10 dec 2019 -- 10:00   [open in google calendar]

Scuola Normale Superiore, Aula Bianchi

Abstract.

$\alpha$-Dirac-harmonic maps are variations of Dirac-harmonic maps, analogous to $\alpha$-harmonic maps that were introduced by Sacks-Uhlenbeck to attack the existence problem for harmonic maps from closed surfaces. For $\alpha >1$, the latter are known to satisfy a Palais-Smale condition, and so, the technique of Sacks-Uhlenbeck consists in constructing $\alpha$-harmonic maps for $\alpha >1$ and then letting $\alpha\to1$. In this talk, we will extend this scheme to Dirac-harmonic maps.