KolloquiumGRK Non-local coefficients in the heat asymptotics for real powers of Laplacians |  |
Speaker:Cipriana Anghel-Stan, Mathematical Institute of the Romanian Academy (IMAR)
Organizer:Mathematisches Institut
Details:
We prove that some of the heat coefficients in the small-time asymptotic expansion of $e^{-t \Delta^r}$ are non-local, where $r \in (0,1)$, and $\Delta$ is a Laplace-type operator over a compact Riemannian manifold. Furthermore, for $r=1/2$ we give a conceptual interpretation of the heat kernel of $\Delta^r$ on a certain heat space $M_{heat}$. More precisely, $M_{heat}$ is obtained by the standard blow-up of the diagonal at time ${t=0}$ inside $M \times M \times [0, \infty)$.
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Type:Colloquium
Language:English
Category:Research
External link:https://uni-goettingen.zoom.us/j/91336854872
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Direct link to event:https://events.goettingen-campus.de/event?eventId=844685
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