Professor Julia Wolf - When is a mathematical object well-behaved? - 17 May 2022
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The Department of Mathematics is hosting a series of colloquia, open for all to attend. On 17 May 2022, Dr Julia Wolf from the University of Cambridge will give a talk on 'When is a mathematical object well-behaved?'.
In this talk we will come at this question from two different angles: first, from the viewpoint of model theory, a subject in which for nearly half a century the notion of stability has played a central role in describing tame behaviour; secondly, from the perspective of combinatorics, where so-called regularity decompositions have enjoyed a similar level of prominence in a range of finitary settings, with remarkable applications including to patterns in the primes.
In recent years, these two fundamental notions have been shown to interact in interesting ways. In particular, it has been shown that mathematical objects that are stable in the model-theoretic sense admit particularly well-behaved regularity decompositions. In this talk we will explore this fruitful interplay in the context of both finite graphs and subsets of abelian groups.
This talk will take place in person at King's College London, and will also be streamed online via Microsoft Teams. Please click 'Register for this event' to sign up for either an In-Person Ticket or an Online Ticket. If you wish to attend the in-person event, you must select the correct ticket type.
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17 May 2022