Approximation of convex functions and the Alexandrov theorem

Analysis and Operator Theory Seminar
March 2, 2023
11:30 am - 12:30 pm
MW 154

Date Range
2023-03-02 11:30:00 2023-03-02 12:30:00 Approximation of convex functions and the Alexandrov theorem Title:  Approximation of convex functions and the Alexandrov theorem Speaker:  Piotr Hajłasz (University of Pittsburgh) Speaker's URL:  https://sites.google.com/view/piotr-hajasz/home Abstract:  I will show a new, elementary and geometric proof of the classical theorem of Alexandrov about the second order differentiability of convex functions. The same method leads to new proofs of recent results about Lusin approximation of convex functions and convex bodies by $C^{1,1}$ convex functions and convex bodies. Finally, I will discuss recent results about Lusin approximation of strongly convex functions by $C^2$ strongly convex functions. The talk is based on my work with Azagra, Cappello and Drake. URL associated with Seminar:  https://u.osu.edu/aots/ MW 154 America/New_York public

Title:  Approximation of convex functions and the Alexandrov theorem

Speaker:  Piotr Hajłasz (University of Pittsburgh)

Speaker's URL:  https://sites.google.com/view/piotr-hajasz/home

Abstract:  I will show a new, elementary and geometric proof of the classical theorem of Alexandrov about the second order differentiability of convex functions. The same method leads to new proofs of recent results about Lusin approximation of convex functions and convex bodies by $C^{1,1}$ convex functions and convex bodies. Finally, I will discuss recent results about Lusin approximation of strongly convex functions by $C^2$ strongly convex functions. The talk is based on my work with Azagra, Cappello and Drake.

URL associated with Seminar:  https://u.osu.edu/aots/

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Seminar - Analysis and Operator Theory