ICTP/SISSA Joint Colloquium by Prof. Luigi Ambrosio - Wednesday 12 April, at 16:00 - Venue: ICTP Budinich Lecture Hall

[ICTP Math Section]

ICTP will hold a joint ICTP-SISSA Colloquium by Professor Luigi 
Ambrosio, Director of Scuola Normale Superiore, on "On some variational 
problems involving functions with bounded Hessian". The Colloquium will 
take place in ICTP's Budinich Lecture Hall on Wednesday 12 April at 
16:00 CET and will also be livestreamed on ICTP's YouTube channel.

Luigi Ambrosio has been a full professor of Mathematical Analysis at 
Scuola Normale Superiore of Pisa since 1997. In 2019, he was nominated 
as Director of Scuola Normale Superiore. Ambrosio is a long-term 
visiting scientist at 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, Ambrosio was full professor at the University of Pisa and at 
the University of Benevento, both in Italy.

Ambrosio's scientific interests 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 the Riemann Prize of the Riemann 
International Mathematics School (2022); the Balzan Prize for 
achievements in the theory of partial differential equations (2019); the 
Blaise Pascal Medal of the European Academy of Sciences (2019); and the 
gold medal for achievements in Mathematics awarded by the XL National 
Academy of Sciences, Italy (2015).

In his talk, Professor 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-and-answer session and light 
refreshments will be served in the lobby shortly after. For more 
information, please see https://indico.ictp.it/event/10298

-- 
Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

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