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Gigli: Differentiating in a non-differentiable environment (Colloquio De Giorgi)

Gigli: \underlione{The speaker will be connected remotely}

Web site: http://www.crm.sns.it/event/493/

In person registration: http://www.crm.sns.it/event/493/registration.html

Zoom link for online participation: https://us02web.zoom.us/j/83942828284?pwd=b0dyWmpsUjViY3pDQy9GYm9pK0tXZz09

In the event of impediments due to covid-19 pandemic measures, the lecture will run completely from remote on the same date.
We all know what the differential of a smooth map from R to R is. By looking at coordinates and then at charts, we also know what it is the differential of a smooth map between differentiable manifolds.

With a little bit of work, we can also define a (weak) differential for Sobolev/BV maps in this setting (but the case of manifold-valued maps presents challenges already at this level).

In this talk I will discuss how it is possible to differentiate maps between spaces that have no underlying differentiable structure at all. The concepts of Sobolev/BV maps in this setting will also be discussed.
http://cvgmt.sns.it/seminar/856/

When
Fri Nov 26, 2021 1:30pm – 2:30pm Coordinated Universal Time
Where
Aula Dini (on-line) and Zoom (map)