BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:The De Giorgi conjecture for the half-Laplacian in dimension 4 - A
 lessio Figalli\, ETH Zurich
DTSTART:20170515T140000Z
DTEND:20170515T150000Z
UID:TALK72624@talks.cam.ac.uk
CONTACT:Mikaela Iacobelli
DESCRIPTION:The famous the Giorgi conjecture for the Allen-Cahn equation\n
 states that global monotone solutions are 1D if the dimension is less\ntha
 n 9. This conjecture is motivated by classical results about the\nstructur
 e of global minimal surfaces. The analogue of this conjecture\nin half-spa
 ces can be reduced to study the problem in the whole space\nfor the Allen-
 Cahn equation with the half-Laplacian. In this talk I\nwill present a rece
 nt result with Joaquim Serra\, where we prove the\nvalidity of the De Gior
 gi conjecture for stable solutions in dimension\n3\, that implies the resu
 lt on monotone solutions in dimension 4.
LOCATION:CMS\, MR13
END:VEVENT
END:VCALENDAR