CRM: Centro De Giorgi

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Alessio Figalli, Fields medallist 2018

Partially supported by the Unione Matematica Italiana and the Mathematics Department of Pisa University

14 January 2019 - 17 January 2019

Timetable

Date Time Speaker Room
Mon 14 Jan 9:30- 10:30 Registration Aula Bianchi
9:30- 10:30 Welcome coffee Corridoio II piano
10:30- 11:30 Institutional greetings and videos Sala Azzurra and Sala Stemmi
11:30- 12:00 De Philippis, Guido
"My work with Alessio on Sobolev regularity of the Monge-Ampère equations"
Sala Azzurra and Sala Stemmi
12:00- 12:30 Pratelli, Aldo
"The quantitative isoperimetric inequality via mass transportation: a work with Francesco Maggi and Alessio"
Sala Azzurra and Sala Stemmi
12:30- 15:00 Lunch break Scuola Normale Self Service
15:00- 16:00 De Lellis, Camillo
"Regularity and structure of area minimizing currents mod p"
Aula Magna Bruno Pontecorvo
16:00- 16:30 Coffee break Aula Magna Bruno Pontecorvo
16:30- 17:30 Maggi, Francesco
"Soap films, soap bubbles, and almost critical points in geometric variational problems"
Aula Magna Bruno Pontecorvo
Tue 15 Jan 9:30- 10:30 McCann, Robert
"Displacement convexity of Boltzmann's entropy characterizes positive energy in General Relativity"
Aula Magna Bruno Pontecorvo
10:30- 11:00 Coffee break Aula Magna Bruno Pontecorvo
11:00- 12:00 Carrillo De La Plata, José A.
"Nonlinear aggregation-diffusion equations: (reverse) HLS inequalities and equilibration."
Aula Magna Bruno Pontecorvo
12:00- 15:00 Lunch break
15:00- 16:00 Pratelli, Aldo
"On the Sobolev approximability of planar invertible mappings"
Aula Magna Bruno Pontecorvo
16:00- 16:30 Coffee break Aula Magna Bruno Pontecorvo
Wed 16 Jan 9:30- 10:30 Fathi, Albert
"Singularities of solutions of the Hamilton-Jacobi equation. A toy model: distance to a closed subset."
Aula Magna Bruno Pontecorvo
10:30- 11:00 Coffee break Aula Magna Bruno Pontecorvo
11:00- 12:00 Gigli, Nicola
"Functional analysis and metric geometry"
Aula Magna Bruno Pontecorvo
12:00- 16:00 Lunch break
16:00- 17:00 Vazquez, Juan Luis
"Nonlinear diffusion equations driven by fractional operators"
Aula Magna Bruno Pontecorvo
17:00- 17:30 Coffee break Aula Magna Bruno Pontecorvo
17:30- 18:30 Corbo Esposito, Antonio
"An homogenization result with a Γ-limit absolutely continuous with respect to a singular measure"
Aula Magna Bruno Pontecorvo
Thu 17 Jan 9:30- 10:30 Alberti, Giovanni
"On the extension of Frobenius theorem to non-smooth sets and currents"
Aula Magna Bruno Pontecorvo
10:30- 11:00 Coffee break Aula Magna Bruno Pontecorvo
11:00- 12:00 De Philippis, Guido
"Fine structure of measures satisfying a PDE constraint"
Aula Magna Bruno Pontecorvo