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SUMMARY:When is a mathematical object well behaved? - Julia Wolf (Cambridg
 e)
DTSTART:20240425T150000Z
DTEND:20240425T160000Z
UID:TALK210037@talks.cam.ac.uk
CONTACT:HoD Secretary\, DPMMS
DESCRIPTION:In this talk we will come at the question in the title from tw
 o different angles: first\, from the vantage point of model theory\, a bra
 nch of logic in which for over half a century the notion of “stability" 
 has played a central role in describing tame behaviour\; secondly\, from t
 he perspective of combinatorics\, where so-called regularity decomposition
 s have enjoyed a similar level of prominence in a range of finitary settin
 gs\, with remarkable applications in additive number theory and theoretica
 l computer science.\n\nIn recent years\, these two fundamental motifs have
  been shown to interact in interesting ways. I will describe some of these
  developments\, and explain how higher-order generalisations of regularity
  are pointing the way towards a long-sought generalisation of stability\, 
 opening up a new dimension of the model-theoretic classification picture.\
 n\nThis talk aims to be accessible to a broad mathematical audience.\n\nA 
 wine reception in the central core will follow the lecture.
LOCATION:CMS MR2
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