SMS scnews item created by James Morgan at Thu 5 Oct 2023 1516
Type: Seminar
Distribution: World
Expiry: 14 Dec 2023
Calendar1: 9 Oct 2023 1500-1600
CalLoc1: Carslaw 535A
Auth: jmorgan@pjmorgan.pc.maths.usyd.edu.au

Geometry & Topology: Hosea Wondo -- The Topology of the Kahler-Ricci Flow

Monday 09 October 2023, 15:00-16:00, Carslaw 535

Speaker: Hosea Wondo (Sydney)

Title: The Topology of the Kahler-Ricci Flow

Abstract: The Kahler-Ricci flow has proven to be a powerful tool in the study of Kahler 
structures. It deforms arbitrary metrics to canonical ones, thus providing a method to 
construct canonical metrics.  It also provides information regarding the underlying 
topology of the manifold itself. This second point highlights the fascinating link 
between the topology of the manifolds and the solutions to the flow. In this talk, we 
will discuss some results that highlights the influence of topology on analytic 
quantities of the flow such as curvature, diameter and extinction time.