1 citations · 3 across the 9 of their papers we have counts for
11 papers
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…
Best Lipschitz maps and Earthquakes
Georgios Daskalopoulos, Karen Uhlenbeck
This is the third paper in a series in which we prove Thurston's conjectural duality between best Lipschitz maps and transverse measures. In the second paper we found a special cla…
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…
Pluriharmonic maps into buildings and symmetric differentials
Damian Brotbek, Georgios Daskalopoulos, Ya Deng +1
Given a complex smooth quasi-projective variety , a semisimple algebraic group defined over some non-archimedean local field and a Zariski dense representation $\varrho:…
Analytic properties of Stretch maps and geodesic laminations
Georgios Daskalopoulos, Karen Uhlenbeck
In a 1998 preprint, Bill Thurston outlined a Teichmuller theory for hyperbolic surfaces based on maps between surfaces which minimize the Lipschitz constant (minimum stretch or bes…