Wed, 15 May 2024

16:00 - 17:00
L6

TBA

Naomi Andrew
(University of Oxford)
Wed, 01 May 2024

16:00 - 17:00
L6

TBA

Sam Fisher
(University of Oxford)
Wed, 22 May 2024

16:00 - 17:00
L6

TBA

Sam Hughes
(University of Oxford)
Neuronal activity induces symmetry breaking in neurodegenerative disease spreading
Goriely, A Alexandersen, C Bick, C Journal of Mathematical Biology
Thu, 02 May 2024

17:00 - 18:00
L4

Cohomogeneity one Ricci solitons and Hamiltonian formalism

Qiu Shi Wang
( Oxford)
Abstract
A Riemannian manifold is said to be of cohomogeneity one if there is a Lie group acting on it by isometries with principal orbits of codimension one. On such manifolds, the Ricci soliton equation simplifies to a system of ODEs, which can be considered as a Hamiltonian system. Various conserved quantities, such as superpotentials, can then be defined to find cases in which the system is explicitly integrable.

There is a considerable body of work, primarily due to A. Dancer and M. Wang, on the analogous procedure for the Einstein equation.

In this talk, I will introduce the abovementioned methods and illustrate with examples their usefulness in finding explicit formulae for Ricci solitons. I will also discuss the classification of superpotentials.


 

Skip downstairs and you'll get 50% off all homemade 'grab and go' items (baguettes, ciabattas, salad bar, bagels) after 3pm. 

Publisher Correction: Semaphorin 3A causes immune suppression by inducing cytoskeletal paralysis in tumour-specific CD8+ T cells.
Barnkob, M Michaels, Y André, V Macklin, P Gileadi, U Valvo, S Rei, M Kulicke, C Chen, J Jain, V Woodcock, V Colin-York, H Hadjinicolaou, A Kong, Y Mayya, V Mazet, J Mead, G Bull, J Rijal, P Pugh, C Townsend, A Gérard, A Olsen, L Fritzsche, M Fulga, T Dustin, M Jones, E Cerundolo, V Nat Commun volume 15 issue 1 3448- (24 Apr 2024) https://www.ncbi.nlm.nih.gov/pubmed/38658563
Cut-and-paste for impulsive gravitational waves with $$\Lambda $$: the mathematical analysis
Sämann, C Schinnerl, B Steinbauer, R Švarc, R Letters in Mathematical Physics volume 114 issue 2 (24 Apr 2024)
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