UCL Colloquium Schedule
Tuesday, 3 October 2023, 4-5pm Location: 25 Gordon St. Room 500
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Speaker: Imre Leader (Cambridge)
Title:
Euclidean Ramsey Theory
Abstract:
Euclidean Ramsey Theory is a natural multidimensional version of Ramsey Theory. A subset of Euclidean space is called Ramsey if, for any k, whenever we partition Euclidean space of sufficiently high dimension into k classes, one class much contain a congruent copy of our subset. It is still unknown which sets are Ramsey. We will discuss background on this and then proceed to some recent results.
February 6, 4-5pm Location: 25 Gordon St. Room 500
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Speaker: Ailsa Keating (Cambridge)
Title: The symplectic topology of singularities
Abstract:
Given an isolated complex singularity, any smoothing (i.e. Milnor fibre) of it is naturally a symplectic manifold. This leads to a rich interplay, first suggested by Arnol’d: on the one hand, ideas from singularity theory yield a wealth of interesting symplectic phenomena; and conversely, symplectic topology is a very fertile viewpoint from which to revisit and shed light on classical singularity theory.
This talk will give a biased introduction to this circle of ideas. Special attention will be given to providing explicit examples, with particular focus on two variable examples (i.e. curve singularities). No prior knowledge of symplectic geometry (or singularity theory) will be assumed.
Tuesday, 12 March 4-5pm Location: Bentham House, 124 Gideon Schreier
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Speaker: Peter Hintz (ETH)
Title:
Perturbations and weak interactions of black holes
Abstract:Following an introduction to general relativity, the Einstein field equations, and an overview of recent results on the stability of black holes, I will discuss work in progress towards the construction of singular perturbations of spacetimes via the insertion of small black holes. This aims to provide the first rigorous examples of spacetimes describing the merger of two black holes with extreme mass ratios.
You'll find the old colloquium schedules
here.