Geometric Structures seminar - Kenshiro Tashiro - December 22, 2022 - 2:00 pm (Rome time) - online

[Miruna - Stefana Sorea]

Dear All,

This is to announce the next seminar from the series "Geometric Structures". Dr. Kenshiro Tashiro is visiting SISSA during this week, giving the following seminar on Thursday:

Speaker: Kenshiro Tashiro (Tohoku University)<https://sites.google.com/view/kenshiro-tashiro-homepage/home>

Title: Systolic inequality and volume of the unit ball in Carnot groups
Time: Thursday, December 22nd, 2022, 2:00 pm (Rome time)
Venue: online
on zoom at this link:
https://sissa-it.zoom.us/j/85675591787?pwd=TUo2VXpmcEhOU1paRzBXUWp2MU1odz09
Passcode: geometry

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Abstract: Roughly speaking, a systolic inequality on a length measure space asserts that the minimal length of non-contractible closed curve is controlled by the product of the (root of) total measure and a constant depending only on its topology. Such inequalities hold for (a class of) Riemannian manifolds and Alexandrov spaces with the constants depending only on the Hausdorff dimension.
We proved the systolic inequality on quotient spaces of Carnot groups, which is a class of closed sub-Riemannian manifolds, with the constant depending only on the Hausdorff dimension. Actually it is equivalent to give a uniform lower bound of volume of the unit ball in Carnot groups of a given Hausdorff dimension.
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More information can be found here: https://sites.google.com/view/geometric-structures/
Everyone is welcome!



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