Mathematisches Seminar

Dr. Lashi Bandera (Universität Göteborg): "Rough metrics, the Katosquare root problem, and the contunuity of a flow tangent to the Ricci flow"

14.01.2016 von 12:30 bis 14:00

LMS 4 - Raum 325 - Seminarhörsaal

Ein Vortrag im Rahmen des Oberseminars Analysis auf Einladung von Prof. Müller.

 

Abstract:

The Kato square root problem, resolved in 2002 by Auscher, Hofmann, Lacey, McIntosh and Tchamitchian, was formulated in terms of a first-order framework by Axelsson, Keith and McIntosh in 2005. This hasallowed for the resolution of this problem on Riemannian manifolds under natural geometric assumptions. Recently, we have defined a class of Riemannian-like metrics called rough metrics that capture geometric invariances of the problem. These metrics  have recently been applied tounderstanding a geometric flow tangential to the Ricci flow for compact manifolds with geometric singularities. In particular, we willdemonstrate how the continuity of solutions to this flow can be obtained via homogeneous Kato square root estimates on compact manifolds.

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