Life and Works of Dr. Cristiana De Filippis
An online talk on the Life and work of Dr. Cristiana De Filippis. The first 45 minutes of the talk will be on her research work while the last fifteen minutes will be devoted to her Mathematical journey. The title of her Research Talk (first 45 minutes) is 'Quasiconvexity Meets Non-Linear Potential Theory'.
Details of the talk:
Date: 12ᵗʰ May 2023
Time: 2:30 PM (IST)
Mode: Online
The talk will held on Zoom and livestreamed on YouTube here. The zoom meeting details can be requested via email.
Abstract for the research talk:
A classical problem in the regularity theory for vector-valued minimizers of multiple integrals consists in proving their smoothness outside a negligible set, cf. Evans (ARMA ’86), Duzaar & Mingione (Ann. IHP-AN ‘04), Schmidt (ARMA ‘09). In this talk, I show how to infer sharp partial regularity results for relaxed minimizers of degenerate/singular, nonuniformly elliptic quasiconvex functionals, using tools from nonlinear potential theory. In particular, in the setting of functionals with (p,q)-growth - according to the terminology introduced by Marcellini (Ann. IHP-AN '86; ARMA ‘89) - I will derive optimal local regularity criteria under minimal assumptions on the data. This talk is partly based on joint work with Bianca Stroffolini (University of Naples Federico II).
About Dr. Cristiana De Filippis
Dr. Cristiana De Filippis is currently an assistant professor at the University of Parma, Italy. She is specialized in the area of calculus of variation and regularity theory of differential equations. Dr. De Filippis completed her PhD from the University of Oxford in 2019 and also awarded the prestigious G-Research Prize in that year. In 2020 she was listed as one of the top cited mathematicians according to AMS database. In 2021 she received the Gioacchino Iapichino prize of the Accademia Nazionale dei Lincei. This year she has been elected as one of the 30 fellows of the European Mathematical Society Young Academy.
Poster for the talk
Poster Credit: Tanmaay Jena