Seminar
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| Location: | SLMath: Eisenbud Auditorium |
Keywords and Mathematics Subject Classification (MSC)
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Legendre duality is inherently a "real" object. Is there a complex analogue of Legendre? In our quest to find such an object, Berndtsson, Cordero-Erausquin, Klartag, and I revisit the « canonical'' role of convex functions, finding many similar classes of functions, all subsets of the space of plurisubharmonic functions. This turns out to have ties to several foundational works in interpolation theory going back to Calderon, Coifman, Cwikel, Rochberg, Sagher, and Weiss, as well as in complex analysis/geometry going back to Alexander--Wermer, Slodkowski, Moriyon, Lempert, Mabuchi, Semmes, and Donaldson.
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