# 401-4607-67L Schramm-Loewner Evolutions

Semester | Autumn Semester 2017 |

Lecturers | W. Werner |

Periodicity | non-recurring course |

Language of instruction | English |

Abstract | 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. |

Objective | The goal of the course is to provide an overview of the definition and the main properties of Schramm-Loewner Evolutions (SLE). |

Content | 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 |