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"Free boundary regularity for the obstacle problem"

Date:

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Time:

Wednesday, 02 Nov.2022

Video-Recording for any system with MP4-support

- Video.mp4 (ca. 520 Mb)

15:30 – 16:35

SMC Colloquium lecture

Alessio Figalli

(ETH Zurich)

Abstract:

The classical obstacle problem consists of finding the equilibrium position

of an elastic membrane whose boundary is held fixed and which is constrained

to lie above a given obstacle. By classical results of Caffarelli, the free boundary

is smooth outside a set of singular points. However, explicit examples show

that the singular set could be, in general, as large as the regular set.

This talk aims to introduce this beautiful problem and describe some classical

and recent results on the regularity of the free boundary.

Recorded at KTH Campus, Lecture-room: K1