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TZID:Europe/Vienna
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DTSTART:20170326T030000
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DTSTART:20171029T020000
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DTSTAMP:20260427T140728Z
UID:592c831db89a4049511539@ist.ac.at
DTSTART:20170601T144500
DTEND:20170601T164500
DESCRIPTION:Speaker: Kristof Huszar\nhosted by Tamas Hausel\nAbstract: Expa
 nder graphs have been in the focus of mathematicians and computer scientis
 ts since the end of the 1960s. Recently\, there has been a growing interes
 t in generalizations of expansion for higher dimensional complexes.\nFirst
 \, we briefly review expander graphs\, and then we introduce a particular 
 generalization called coboundary expansion which arose independently in tw
 o very different contexts: on one hand\, in the work of Linial and Meshula
 m on the homological connectivity of random simplicial complexes\, and on 
 the other hand\, in Gromov's work where it was shown that coboundary expan
 sion implies the so-called topological overlap property. We will elaborate
  on these results.\nIn the last part of the talk\, we discuss an extension
  of Gromov's theorem by Dotterrer\, Kaufman\, and Wagner and present its a
 pplication to Ramanujan complexes due to Kaufman\, Kazhdan\, and Lubotzky.
LOCATION:Mondi Seminar Room 2\, Central Building\, ISTA
ORGANIZER:khuszar@ist.ac.at
SUMMARY:Kristof Huszar: Introduction to High-Dimensional Expansion
URL:https://talks-calendar.ista.ac.at/events/642
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