Pluripotential-theoretic characterizations of maximal geodesic rays
Pluripotential-theoretic characterizations of maximal geodesic rays
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Mingchen Xia, Chalmers University of Technology
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In K盲hler geometry, especially in the study of K盲hler鈥擡instein metrics, a special class of geodesic rays in the space of K盲hler potentials introduced by Berman鈥擝oucksom鈥擩onsson, known as maximal geodesic rays plays an important role. In this talk, I will explain how Legendre transforms translate problems of geodesic rays into pluripotential-theoretic problems. I will talk about new characterizations of maximal geodesic rays obtained in this way.
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This is a joint work with Tam谩s Darvas.