401-4607-67L  Schramm-Loewner Evolutions

SemesterAutumn Semester 2017
LecturersW. Werner
Periodicitynon-recurring course
Language of instructionEnglish



Courses

NumberTitleHoursLecturers
401-4607-67 VSchramm-Loewner Evolutions
Lectures during 9-10 weeks, first lecture on September 20th
30s hrs
Wed09:15-12:00HG F 26.5 »
W. Werner

Catalogue data

AbstractThis 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.
ObjectiveThe goal of the course is to provide an overview of the definition and the main properties of Schramm-Loewner Evolutions (SLE).
ContentMost 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

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits4 credits
ExaminersW. Werner
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationoral 20 minutes
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

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Only public learning materials are listed.

Groups

No information on groups available.

Restrictions

There are no additional restrictions for the registration.

Offered in

ProgrammeSectionType
Doctoral Department of MathematicsGraduate SchoolWInformation
Mathematics MasterSelection: Probability Theory, StatisticsWInformation