Please note that the list below only shows forthcoming events, which may not include regular events that have not yet been entered for the forthcoming term. Please see the past events page for a list of all seminar series that the department has on offer.

Past events in this series

Mon, 10 Oct 2022
14:15
L5

Quantitative estimates for almost harmonic maps

Melanie Rupflin
(Oxford University)
Abstract

For geometric variational problems one often only has weak, rather than strong, compactness results and hence has to deal with the problem that sequences of (almost) critical points $u_j$ can converge to a limiting object with different topology.

A major challenge posed by such singular behaviour is that the seminal results of Simon on Lojasiewicz inequalities, which are one of the most powerful tools in the analysis of the energy spectrum of analytic energies and the corresponding gradient flows, are not applicable.

In this talk we present a method that allows us to prove Lojasiewicz inequalities in the singular setting of almost harmonic maps that converge to a simple bubble tree and explain how these results allow us to draw new conclusions about the energy spectrum of harmonic maps and the convergence of harmonic map flow for low energy maps from surfaces of positive genus into general analytic manifolds.

Mon, 17 Oct 2022
14:15
L5

TBA

Emmanuel Breuillard
((Oxford University))
Mon, 24 Oct 2022
14:15
L5

TBA

Nathaniel Sagman
(University of Luxembourg)
Mon, 31 Oct 2022
14:15
L5

TBA

Max Stolarski
(University of Warwick)
Mon, 07 Nov 2022
14:15
L5

TBA

Chenjing Bu
((Oxford University))
Abstract

TBA

Mon, 14 Nov 2022
14:15
L5

TBA

Sergej Monavari
(École Polytechnique Fédérale de Lausanne (EPFL))
Abstract

TBA

Mon, 21 Nov 2022
14:15
L5

TBA

Tommaso Maria Botta
(ETH Zurich)
Abstract

TBA