JOINT ICTP/SISSA GEOMETRIC ANALYSIS SEMINAR (Thursday 5 May)

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JOINT ICTP/SISSA GEOMETRIC ANALYSIS SEMINARS 2011


Thursday, 5 May, at 15:00 hrs.


Professor Giovanni Bellettini (Universita' di Roma Tor Vergata)

"On the area of the graph of a singular map from the plane to the plane 
taking three values"

Abstract:
We are interested in understanding what is the area of the graph of a 
map u with vector values (in particular, from the plane to the plane) in 
the case when u is discontinuous.  We will concentrate on a very special 
case, of a function u taking three vectors (at the vertices of an 
equilateral triangle) and jumping on a triple junction with angles at 
120 degrees.  This problem, related to a question posed by De Giorgi 
several years ago, is strictly related to minimal surfaces with 
codimension two.

VENUE: Luigi Stasi Seminar Room
(ICTP Leonardo da Vinci Building, first floor)