Quantitative stability in some classical conformally invariant variational problemsCRC 1720: Early Career Seminar

by Konstantinos Zemas

Tuesday Oct 13, 2026, 2:15 PM → 3:15 PM Europe/Berlin

Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)

In this overview talk we address some recent developments in the quantitative understanding of almost minimizers/approximate critical points in variational problems exhibiting conformal invariance, whose typically non-compact nature leads to several intricate analytical and topological phenomena. We will focus on two prominent such examples, namely (n-) harmonic maps on the (n-) sphere, and the (2-dimensional) parametric problem for H-surfaces.
We will discuss analogies and differences in the two problems, connections with other relevant problems appearing in geometric analysis and mathematical physics, and highlight how the dimension of the space, the choice of norms/deficits and most importantly the topology of solutions influence the rigidity estimates and their optimality. Should time permit, we will also mention some related open questions.