Rademacher’s Theorem and Beyond

Venue: Dipartimento di Matematica, via Sommarive, 14 - Povo (TN) - Sala Seminari "-1"
At: 2 pm

Speaker:

• Speight Gareth James (University of Cincinnati, U.S.A.)

Abstract:

A map is differentiable if on small scales it can be well approximated by linear maps. Often it is useful to know when seemingly quite general maps turn out to have differentiability properties. An important tool in this direction is Rademacher’s theorem. Rademacher’s theorem applies to Lipschitz maps, which distort distances in a controlled way and often arise in geometric measure theory. After reviewing Rademacher’s theorem in Euclidean spaces, we discuss to what extent Rademacher’s theorem admits a converse or can be extended to more general spaces. 

Contact person: Andrea Pinamonti