Abstract

The Ginzburg-Landau energies for complex-valued maps, initially introduced to model superconductivity, were later found to approximate the area functional in codimension two.

While the pioneering works of Lin-Rivière and Bethuel-Brezis-Orlandi (2001) showed that, for families of critical maps, energy does concentrate along a codimension-two minimal submanifold, it has been an open question whether this happens with integer multiplicity. In this talk, based on joint work with Daniel Stern, we show that, in fact, the set of all possible multiplicities is precisely .

Agenda

Seminar website https://ncts.ntu.edu.tw/gmt-seminar.html