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.