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, 26 Jan 2026
14:15
14:15
L4
Minimal surfaces and hypersurfaces in the unit spheres and their index
Nicolaos Kapouleas
(Brown University)
Abstract
I will discuss recent and ongoing work (mostly with J. Zou).
Mon, 09 Feb 2026
14:15
14:15
L4
Biharmonic Maps on Conformally Compact Manifolds
Marco Usula
((Mathematical Institute University of Oxford))
Abstract
In this talk, I will present a result proved in my recent paper arXiv:2502.13580. I will discuss biharmonic maps between (and submanifolds of) conformally compact manifolds, a large class of complete manifolds generalizing hyperbolic space. After an introduction to conformally compact geometry, I will discuss one of the main results of the paper: if S is a properly embedded sub-manifold of a conformally compact manifold (N,h), and moreover S is transverse to the boundary and (N,h) has non-positive curvature, then S must be minimal. This result confirms a conjecture known as the Generalized Chen’s Conjecture, in the conformally compact context.