401-4607-67L Schramm-Loewner Evolutions
| Semester | Herbstsemester 2017 |
| Dozierende | W. Werner |
| Periodizität | einmalige Veranstaltung |
| Lehrsprache | Englisch |
| Kurzbeschreibung | This course will be an introduction to Schramm-Loewner Evolutions which are natural random planar curve that arise in a number of contexts in probability theory and statistical theory in two dimensions. |
| Lernziel | The goal of the course is to provide an overview of the definition and the main properties of Schramm-Loewner Evolutions (SLE). |
| Inhalt | Most of the following items will be covered in the lectures: - Introduction to SLE - Definition of SLE - Phases of SLE, hitting probabilities - How does one prove that an SLE is actually a curve? - Restriction, locality - Relation to loop-soups and the Gaussian Free Field - Some SLEs as scaling limit of lattice models |