аĿª½±

аĿª½±Midlands Regional Meeting and Workshop 2024

The lectures are aimed at a general mathematical audience. All interested, both аĿª½±members and non-members, are most welcome to attend this event. 

The Regional Meeting will be held on 2 April 2024 and the Regional Workshop runs from 3-5 April 2024.

 Organised in partnership with the Clay Mathematics Institute.

Programme

Tuesday 2 April 2024, 13:15-18:30
аĿª½±Midlands Regional Society Meeting
Room U020, Brockington Building, Loughborough University, Loughborough

Speakers are:

• Jonathan Bennett (University of Birmingham)
• Oana Ivanovici (Sorbonne Université)
• Christopher Sogge (Johns Hopkins University)

13:15-13:30 - Opening of the аĿª½±Meeting
13:30-14:30 - Jonathan Bennett (University of Birmingham)
14:30-14:45 - Break
14:45-15:45 - Oana Ivanovici (Sorbonne Université)
15:45-16:15 - Tea
16:15-17:15 - Christopher Sogge (Johns Hopkins University)
17:15-18:30 - Reception

Titles and abstracts:

Jonathan Bennett (University of Birmingham)
The Brascamp–Lieb inequalities and their adjoints

The Brascamp–Lieb inequalities are a generalisation of a range of important classical inequalities in mathematics.
They include some very familiar inequalities, such as the Cauchy–Schwarz, Holder, and Young
convolution inequalities. In addition to having a rich mathematical structure, the theory developed since
their introduction in the 1970s has had far-reaching applications, from harmonic analysis to information
theory, partial differential equations, number theory, combinatorial geometry, and even theoretical
computer science. In this talk we give an introduction to the Brascamp–Lieb inequalities, and present
a recent adjoint formulation that has found some unexpected applications to the theory of tomographic
transforms (such as the X-ray and Radon transforms). These recent developments are joint work with
Terence Tao.

Oana Ivanovici (Sorbonne Université)
Geometry and analysis for waves on domains

Christopher D. Sogge (Johns Hopkins University)
Curvature and harmonic analysis on compact manifolds

We shall explore the role that curvature plays in harmonic analysis on compact manifolds. We shall focus
on estimates that measure the concentration of eigenfunctions. Using them we can affirm the
classical Bohr correspondence principle and obtain a new classification of compact space forms in terms
of the growth rates of various norms of (approximate) eigenfunctions.

This is joint work with Xiaoqi Huang following earlier work with Matthew Blair.

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Wednesday 3 - Friday 5 April 2024
аĿª½±Midlands Regional Workshop
Room SCH101, Schofield Building, Loughborough University, Loughborough

Title: Harmonic Analysis on manifolds

Speakers:

• Veronique Fischer (University of Bath)
• Jeffrey Galkowski (University College London)
• Daniel Grieser (Universität Oldenburg)
• Jonathan Hickman (University of Edinburgh)
• Simon Myerson (University of Warwick)
• Anke Pohl (Universität Bremen)
• Jan Rozendaal (Polish Academy of Sciences)
• Melissa Tacy (University of Auckland)

Timings:

Accessibility

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Registration

It is not necessary to register to attend the Regional Meeting but registration to attend the workshop is required.

Travel Funding for Research Students and аĿª½±Members

There are funds available to contribute in part to the expenses of members of the London Mathematical Society or research students registered at UK universities to attend the meeting and workshop. Requests for support, including an estimate of expenses, as well as all queries about the two events may be addressed to one of the organisers.