3 citations · 10 across the 13 of their papers we have counts for
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Harmonic maps in singular geometry and rigidity
Georgios Daskalopoulos, Chikako Mese
This survey reviews results on harmonic maps into spaces of non-positive curvature, with a focus on targets that lack smooth structure. More precisely, we consider targets that are…
Harmonic Maps into Euclidean Buildings and Non-Archimedean Superrigidity
Christine Breiner, Ben K. Dees, Chikako Mese
We prove that harmonic maps into Euclidean buildings, which are not necessarily locally finite, have singular sets of Hausdorff codimension 2, extending the locally finite regulari…
Notes on Harmonic Maps
Georgios Daskalopoulos, Chikako Mese
This is set of notes prepared for the Summer School on non-Abelian Hodge theory in Abbaye de Saint-Jacut de la Mer June, 6-19, 2022. We cover the following topics: Lecture 1. Harmo…
Infinite energy harmonic maps from Riemann surfaces to CAT(0) spaces
Georgios Daskalopoulos, Chikako Mese
We present some results about harmonic maps with possibly infinite energy from punctured Riemann surfaces to CAT(0) spaces. In particular, we give precise estimates of their energy…
Infinite energy maps and rigidity
Georgios Daskalopoulos, Chikako Mese
We extend Siu's and Sampson's celebrated rigidity results to non-compact domains. More precisely, let be a smooth quasi-projective variety with universal cover and l…
Uniqueness of equivariant harmonic maps to symmetric spaces and buildings
Georgios Daskalopoulos, Chikako Mese
We prove uniqueness of equivariant harmonic maps into irreducible symmetric spaces of non-compact type and Euclidean buildings associated to isometric actions by Zariski dense subg…