Thu, 28 Nov 2024
17:00
L4

The Index of Constant Mean Curvature Surfaces in Three-Manifolds

Luca Seemungal
(University of Leeds)
Abstract
Constant mean curvature (CMC) surfaces are special geometric variational objects, closely related to minimal surfaces. The key properties of a CMC surface are its area, mean curvature, genus, and index. The index of a CMC surface measures its stability: the index counts how many ways one can perturb the surface to decrease the area while keeping the enclosed volume constant. In this talk we discuss relationships between these key properties. In particular we present recent joint work with Ben Sharp, where we bound the index of CMC surfaces linearly from above by genus and the correct scale-invariant quantity involving mean curvature and area.

 
Construction of eigenvarieties
 Newton, J Non-Archimedean Geometry and Eigenvarieties 267-304 (03 Dec 2024)

Christmas Lunch in Café π

Join us on Tuesday, 3 December, from 12 to 2 pm. To book, simply speak to our café staff or email us at @email  

You can also use your cost centre vouchers for all bookings.

Jane Street Graduate Research Fellowship

Applications for the 2025 Jane Street Graduate Research Fellowship (GRF) are now open. The Fellowship supports exceptional doctoral students currently pursuing a PhD in computer science, mathematics, physics, or statistics. 

Find out more (applications have closed, but we have asked them to take late requests).

Mon, 10 Feb 2025
14:15
L5

The Schubert variety of a hyperplane arrangement

Nick Proudfoot
(University of Oregon)
Abstract

I’ll tell you about some of my favorite algebraic varieties, which are beautiful in their own right, and also have some dramatic applications to algebraic combinatorics.  These include the top-heavy conjecture (one of the results for which June Huh was awarded the Fields Medal), as well as non-negativity of Kazhdan—Lusztig polynomials of matroids.

Castalian String Quartet

Castalian String Quartet

The Cultural Programme in association with the Faculty of Music, University of Oxford, bring the Castalian String Quartet’s incredible performances to Oxford through a series of chamber concerts and pre-show talks in the Holywell Music Room. 

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