Convegno
Alessio Figalli, Fields medallist 2018
lunedì 14 gennaio 2019 - giovedì 17 gennaio 2019
Centro di Ricerca Matematica Ennio De Giorgi
piazza dei Cavalieri, 3 (Palazzo Puteano)
56126 Pisa
MONDAY 14

Sala Azzurra and Aula Bianchi
09:30 - 10:30 Registration and welcome coffee

10:30 - 11:30 Institutional greetings and videos

11:30 - 12:00 Guido DE PHILIPPIS, My work with Alessio on Sobolev regularity of the Monge-Ampère equations

12:00 - 12:30 Aldo PRATELLI, The quantitative isoperimetric inequality via mass transportation: a work with Francesco MAGGI and Alessio

Lunch break

Aula Magna Pontecorvo
15:00 - 16:00 Robert J. MCCANN, Displacement convexity of Boltzmann’s entropy characterizes positive energy in General Relativity

16:00 - 16:30 Coffee break

16:30 - 17:00 Francesco MAGGI, Soap films, soap bubbles, and almost critical points in geometric variational problems

TUESDAY 15

09:30 - 10:30 Camillo DE LELLIS, Regularity and structure of area minimizing currents mod p

10:30 - 11:00 Coffee break

11:00 - 12:00 José Antonio CARRILLO DE LA PLATA, Aggregation-diffusion equations and (reverse) Hardy-Littlewood-Sobolev inequalities

Lunch break

15:00 - 16:00 Aldo PRATELLI, On the Sobolev approximability of planar invertible mappings

16:00 - 16:30 Coffee break

16:30 - 17:30 Ludovic RIFFORD, Recent progress in sub-Riemannian geometry

WEDNESDAY 16

Aula Magna Pontecorvo
09:30 - 10:30 Albert FATHI, Singularities of solutions of the Hamilton-Jacobi equation. A toy model: distance to a closed subset

10:30 - 11:00 Coffee break

11:00 - 12:00 Nicola GIGLI, Functional analysis and metric geometry

Lunch break

16:00 - 17:00 Jean Luis Vázquez Suárez, Nonlinear diffusion equations driven by fractional operators

17:00 - 17:30 Coffee break

17:30 - 18:30 Antonio Esposito CORBO, An homogenization result with a Γ-limit absolutely continuous with respect to a singular measure

THURSDAY 17

Aula Magna Pontecorvo
09:30 - 10:30 Giovanni ALBERTI, On the extension of Frobenius theorem to non-smooth sets and currents

10:30 - 11:00 Coffee break

11:00 - 12:00 Guido DE PHILIPPIS, Fine structure of measures satisfying a PDE constraint