When is a mathematical object well behaved?

Add to your list(s) Download to your calendar using vCal

• Julia Wolf (Cambridge)
• Thursday 25 April 2024, 16:00-17:00
• CMS MR2.

If you have a question about this talk, please contact HoD Secretary, DPMMS.

In this talk we will come at the question in the title from two different angles: first, from the vantage point of model theory, a branch of logic in which for over 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 in additive number theory and theoretical computer science.

In 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.

This talk aims to be accessible to a broad mathematical audience.

A wine reception in the central core will follow the lecture.

This talk is part of the DPMMS Departmental Colloquia series.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• CMS MR2
• Cambridge talks
• DPMMS Departmental Colloquia
• DPMMS Lists
• DPMMS Pure Maths study groups
• DPMMS info aggregator
• DPMMS lists
• Department of Computer Science and Technology talks and seminars
• Hanchen DaDaDash
• Interested Talks
• School of Physical Sciences
• School of Technology
• Trust & Technology Initiative - interesting events
• bld31
• ml@cl-math

Note that ex-directory lists are not shown.