Geometry/Physics Seminar

Title: Applications of persistent homology in symplectic and Riemannian geometry
Speaker: Jun Zhang
Speaker Info: Tel Aviv University
Brief Description:
Special Note: Pre-talk at 1:00pm

Abstract: In this talk, I will start from a brief introduction of persistent homology and its related formulations from the perspective of symplectic geometry, especially in various forms of Floer theory. Then I will quickly demonstrate via several examples how persistent homology is used in symplectic geometry, for instance in solving some (Hamiltonian) dynamical problems. Finally, I will focus on a recent work (joint with V. Stojisavljevic) on an application in Riemannian geometry - quantitatively comparing Riemannian metrics, which is based on a newly developed concept called symplectic Banach-Mazur distance.

Date: Tuesday, September 26, 2017
Time: 4:00pm
Where: Lunt 107
Contact Person: Boris Tsygan
Contact email: btsygan7@gmail.com
Contact Phone: 847 644 3317
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