Geometric Structures seminar - Kenshiro Tashiro - January 19, 2023 - 2:00 pm (Rome time) - online only

[Miruna-Stefana Sorea]

Dear All,

This is to announce the next seminar from the series "Geometric Structures
".

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, January 19th, 2023, 2:00 pm (Rome time)
Venue: online only
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/
<https://sites.google.com/view/mirunastefanasorea/>*