Centro Internazionale per la Ricerca Matematica (CIRM)

GNAMPA-INdAM

PRIN Project “Calcolo delle Variazioni”

GALA

Schedule

“5.^th School on Analysis and Geometry in Metric Spaces”

c/o G. Hotel Bellavista, Levico Terme, June 25-29, 2007

Monday, June 25

9.00-9.10 Opening

9.10-9.55 Michael Cowling (Sydney): “1-Quasiconformal maps on Carnot groups, I”

10.05-10.50 Michael Cowling (Sydney): “1-Quasiconformal maps on Carnot groups, II”

10.50-11.20 Coffee break

11.20-12.05 Manuel Ritoré (Granada): “Area-stationary surfaces and isoperimetric regions in

the Heisenberg group, I”

12.15-13.00 Manuel Ritoré (Granada): “Area-stationary surfaces and isoperimetric regions in

the Heisenberg group, II”

13.05 Lunch

15.00-15.45 Luca Capogna (Fayetteville): “A priori estimates for an elliptic regularization of the

minimal surface PDE in the Heisenberg group H^1”

15.55-16.40 Jeremy Tyson (Urbana-Champaign): “Gromov’s dimension comparison problem
and a fractal geometry in Carnot groups”

16.40-17.10 Coffee break

17.10-17.55 Gian Paolo Leonardi (Modena): “Regularity of abnormal geodesics in sub-Riemannian geometry”

18.05-18.50 Annalisa Baldi (Bologna): “Hypoellipticity, fundamental solution and Liouville type theorem for

matrix-valued differential operators in Carnot groups”

Tuesday, June 26

9.00-9.45 Michael Cowling (Sydney): “1-Quasiconformal maps on Carnot groups, III”

9.55-10.40 Michael Cowling (Sydney): “1-Quasiconformal maps on Carnot groups, IV”

10.40-11.10 Coffee break

11.10-11.55 Manuel Ritoré (Granada): “Area-stationary surfaces and isoperimetric regions in

the Heisenberg group, III”

12.05-12.50 Manuel Ritoré (Granada): “Area-stationary surfaces and isoperimetric regions in

the Heisenberg group, IV”

13.00 Lunch

15.00-15.45 Ilkka Holopainen (Helsinki): “$p$-harmonic functions on spaces of negative

curvature”

15.55-16.40 Stefano Meda (Milano Bicocca): “Recent results on BMO on metric measure

spaces”

16.40-17.10 Coffee break

17.10-17.55 Alexander Ukhlov (Negev): “Sobolev spaces and mappings with bounded (p,q)-

Distortion on Carnot groups”

18:05-18:50 Nicolas Juillet (Grenoble): “Synthetic Ricci curvature and Brunn-Minkowski

inequalities in the Heisenberg group”

Wednesday, June 27

9.00-9.45 Manuel Ritoré (Granada): “Area-stationary surfaces and isoperimetric regions in

the Heisenberg group, V”

9.55-10.40 Manuel Ritoré (Granada): “Area-stationary surfaces and isoperimetric regions in

the Heisenberg group, VI”

10.40-11.10 Coffee break

11.10-11.55 Juha Heinonen (Ann Arbor): “Whitney flat forms and applications, I”

12.05-12.50 Juha Heinonen (Ann Arbor): “Whitney flat forms and applications, I”

13.00 Lunch

Free Afternoon

Thursday, June 28

9.00-9.45 Juha Heinonen (Ann Arbor): “Whitney flat forms and applications, III”

9.55-10.40 Juha Heinonen (Ann Arbor): “Whitney flat forms and applications, IV”

10.40-11.10 Coffee break

11.10-11.55 Michael Cowling (Sydney): “1-Quasiconformal maps on Carnot groups, V”

12.05-12.50 Michael Cowling (Sydney): “1-Quasiconformal maps on Carnot groups, VI”

13.00 Lunch

15.00-15.45 Valentino Magnani (Pisa): “Contact equations, Lipschitz extensions and horizontal

surfaces”

15.55-16.40 Alessandra Cutrì (Roma II): “Comparison and existence results for a class of

Degenerate Hamilton-Jacobi equations”

16.40-17.10 Coffee break

17.10-17.55.1 John Maki (Urbana-Champaign): “$S$-John domains in the Heisenberg group”

Friday, June 29

9.00-9.45 Sergey Vodopyanov (Novosibirsk): “Sub-Riemannian geometry and related problems

of analysis”

9.55-10.40 Juha Heinonen (Ann Arbor): “Whitney flat forms and applications, V”

10.40-11.10 Coffee break

11.10-11.55 Juha Heinonen (Ann Arbor): “Whitney flat forms and applications, VI”

11.55 Closure

12.10 Lunch