Centro Internazionale per la Ricerca Matematica (C.I.R.M.)

and

MURST Project “Calcolo delle Variazioni

 

 

Second School on

“Analysis and Geometry on Metric Spaces”

 

Trento, c/o Residenza Panorama, June 11-15, 2001

 

 

 

Monday, June 11

11:00-11:15     Opening

11:15-12:00     H.M. Reimann: “Quasiconformal mappings on Heisenberg groups and related

                        topics, I”

12:10-12:55     H.M. Reimann: Quasiconformal mappings on Heisenberg groups and related

                        topics, II”

13:00               Lunch

15:00-15:45     L. Ambrosio: “Geometric measure theory in metric spaces: sets of finite perimeter

                        and currents in non Euclidean spaces, I”

15:55-16:40     L. Ambrosio: “Geometric measure theory in metric spaces: sets of finite perimeter

                        and currents in non Euclidean spaces, II”

16:40               Coffee break

17:10-17:55     M. Bramanti: “Estimates of BMO type for singular integrals on spaces of

                        homogeneous type and applications to hypoelliptic PDEs

20:00               Dinner

 

Tuesday, June 12

 9:00-9:45        M. Troyanov: “Axiomatic Sobolev spaces on measure metric spaces, I”

 9:55-10:40      M. Troyanov: “Axiomatic Sobolev spaces on measure metric spaces, II”

10:40               Coffee break

11:10-11:55     L. Ambrosio: “Geometric measure theory in metric spaces: sets of finite perimeter

                        and currents in non Euclidean spaces, III”

12:05-12:50     L. Ambrosio: “Geometric measure theory in metric spaces: sets of finite perimeter

                        and currents in non Euclidean spaces, IV”

13:00               Lunch

15:00-15:45     H.M. Reimann: Quasiconformal mappings on Heisenberg groups and related

                        topics, III”

15:55-16:40     H.M. Reimann: “Quasiconformal mappings on Heisenberg groups and related

                        topics, IV”

16:40               Coffee break

17:10-17:55     V. Magnani: “Currents in Heisenberg groups”

20:00               Dinner


 

Wednesday, June 13

 9:00-9:45        L. Ambrosio: “Geometric measure theory in metric spaces: sets of finite perimeter

                        and currents in non Euclidean spaces, V”

 9:55-10:40      H.M. Reimann:Quasiconformal mappings on Heisenberg groups and related

                        topics, V”

10:40               Coffee break

11:10-11:55     M. Troyanov: “Axiomatic Sobolev spaces on measure metric spaces, III”

12:05-12:50     B. Stroffolini: “Convexity in the Heisenberg group and applications to fully nonlinear                             

equations

13:00               Lunch

                        FREE AFTERNOON

19:30               Shuttle bus from Panorama Residence to Ristorante Castel Toblino for the Social

                        Dinner

 

Thursday, June 14

 9:00-9:45        M. Troyanov: “Axiomatic Sobolev spaces on measure metric spaces, IV”

 9:55-10:40      M. Troyanov: “Axiomatic Sobolev spaces on measure metric spaces, V”

10:40               Coffee break

11:10-11:55     L. Ambrosio: “Geometric measure theory in metric spaces: sets of finite perimeter

                        and currents in non Euclidean spaces, VI”

12:05-12:50     L. Ambrosio: “Geometric measure theory in metric spaces: sets of finite perimeter

                        and currents in non Euclidean spaces, VII”

13:00               Lunch

15:00-15:45     H.M. Reimann:Quasiconformal mappings on Heisenberg groups and related

                        topics, VI”

15:55-16:40     H.M. Reimann:Quasiconformal mappings on Heisenberg groups and related

                        topics, VII”

16:40               Coffee break

17:10-17:55     G.P. Leonardi: “Isoperimetric sets in the Heisenberg group”

18:05-18:50     F. Cipriani: “Derivations as square roots of Dirichlet forms”

20:00               Dinner

 

Friday, June 15

 9:00-9:45        M. Troyanov: “Axiomatic Sobolev spaces on measure metric spaces, VI”

 9:55-10:40      M. Troyanov: “Axiomatic Sobolev spaces on measure metric spaces, VII”

10:40               Coffee break

11:10-11:55     I. Holopainen: “Singular solutions, homogeneous norms, and quasiconformal

mappings in Carnot groups”

12:30               Lunch