Aim of this talk is to propose a notion of parallel transport for spaces, which are metric measure spaces satisfying lower Ricci curvature bounds in a generalised sense. The first part of the seminar will be devoted to the description of the calculus tools that are already available in such nonsmooth framework and to the development of some new functional spaces that will constitute the setting for our theory. In the second part we will give the definition of parallel transport and prove both its wellposedness and uniqueness. Some geometric consequences of the existence of this concept of parallel transport will be shown to hold, in primis the constant dimension of the underlying spaces. As a last step, we will provide existence of the parallel transport for a special class of finitedimensional spaces. The existence for general spaces is still an open problem. This is a joint work with Nicola Gigli.
You are here
Towards a notion of parallel transport for metric measure spaces with lower Ricci curvature bounds
Research Group:
Enrico Pasqualetto
Institution:
SISSA
Location:
A133
Schedule:
Friday, January 26, 2018  14:00
Abstract:
Openings
 Public calls for academic personnel (Permanent positions)
 Professors (Temporary/Researchers/Visiting Professors)
 SISSA Mathematical Fellowships
 Post Doctoral Fellowships
 PhD Scholarships
 Call for Applications (PhD)
 Undergraduate Fellowships
 Postgraduate Fellowships
 Master of Science in Mathematics
 Marie SklodowskaCurie Grants
Upcoming events

Stefano Giani
Discontinuous Galerkin methods: advantages and applications
Wednesday, May 23, 2018  11:00

Antonello Scardicchio
Introduction to Quantum Computation
Wednesday, May 23, 2018  14:30

Alessandro Carotenuto
Life, miracles and differential calculus of Jordan algebras
Wednesday, May 23, 2018  16:15

Carolina Araujo
A Geometric View on Tsen's Theorem
Thursday, May 24, 2018  14:30
Today's Lectures

Luca Heltai
11:00 to 13:00

Massimiliano Berti
14:00 to 16:00
Recent publications

A. Michelangeli; R. Scandone,Pointlike perturbed fractiona...

G. Dal Maso; R. Toader,On the Cauchy problem for the...

G. Cotti; B. Dubrovin; D. Guzzetti,Local moduli of semisimple Fro...

A. Michelangeli; A. Ottolini; R. Scandone,Fractional powers and singular...