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<title>Cohomology in algebra, geometry, physics and statistics</title>
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Wednesday, 16 October 2024 - 13:30 to 14:30 <br />
Place: Institute of Mathematics of ASCR, Žitná 25, Praha 1, KONIRKA in the front building + ZOOM meeting
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Speaker: Michal Doucha, Institute of Mathematics of ASCR<br />
Title: Shadowing of actions of hyperbolic groups on their boundaries
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Abstract <br />
<p><span style="color: rgb(0, 0, 0); background-color: rgb(255, 255, 255);" class="ql-font-monospace">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.</span></p><p class="ql-align-justify"><span style="color: rgb(0, 0, 0); background-color: rgb(255, 255, 255);" class="ql-font-monospace">-----------------------------------------------------------------------------------------------</span></p><p class="ql-align-justify"><span style="background-color: rgb(246, 246, 246); color: rgb(0, 0, 255);">We shall open the seminar room + ZOOM at 13.15 for coffee and close the room at 15:00</span></p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><span style="background-color: rgb(246, 246, 246); color: rgb(0, 0, 255);">Join Zoom Meeting</span></p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><a href="https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09" rel="noopener noreferrer" target="_blank" style="color: rgb(0, 0, 204); background-color: rgb(255, 255, 255);">https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRU</a>9</p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><span style="background-color: rgb(246, 246, 246); color: rgb(0, 0, 255);">MeetingID:99598413922</span></p><p class="ql-align-justify"><span style="color: rgb(0, 0, 255); background-color: rgb(246, 246, 246);">Passcode:Galois</span></p><p><br></p><p><br></p>
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For more information see the seminar web page at <br />
https://www.math.cas.cz/index.php/events/seminar/16
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Cohomology in algebra, geometry, physics and statistics mailing list <br />
phk_seminar@math.cas.cz <br />
https://list.math.cas.cz/listinfo/phk_seminar@math.cas.cz
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