Multiple solutions to the static forward free-boundary Grad-Shafranov problem on MAST-U
Pentland, K
Amorisco, N
Ham, C
Nuclear Fusion
volume 65
issue 8
(01 Aug 2025)
Coboundary expansion and Gromov hyperbolicity
Kielak, D
Nowak, P
Groups, Geometry, and Dynamics
(13 Nov 2025)
High summer in Oxford and the students have gone to be replaced by tourists and generic summer schools. But before they left, we had a chat. Here's the first video, with the guys on the other side of the lectern for a change. And our apologies to Shing Fung whose name is spelt incorrectly in the captions.
Climate variability amplifies the need for vector-borne disease outbreak preparedness
Hart, W
Hurrel, J
Kaye, A
Chand, M
Keeling, M
Thompson, R
Proceedings of the National Academy of Sciences
volume 122
issue 34
(18 Aug 2025)
A new local time-decoupled squared Wasserstein-2 method for training stochastic neural networks to reconstruct uncertain parameters in dynamical systems
Xia, M
Shen, Q
Maini, P
Gaffney, E
Mogliner, A
Neural Networks
volume 193
(05 Aug 2025)
The inhomogeneous $t$-PushTASEP and Macdonald polynomials at $q=1$
Ayyer, A
Martin, J
Williams, L
Annales de l’Institut Henri Poincaré D Combinatorics Physics and their Interactions
(11 Jul 2025)
Bayesian inference for the learning rate in Generalised Bayesian inference
Lee, J
Liu, S
Nicholls, G
(14 Jun 2025)
Mon, 13 Oct 2025
14:15
14:15
L4
Non-maximal Toledo components
Oscar Garcia-Prada
(Instituto de Ciencias Matemáticas (ICMAT))
Abstract
The well-known Milnor-Wood inequality gives a bound on the Toledo invariant of a representation of the fundamental group of a compact surface in a non-compact Lie group of Hermitian type. While a lot is known regarding the counting of maximal Toledo components, and their role in higher Teichmueller theory, the non-maximal case remains elusive. In this talk, I will present a strategy to count the number of such non-maximal Toledo connected components. This is joint work in progress with Brian Collier and Jochen Heinloth, building on previous work with Olivier Biquard, Brian Collier and Domingo Toledo.