[PHK_seminar] [Cohomology]Wednesday 16 Oct, Michal Doucha]

[Petr Somberg]

 This is just the remainder of our seminar starting soon.

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     Cohomology in algebra, geometry, physics and statistics




         Wednesday, 16 October 2024 - 13:30 to 14:30

         Place: Institute of Mathematics of ASCR, Žitná 25, Praha 1,
KONIRKA in the front building  + ZOOM meeting




         Speaker: Michal Doucha, Institute of Mathematics of ASCR

         Title: Shadowing of actions of hyperbolic groups on their boundaries



         Abstract


I will give a quick introduction to general Gromov hyperbolic metric
spaces, in particular hyperbolic groups, and their boundaries. A very
useful way of studying hyperbolic groups is via their canonical actions on
their boundaries. I will discuss a very recent result of K. Mann et al
that such actions are topologically stable (although this was apparently
hinted by Gromov in his paper on hyperbolic groups from 1987) and present
my result that these actions in fact have the so-called shadowing (a.k.a.
pseudo-orbit tracing) property, which implies the topological stablity as
a corollary.
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We shall open the seminar room + ZOOM at 13.15 for coffee and close the
room at 15:00


Join Zoom Meeting


https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRU9


MeetingID:99598413922
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          For more information see the seminar web page at

          https://www.math.cas.cz/index.php/events/seminar/16




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