Noncommutative Geometry Seminar

Date: March 28, 2024

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Liang Guo, East China Normal University

Title: Hilbert-Hadamard spaces and the equivariant coarse Novikov conjecture

Abstract: The equivariant coarse Novikov conjecture synthesizes all the Novikov-type conjectures, including the strong Novikov conjecture for groups and the coarse Novikov conjecture for metric spaces. In a recent work of Sherry Gong, Jianchao Wu, and Guoliang Yu, a notion of Hilbert-Hadamard space is introduced to study the Novikov conjecture for specific groups. To generalize their idea to the equivariant coarse Novikov conjecture, in this talk, we will study the equivariant coarse Novikov conjecture for a dynamic system which admits an equivariant coarse embedding into an admissible Hilbert-Hadamard space. This is joint work with Qin Wang, Jianchao Wu, and Guoliang Yu.