Eigth School on Analysis and Geometry in Metric Spaces

The aim of the school is to offer glimpses on the present state of research on geometric measure theory in Carnot-Caratheodory groups and in more general metric spaces. Analysis and Geometry on these structures has been object of extensive research in the last years, with applications ranging from degenerate elliptic equations to optimal control theory and differential geometry. It is intention of the organizers to encourage informal discussions among young and well-known researchers on current developments in the area.

 

Lecturers:

• Piotr Hajlasz (University of Pittsburgh): Geometric properties of the Heisenberg Groups
• Roberto Monti (Università di Padova): The regularity problem for Carnot-Carathéodory geodesics
• Emmanuel Trélat (Université Pierre et Marie Curie): Sub-Riemannian geometry: singular curves, applications (motion planning, shape analysis, semi-classical analysis)
• Jeremy Tyson (University of Illinois at Urbana-Champaign): Distortion of dimension by Sobolev and quasiconformal mappings

 

Scientific Organizers:

• Luigi Ambrosio (SNS Pisa)
• Bruno Franchi (Bologna)
• Irina Markina (Bergen)
• Raul Serapioni (Trento)
• Francesco Serra Cassano (Trento)