Differentiability and Porosity

12 Giugno 2019
Versione stampabile

Venue: Dipartimento di Matematica, via Sommarive, 14 - Povo (TN) - Sala Seminari "-1"
At: 2:30 pm

Speaker:

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

Abstract:

The idea behind differentiability - namely that a map be well approximated by linear maps on small scales - has been generalized to a wide variety of settings. The geometry of a space has implications for the differentiability of mappings on that space. One important aspect of the geometry is the size of porous sets, which are sets with many holes on small scales. This talk will introduce differentiability of maps defined on Banach spaces and metric measure spaces, then examine some connections between differentiability and porous sets.

Contact person: Andrea Pinamonti