Geometric Structures seminar - Georges Comte - July 28, 2022 - 2:00 pm (Rome Time)

[Miruna - Stefana Sorea]

Dear All,

This is a reminder of today's seminar from the series "Geometric Structures".

Speaker: Georges Comte (Université Savoie Mont-Blanc)

Title: Motivic Vitushkin's invariants

Time: July 28, 2022, 2:00 pm (Rome Time)
Venue: only virtually, on zoom at this link:
https://sissa-it.zoom.us/j/85675591787?pwd=TUo2VXpmcEhOU1paRzBXUWp2MU1odz09
Passcode: geometry

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Abstract:
I will explain how, in a joint work with Immanuel Halupczok (Düsseldorf Univ.), we define in definable nonarchimedean geometry a sequence of invariants which is the counterpart in this context of the sequence of Vituskin's invariants in real geometry. For this we use the theory of t-stratification in its uniform version.
We also define a notion of preorder on the ring of motivic constructible functions, which is compatible with motivic integration. As in the real case, our invariants are related to a notion of metric entropy.


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