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

[Antonio Lerario]

Dear All,

this is just an update on this seminar, which will be both online (at the
link previously sent) and in person, in room 133.

Best,
A.

Il giorno mar 20 dic 2022 alle ore 13:12 Miruna - Stefana Sorea <
msorea at sissa.it> ha scritto:

> 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
>
> ----
> 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.
> ----
>
> More information can be found here: https://sites.google.com/view/
> geometric-structures/
> Everyone is welcome!
>
>
>
> ----
> *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/>*
>
>
>

-- 
*http://people.sissa.it/~lerario <http://people.sissa.it/~lerario>*