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SUMMARY:Valentina Disarlo (Heidelberg)
DTSTART:20240704T130500Z
DTEND:20240704T140000Z
DTSTAMP:20260423T021055Z
UID:GaTO/106
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/106/">T
 he model theory of the curve graph</a>\nby Valentina Disarlo (Heidelberg) 
 as part of Geometry and topology online\n\nLecture held in Room B3.02 in t
 he Zeeman Building\, University of Warwick.\n\nAbstract\nThe curve graph o
 f a surface of finite type is a graph that encodes the combinatorics of is
 otopy classes of simple closed curves. It is a fundamental tool for the st
 udy of the geometric group theory of the mapping class group. In 1987 N.K.
  Ivanov proved that the automorphism group of the curve graph is the exten
 ded mapping class group. In the following decades\, many people proved ana
 logous results for many "similar" graphs\, such as the pants graph\, the a
 rc graph\, and so on. In response to these results\, N.V. Ivanov formulate
 d a meta-conjecture which asserts that any "natural and sufficiently rich"
  object associated to a surface has automorphism group isomorphic to the e
 xtended mapping class group. \n\nWe provide a model theoretical framework 
 for Ivanov’s meta-conjecture and conduct a thorough study of curve graph
 s from the model theoretic point of view\, with particular emphasis in the
  problem of interpretability between different "similar" geometric complex
 es. In particular\, we prove that the curve graph of a surface of finite t
 ype is w-stable. This talk does not assume any prior knowledge in model th
 eory.\n\nThis is joint work with Thomas Koberda (Virginia) and Javier de l
 a Nuez Gonzalez (KIAS).\n
LOCATION:https://researchseminars.org/talk/GaTO/106/
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