Department of Mathematics - Master Calendar

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Geometric Analysis Seminar

Event Type
Seminar/Symposium
Sponsor
Department of Mathematics
Location
Transportation Building 203
Virtual
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Date
Feb 18, 2025   3:30 pm  
Speaker
Eric Chen (Illinois)
Contact
Pierre Albin, Eric Chen, Pei-Ken Hung, Gabriele La Nave
E-Mail
palbin@illinois.edu, ecchen@illinois.edu, pkhung@illinois.edu, lanave@illinois.edu
Views
13
Originating Calendar
Geometric Analysis Seminars

Title: The Yamabe flow on asymptotically Euclidean manifolds

Abstract: Introduced by Hamilton in 1988, the Yamabe flow on a compact manifold is now known to converge in most cases to a metric of constant scalar curvature. I will describe joint work with Gilles Carron and Yi Wang in which we prove that the Yamabe flow on an asymptotically Euclidean manifold converges to a scalar-flat metric if and only if the initial metric has Yamabe constant Y>0, and characterize the infinite-time behavior of the flow in the remaining cases when Y≤0.

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