Sub-Riemannian Geometry and PDEs

Levico Terme (Trento), July 2-5, 2012

Program

	Monday, 2	Tuesday, 3	Wednesday, 4	Thursday, 5
9:00-9:50	MATTILA	GAROFALO	AMBROSIO	CITTI
10:00-10:50	RITORE’	BALOGH	CHANILLO	LE DONNE
11:00-11:30	Coffee break	Coffee break	Coffee break	Coffee break
11:30-12:20	BOSCAIN	CAPOGNA	TYSON	MONTI
13:00	Lunch	Lunch	Lunch	Lunch
15:00-15:50	MAGNANI		FRANCHI
16:00-16:50	VITTONE		RIGOT
17:00-17:30	Break		Break
17:30-17:55	KOKAREV		GOLDSHTEIN
18:00-18:25	BARILARI		GRONG
19:30	Dinner	Dinner	Dinner

Monday, July 2
 9.00-9.50 Pertti Mattila: Singular integrals and removability for Lipschitz harmonic functions

in Heisenberg groups
10.00-10.50 Manuel Ritoré: Variational problems in contact sub-Riemannian manifolds

11.00-11.30 Coffee break
11.30-12.20 Ugo Boscain: Small time heat kernel asymptotics at the sub-Riemannian cut locus

13.00 Lunch
15.00-15.50 Valentino Magnani: Regularity estimates for convex functions in Carnot-

Carathéodory spaces
16.00-16.50 Davide Vittone: Some new results on sub-Riemannian geodesics in Carnot groups

17.00-17.30 Break
17.30-17.55 Short talk – Gerasim Kokarev: Sub-Laplacian eigenvalue bounds on CR

manifolds

18.00-18.25 Short talk – Davide Barilari: Curvature in sub-Riemannian geometry

19.30           Dinner

Tuesday, July 3
 9.00-9.50 Nicola Garofalo: Generalized curvature-dimension inequalities, Li-Yau inequalities

and volume growth in negatively curved sub-Riemannian manifolds
10.00-10.50 Zoltan Balogh: The Hopf-Lax formula in Carnot groups: a control theoretical

approach
11.00-11.30 Coffee break
11.30-12.20 Luca Capogna: Stability of the Poincare’ and doubling inequalities in a

Riemannian approximation of Carnot-Carathéodory spaces and applications
13.00 Lunch

Free afternoon

19.30           Dinner

Wednesday, July 4
 9.00-9.50 Luigi Ambrosio: Equivalence of weak gradients in metric measure spaces
10.00-10.50 Sagun Chanillo: Embeddability of CR three manifolds and the CR Yamabe

invariant
11.00-11.30 Coffee break
11.30-12.20 Jeremy Tyson: Projection maps and Sobolev dimension distortion in the

Heisenberg group

13.00 Lunch
15.00-15.50 Bruno Franchi: Fractional sub-Laplacians in Carnot groups
16.00-16.50 Séverine Rigot: Isodiametric problem in Carnot groups

17.00-17.30 Break
17.30-17.55 Short talk – Vladimir Goldshtein: L_{q,p}-cohomology

18.00-18.25 Short talk – Erlend Grong: PDEs as geodesic equations in infinite dimensional sub-

Riemannian geometry

19.30           Dinner

Thursday, July 5
 9.00-9.50 Giovanna Citti: Sub-Riemannian heat kernels and mean curvature flow of graphs

over Carnot groups
10.00-10.50 Enrico Le Donne: Constant-normal sets in step-3 Carnot groups

11.00-11.30 Coffee break
11.30-12.20 Roberto Monti: The regularity problem of minimal surfaces in the Heisenberg

group

12.30 Lunch