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CATEGORIES:DPMMS Departmental Colloquia
SUMMARY:When is a mathematical object well behaved? - Juli
a Wolf (Cambridge)
DTSTART;TZID=Europe/London:20240425T160000
DTEND;TZID=Europe/London:20240425T170000
UID:TALK210037AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/210037
DESCRIPTION:In this talk we will come at the question in the t
itle from two different angles: first\, from the v
antage point of model theory\, a branch of logic i
n which for over half a century the notion of “sta
bility" has played a central role in describing ta
me behaviour\; secondly\, from the perspective of
combinatorics\, where so-called regularity decompo
sitions have enjoyed a similar level of prominence
in a range of finitary settings\, with remarkable
applications in additive number theory and theore
tical computer science.\n\nIn recent years\, these
two fundamental motifs have been shown to interac
t in interesting ways. I will describe some of the
se developments\, and explain how higher-order gen
eralisations of regularity are pointing the way to
wards a long-sought generalisation of stability\,
opening up a new dimension of the model-theoretic
classification picture.\n\nThis talk aims to be ac
cessible to a broad mathematical audience.\n\nA wi
ne reception in the central core will follow the l
ecture.
LOCATION:CMS MR2
CONTACT:HoD Secretary\, DPMMS
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