13:00
The Penrose Inequality: An Application of Geometric PDEs to Physics
Abstract
In this talk, I will discuss a conjecture of Penrose, which asserts a lower bound on the mass of a spacetime in terms of the area of a suitable horizon. Whilst Penrose presented a physical motivation for this inequality in the 1970s, the only proofs heavily rely upon PDE arguments, and in particular the use of geometric flows. I hope to show in this talk, through this concrete example (and without unpleasant technical details!), how ideas from geometric PDE theory can be helpful in obtaining results in physics.
n-ampleness and pseudobuildings
Abstract
Translation varieties
Abstract
In algebraic geometry, the technique of dévissage reduces many questions to the case of curves. In difference and differential algebra, this is not the case, but the obstructions can be closely analysed. In difference algebra, they are difference varieties defined by equations of the form $\si(x)=g x$, determined by an action of an algebraic group and an element g of this group. This is joint work with Zoé Chatzidakis.

An open invitation from G-Research to join them for their Oxford Pub Quiz. You can register here or via the QR code.
Date: Wednesday 12th February
Time: 18:00 - 20:00


Prof. Tanniemola Liverpool will be giving a lecture on the Mathematics of Wound Healing on Wednesday 19 February at 5pm.
The Department of Mathematical Sciences at Chalmers University of Technology and the University of Gothenburg are looking for PhD students.
Sunday 9th March (Week 8), 15:45-18:00, Iffley Road Sports Centre