Dear All,
You are most cordially invited to the ICTP-SISSA Colloquium by Prof. Luigi Ambrosio, Director of Scuola Normale Superiore, on "On some variational problems involving functions with bounded Hessian".
The Colloquium will take place at the ICTP, in the Budinich Lecture Hall, TODAY, Wednesday 12 April at 16:00 hrs CET and will also be livestreamed from the ICTP website.
Biosketch: Luigi Ambrosio is Full Professor of
Mathematical Analysis at Scuola Normale Superiore of Pisa since
1997. In 2019 he has been nominated Director of Scuola Normale
Superiore. Prof. Ambrosio is a long term visiting scientist in
the Max Planck Institute of Leipzig, the Massachusetts Institute
of Technology, the ETH of Zurich, and the Institute Henri
Poincaré of Paris. Prior to joining Scuola Normale Superiore,
Prof. Ambrosio has been Full Professor at the University of Pisa
and at the University of Benevento, both in Italy.
Prof. Ambrosio's scientific interest include the calculus of variations, the Geometric Measure Theory; the Transportation Theory and their application to partial differential equations. For his research he has been awarded numerous prizes, including which the "Riemann prize of the Riemann International Mathematics School" (2022); the Balzan Prize for the achievements in the theory of partial differential equations (2019); the Blaise Pascal Medal of the European Academy of Sciences (2019); the gold medal for achievements in Mathematics awarded by the XL National Academy of Sciences, Italy (2015).
Abstract: In this talk Prof. Ambrosio will illustrate new questions, at the interface between Calculus of Variations and Geometric Measure Theory, motivated in a broad sense by the more applied machine learning community. More specifically, he will deal with second-order variational problems in the setting of functions with bounded variation and study the extremal properties of continuous and piecewise affine functions in the unit ball of a suitable energy, used as a regularization term in the applied community. In connection with this, a fine approximation result by piecewise affine function has been investigated.
The talk will be followed by a question/answer session and light refreshments will be served in the lobby shortly after. For more information, please see https://indico.ictp.it/event/10298
Looking forward to your participation.
With best regards,
Marianna Tonutti
-- Marianna Tonutti Office of the Director The Abdus Salam International Centre for Theoretical Physics (ICTP) Trieste, Italy +39 040 2240 373 mtonutti@ictp.it www.ictp.it