MATH-605 / 2 credits

Teacher: Invited professor(s)

Language: English

Remark: The exact times will be fixed shortly, most likely the dates will be 5/10, 12/10, 19/10, 16/11, 23/11, 30/11, 7/12, 14/12.


Frequency

Only this year

Summary

The course will focus on a probabilistic construction of a conformal field theory related to random Riemann surfaces, called the Liouville conformal field theory. The symmetries of the theory allow to express the n-point correlation functions in terms of 3-points correlation functions on S^2.

Content

Learning Prerequisites

Required courses

Basic knowledges of probablity, Riemannian geometry and functional analysis are required.

In the programs

  • Exam form: Oral (session free)
  • Subject examined: Conformal bootstrap and Liouville conformal field
  • Lecture: 16 Hour(s)
  • Exercises: 4 Hour(s)
  • Practical work: 20 Hour(s)

Reference week