Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
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Secondary Mathematics Subject Classification
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Complete Calabi-Yau metrics and optimal transport problems
Calabi-Yau metrics are Ricci-flat and K\"ahler metrics and they are a central part of K\"ahler geometry. The existence of Calabi-Yau metrics on compact K\"ahler manifolds has been understood since Yau's resolution of the Calabi conjecture. By contrast, the situation in the complete non-compact case is more intricate and remains an active area of research. In this talk, I will discuss some recent developments in the study of complete Calabi-Yau metrics where the regularity theory of an optimal transport problem plays a big role. This is based on joint work with Tristan Collins and Shing-Tung Yau.
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