Zigzag persistence for coral reef resilience using a stochastic spatial model.
McDonald, R
Neuhausler, R
Robinson, M
Larsen, L
Harrington, H
Bruna, M
Journal of the Royal Society, Interface
volume 20
issue 205
20230280-20230280
(23 Aug 2023)
doi:10.1098/rsif.2023.0280
Drug Discovery under Covariate Shift with Domain-Informed Prior Distributions over Functions
Klarner, L
Rudner, T
Reutlinger, M
Schindler, T
Morris, G
Deane, C
Teh, Y
(14 Jul 2023)
doi:10.48550/arxiv.2307.15073
Linking discrete and continuous models of cell birth and migration
Martinson, W
Volkening, A
Schmidtchen, M
Venkataraman, C
Carrillo, J
Royal Society Open Science
http://arxiv.org/abs/2308.16093v3
Linking discrete and continuous models of cell birth and migration
Martinson, W
Volkening, A
Schmidtchen, M
Venkataraman, C
Carrillo, J
Royal Society Open Science
http://arxiv.org/abs/2308.16093v3
How does the chromatic number of a random graph vary?
Heckel, A
Riordan, O
(25 Mar 2021)
https://arxiv.org/abs/2103.14014v3
FaceTouch: Detecting hand-to-face touch with supervised contrastive learning to assist in tracing infectious disease
Ibrahim, M
Lyons, T
(24 Aug 2023)
doi:10.48550/arxiv.2308.12840
Hypercontractivity for global functions and sharp thresholds
Keevash, P
Lifshitz, N
Long, E
Minzer, D
Journal of the American Mathematical Society
volume 37
issue 1
245-279
(18 Jul 2023)
doi:10.1090/jams/1027
Turing instabilities are not enough to ensure pattern formation
Krause, A
Gaffney, E
Jewell, T
Klika, V
Walker, B
(29 Aug 2023)
doi:10.48550/arxiv.2308.15311
Anti-Hertz bulging of actuated liquid crystal elastomers
Mihai, L
Gablier, A
Terentjev, E
Goriely, A
Extreme Mechanics Letters
volume 64
102066
(Nov 2023)
doi:10.1016/j.eml.2023.102066
Mon, 30 Oct 2023
14:15
14:15
L4
Existence of harmonic maps in higher dimensions
Mikhail Karpukhin
(University College London)
Abstract
Harmonic maps from surfaces to other manifolds is a fundamental object of geometric analysis with many applications, for example to minimal surfaces. In particular, there are many available methods of constructing them such, such as using complex geometry, min-max methods or flow techniques. By contrast, much less is known for harmonic maps from higher dimensional manifolds. In the present talk I will explain the role of dimension in this problem and outline the recent joint work with D. Stern, where we provide a min-max construction for higher-dimensional harmonic maps. If time permits, an application to eigenvalue optimisation problems will be discussed. Based on joint work with D. Stern.