Monday, January 29, 2024 - 10:15 in V2-210
Asymptotic behavior of the heat semigroup on Riemannian manifolds
A talk in the Oberseminar Geometric Analysis series by
Hong-Wei Zhang from Paderborn
| Abstract: |
In the Euclidean setting, the solution to the heat equation, given integrable initial data, asymptotically aligns with the product of the heat kernel and the initial data's mass. When dealing with more general Riemannian manifolds, analogous heat asymptotics are affected by the underlying geometry. In this talk, we will give an overview of recent developments on this topic. We will see that such long-term convergence results hold for some positively curved manifolds but fail for some negatively curved manifolds, unless one adds additional assumptions to the initial data. Joint works with Jean-Philippe Anker (Orléans), Alexander Grigor’yan (Bielefeld), and Effie Papageorgiou (Paderborn).
Within the CRC this talk is associated to the project(s): A3 |
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