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.
Mon, 09 Feb 2026
16:30 -
17:30
L4
Scattering and Asymptotics for Critically Weakly Hyperbolic and Singular Systems
Arick Shao
(Queen Mary University of London)
Abstract
We study a very general class of first-order linear hyperbolic
systems that both become weakly hyperbolic and contain singular
lower-order coefficients at a single time t = 0. In "critical" weakly
hyperbolic settings, it is well-known that solutions lose a finite
amount of regularity at t = 0. Here, we both improve upon the analysis
in the weakly hyperbolic setting, and we extend this analysis to systems
containing critically singular coefficients, which may also exhibit
modified asymptotics and regularity loss at t = 0.
In particular, we give precise quantifications for (1) the asymptotics
of solutions as t approaches 0, (2) the scattering problem of solving
the system with asymptotic data at t = 0, and (3) the loss of regularity
due to the degeneracies at t = 0. Finally, we discuss a wide range of
applications for these results, including weakly hyperbolic wave
equations (and equations of higher order), as well as equations arising
from relativity and cosmology (e.g. at big bang singularities).
This is joint work with Bolys Sabitbek (Ghent).
Thu, 19 Feb 2026
14:00 -
15:00
Lecture Room 3
Mon, 23 Feb 2026
16:30 -
17:30
L4
Mon, 09 Mar 2026
16:30 -
17:30
L4
TBA
Andre Guerra
(Department of Applied Mathematics and Theoretical Physics University of Cambridge)
Abstract
TBA
Thu, 12 Mar 2026
14:00 -
15:00
Lecture Room 3
Thu, 14 May 2026
14:00 -
15:00
Lecture Room 3
Mon, 18 May 2026
16:30 -
17:30
TBC
Thu, 18 Jun 2026
14:00 -
15:00
Lecture Room 3