Student Tea@11 is a student-led initiative to revitalise the daily tea, coffee, and biscuit service for everyone. 'Tea' takes place in the Common Room at 11 am. We are looking for student volunteers for this term to form a committee similar to Happy Hour, which would take over the running of the tea service.
Are you a woman working in Artificial Intelligence (AI) at Oxford? We are creating a MPLS campaign to highlight the incredible diversity of people driving AI research, teaching, and innovation across the University.
We are looking to feature a range of voices, roles and experiences — from students and postdocs to professional services staff and academic leaders — working in any area connected to AI.
Ricci curvature and orientability
Abstract
This talk will focus on various definitions of orientability for non-smooth spaces with Ricci curvature bounded from below. The stability of orientability and non-orientability will be discussed. As an application, we will prove the orientability of 4-manifolds with non-negative Ricci curvature and Euclidean volume growth. This work is based on a collaboration with E. Bruè and A. Pigati.
Rigidity in the Ginzburg–Landau equation from S2 to S2
Abstract
The Ginzburg–Landau energy is often used to approximate the Dirichlet energy. As the perturbation parameter tends to zero, critical points of the Ginzburg–Landau energy converge, in an appropriate (bubbling) sense, to harmonic maps. In this talk I will first explain key analytical properties of this approximation procedure, then show that not every harmonic map can be approximated in this way. This is based on a rigidity theorem: under the energy threshold of 8pi, we classify all solutions of the associated nonlinear elliptic system from S2 to S2, thereby identifying exactly which harmonic maps can arise as Ginzburg–Landau limits in this regime.
![An image of the words "mental health" spelled out using scrabble tiles.](/system/files/styles/tile_thumbnail/private/media/images/mental-health-2019924__480.jpg?itok=MptGH_H5 "An image of the words "mental health" spelled out using scrabble tiles.")