JOINT ICTP/SISSA GEOMETRIC ANALYSIS SEMINAR - On the area of the graph of a singular map from the plane to the plane taking three values.
Starts 5 May 2011 16:00
Ends 5 May 2011 20:00
Central European Time
Leonardo da Vinci Building Luigi Stasi Seminar Room
Strada Costiera, 11
I - 34151 Trieste (Italy)
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.
ICTP - Strada Costiera, 11
I - 34151 Trieste Italy (+39) 040 2240 111 firstname.lastname@example.org