullivan model realizations still preserve rational cohomology in the non-simply connected setting; second, establishing an upper bound for the Lusternik-Schnirelmann category of a relative Sullivan algebra in terms of the LS categories of its base algebra and fiber algebra.

About the speaker: Jiawei Zhou is currently a postdoctoral researcher at the Beijing Institute of Mathematical Sciences and Applications (BIMSA). He graduated from the University of California, Irvine, and will join Nanchang University after completing his postdoctoral position. His current research focuses on rational homotopy theory, particularly in the non-simply connected case. One of his papers received the Yeuk-Lam Paper Award in 2022.