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SUMMARY:When is a Mathematical Object Well-Behaved?
DTSTART:20231213T161500
DTEND:20231213T171500
DTSTAMP:20260505T114432Z
UID:ec33f930cc89265e4cc779f58a43055758bac127e9173e4c59e675b4
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Julia Wolf\, University of Cambridge\nCollquium in Mathe
 matics\nRegistration requested: https://forms.gle/C1hzHfSHWnYDRakM9\n\nAbs
 tract: In this talk we will come at this question from two different angl
 es: first\, from the viewpoint of model theory\, a subject in which for ne
 arly half a century the notion of stability has played a central role in d
 escribing tame behaviour\; secondly\, from the perspective of combinatoric
 s\, where so-called regularity decompositions have enjoyed a similar level
  of prominence in a range of finitary settings\, with remarkable applicati
 ons.\nIn recent years\, these two fundamental notions have been shown to i
 nteract in interesting ways. In particular\, it has been shown that mathem
 atical objects that are stable in the model-theoretic sense admit particul
 arly well-behaved regularity decompositions. In this talk we will explore 
 this fruitful interplay in the context of both finite graphs and subsets o
 f abelian groups.\nTo the extent that time permits\, I will go on to descr
 ibe recent joint work with Caroline Terry (The Ohio State University)\, in
  which we develop a higher-arity generalisation of stability that implies 
 (and in some cases characterises) the existence of particularly pleasant h
 igher-order regularity decompositions.\n\n 
LOCATION:GA 3 31 https://plan.epfl.ch/?room==GA%203%2031
STATUS:CONFIRMED
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