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A Mathematical Tribute to Ennio De Giorgi

On the occasion of the ventennial of Ennio De Giorgi’s departure, the meeting gathers many generations of mathematicians and aims at the presentation of the most recent advances in the many research fields marked by De Giorgi’s contributions.



Organising Committee

Luigi Ambrosio (Scuola Normale Superiore)Gianni Dal Maso (SISSA,  Trieste)Marco Forti (Università di Pisa)Antonio Leaci (Università del Salento)Sergio Spagnolo (Università di Pisa)







Invited Speakers

Andrea Braides (Università di Roma Tor Vergata)Haim Brezis (Rutgers University and Technion)Giuseppe Buttazzo (Università di Pisa)Xavier Cabré (ICREA and UPC Barcelona)Luis Caffarelli (University of Texas at Austin)Piero D’ancona (Università di Roma La Sapienza)Camillo De Lellis (Universität Zürich)Emmanuele Di Benedetto (Vanderbilt University)Alessio Figalli (University of Texas at Austin)Wendell H. Fleming (Brown University)Nicola Fusco (Università di Napoli Federico II)Nicola Gigli (SISSA, Trieste)Furio Honsell (Università di Udine)David Kinderlehrer (Carnegie Mellon University)Pierre Louis Lions (Collège de France and Ceremade)Giuseppe Mingione (Università di Parma)Umberto Mosco (Worcester Polytechnic Institute)Louis Nirenberg (Courant Institute)Felix Otto (Max Planck Institute for Mathematics in the Sciences)Giuseppe Savaré (Università di Pavia)Sylvia Serfaty (University Pierre et Marie Curie)Stefan Wenger (University of Fribourg)


 







Programme

Monday 19


13.00-14.30 Registration


14.30-15.00 Welcome addresses by L. Ambrosio, A. Leaci, L. Modica, S. Marmi.


15.00-15.55   P.L. Lions   Interfaces,  junctions and stratification:  a viscosity solutionsapproach


16.00-16.40 Coffee break


16.40-17.35 G. Buttazzo Worst-case shape optimization problems for the Dirichlet energy


Tuesday 20


9.00-9.55 F. Honsell Implementing Cantor’s paradise in constructive type theory


10.00-10.55 C. De Lellis Min-max methods for surfaces with boundary


11.00-11.45 Coffee break


11.45-12.40  G. Savaré  The Hellinger-Kantorovich distance between positive measures and optimal entropy-transport problems


Lunch break, at Palazzo dei Congressi


14.30-15.25 E. Di Benedetto A Wiener-type condition for boundary continuity of quasi-minima of variational integrals


15.30-16.00 Coffee break


16.00-16.55 P. D’Ancona Global existence of small equivariant wave maps on rotationally symmetric manifolds


17.00-17.15 L. Nirenberg


Wednesday 21


9.00-9.55 U. Mosco Beyond perimeters, between discrete and continuous structures


10.00-10.55 S. Wenger Plateau’s problem in metric spaces and applications


11.00-11.45 Coffee break


11.45-12.40 A. Braides Homogenization of geometric flows on lattices


Lunch break, at Palazzo dei Congressi


14.30-15.25 H. Brezis Another triumph for De Giorgi’s Γ-convergence


15.30-16.00 Coffee break


16.00-16.55   N. Fusco   Stability results  for the  nonlocal Mullins-Sekerka and  for the Hele-Shaw flow


Thursday 22


9.00-9.55  N. Gigli  Spaces with Ricci curvature bounded from below: state of the art and future challenges


10.00-10.55 I. Fonseca Epitaxially strained elastic films: quantum dots and dislocations


11.00-11.45 Coffee break


11.45-12.40 A. Figalli Free boundary regularity in the parabolic fractional obstacle problem


Lunch break, at Palazzo dei Congressi


14.30-15.25 D. Kinderlehrer The gradient flow of microstructure


15.30-16.00 Coffee break


16.00-16.55 L. Caffarelli The Monge-Ampère equation, local and integral


17.00-17.55  W.H. Fleming  De Giorgi and Geometric Measure Theory  (text read by T. Zolezzi)


Friday 23


9.00-9.55  F. Otto  The thresholding scheme for mean curvature flow and De Giorgi’s ideas for minimizing movements


10.00-10.55 X. Cabré Curves and surfaces with constant nonlocal mean curvature


11.00-11.45 Coffee break


11.45-12.40 R. Mingione Recent progresses in nonlinear potential theory







Contact information

Centro di Ricerca Matematica Ennio De GiorgiCollegio Puteano Piazza dei Cavalieri 3 56126 PISA, Italycrm@sns.itwww.crm.sns.it