Mathematical Institute

Fri, 28 Feb 2025
12:00

Extreme horizons and Hitchin equations

Maciej Dunajski

(Cambridge)

Abstract

We establish the rigidity theorem for black hole extremal horizons, and prove that their compact cross-sections must admit a Killing vector field. The intrinsic Riemannian geometry of extremal horizons admits a quasi-Einstein structure. We shall discuss another class of such structures corresponding to projective metrizability, where global results can be obtained. In this case the quasi-Einstein structure is governed by the Hitchin equations.

Week 5 Bulletin

It's the week 5 student bulletin!

Public Lecture: Can we truly understand by counting?

Hugo Duminil-Copin's recent Public Lecture is now available to watch on YouTube:

Founding Head of The 1729 Maths School (located in Mill Hill, London NW7)

This may look an odd one to target early career researchers, but on checking they explicitly want applications from ECRs and postgraduate students (and others). The funding is from XTX Markets who fund us here in Oxford Mathematics.

Diversity and Decolonisation in Mathematics Conference

Conference poster The Diversity and Decolonisation in Mathematics Conference is taking place at the Warwick Maths Institute on 24-25 April 2025
Registration is open until 28 March

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Our probability group comprises:

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GSK is building a new team in their AI R&D department, lead by a fellow Oxford MMath alumnus. Join us in the very fast-growing space of pharmaceutical finance and answer important questions like “How can we optimise our capital allocation for the development of essential medicines and vaccines? What level of risk can we afford to take given our budget? What can historical data tell us about the uncertainty in clinical trial outcomes?”

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A group of students studying A reminder that prelims corner is taking place every Monday at 11am in the South Mezzanine!

Fridays@2

Mathematics Institute Fridays@2 continues in L1 this week with: Where does collaborating end and plagiarising begin? (https://www.maths.ox.ac.uk/node/70563)

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