THE MATHEMATICS OF ENNIO DE GIORGI



SCUOLA NORMALE SUPERIORE

OCTOBER 24-27, 2001



PROGRAM



October 24.


9.00 - 9.10. OPENING ADDRESS.

9.10 - 9.20. S.SETTIS, Direttore Scuola Normale Superiore

9.20 - 9.30. A.LEACI, Direttore Dipartimento di Matematica ``Ennio De Giorgi''

9.30 - 11.00. M.MIRANDA: ``Plateau's problem and the minimal surface equation''

11.00 - 11.20. coffee break

11.20 - 12.50. S.SPAGNOLO: ``The contribution of De Giorgi to non-elliptic PDE's: non-uniqueness examples, Cauchy problem in Gevrey classes and surjectivity on the analytic functions''

Afternoon session.

15.00 - 15.55. F.MORGAN: ``Area-minimizing surfaces in ambients with singularities''

16.00 - 16.55. B.FRANCHI: ``Perimeter and rectifiability in step 2 Carnot groups''

16.55 - 17.15. coffee break

17.15 - 18.10. F.HONSELL: ``Virtuous circles''



October 25.


9.00 - 10.30. M.FORTI: ``The Foundational Programme of Ennio De Giorgi''

10.30 - 10.45. coffee break

10.45 - 11.40. I.FONSECA: ``Higher order variational problems''

11.45 - 12.40. G.BUTTAZZO: ``Shape optimization and mass transportation theory''

Afternoon session.

15.00 - 15.55. H.BREZIS: ``New questions and new results on Sobolev spaces''

16.00 - 16.55. G.ALBERTI: ``Jacobians of Sk-valued maps''

16.55 - 17.15. coffee break

17.15 - 18.10. G.BELLETTINI: ``Some remarks on barriers for differential equations''



October 26.


9.00 - 10.30. E.GIUSTI: ``The contribution of De Giorgi to the regularity theory for elliptic PDE's''

10.30 - 10.45. coffee break

10.45 - 11.40. U.MOSCO: ``On the metric roots of De Giorgi-Nash-Moser's theory''

11.45 - 12.40. S.MÜLLER: ``Elliptic and parabolic systems with nowhere smooth solutions''

Afternoon session.

15.00 - 15.55. G.LONGO: ``The foundation of Mathematics as interaction with other sciences, reflections relating to and departing from De Giorgi's foundational approach''

16.00 - 16.55. A.BRAIDES: ``The construction of asymptotic theories by G-convergence''

16.55 - 17.15. coffee break

17.15 - 18.10. F.TREVES: ``On the analiticity of solutions of linear PDE''



October 27.


9.00 - 10.30. G.DAL MASO: ``The early developments of G-convergence''

10.30 - 10.45. coffee break

10.45 - 11.40. D.KINDERLEHRER: ``A Markov chain paradigm for the brownian motor and its consequences''


TeX, PostScript, PDF File of the Program - 23 Oct 2001.