Geometric Structures seminar - Tomasso Rossi - May 19, 2023 - 11:00 am (Rome time)

[Miruna-Ştefana Sorea]

Dear All,

This is to remind you of today's seminar from the series "Geometric Structures".

Speaker: Tomasso Rossi (Institut für Angewandte Mathematik, Universität Bonn)<https://sites.google.com/view/tommasorossi/home-page?authuser=0>

Title:  First-order heat content asymptotics on RCD(K,N) spaces
Time: Friday, May 19th, 2023, 11:00 am (Rome time)
Venue: both in-presence in room 134 at SISSA and streamed on Zoom
on zoom at this link:
https://sissa-it.zoom.us/j/85675591787?pwd=TUo2VXpmcEhOU1paRzBXUWp2MU1odz09
Passcode: geometry

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Abstract:  We study the small-time asymptotics of the heat content associated with a bounded open set when the ambient space is an RCD(K,N) metric measure space. By adapting a technique due to Savo, we establish the existence of a first-order asymptotic expansion, under a regularity condition for the boundary of the domain that we call measured interior geodesic condition. We carefully study such a condition, relating it to the properties of the disintegration associated with the signed distance function from the boundary. This is a joint work with Emanuele Caputo.
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More information can be found here: https://sites.google.com/view/geometric-structures/
Everyone is welcome!


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Dr. Miruna-Stefana Sorea
Postdoctoral Researcher
Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste, Italy
https://sites.google.com/view/mirunastefanasorea/