Monday, January 21, 2019 - 10:00 in V2-210/216
Geometric properties of Dirichlet forms under order isomorphisms
A talk in the Oberseminar Analysis series by
Daniel Lenz
| Abstract: |
We study pairs of Dirichlet forms related by an intertwining order isomorphisms between the underlying L2-spaces. We consider the measurable, the topological and the geometric setting respectively. Our results can be understood as saying that diffusion always determines the Hilbert space, and -- under natural compatibility assumptions -- the topology and the geometry respectively. For domains in Euclidean space corresponding results were obtained by Arendt and for manifolds by Arendt / Biegert / ter Elst. The talk will focus on introducing the topic and treating on the case of graphs. (Joint work with Matthias Keller, Marcel Schmidt and Melchior Wirth.)
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