## Random matrices and Free probability

## When and where?

**When:** on random **WEDNESDAYS**, 12.15-15.45, with a lunch break 13.45-14.15.

**Where:** room 405

## Mailing list

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## Thursday, October 5, 2017. 12.15-16.00 in Room 106

#### Lecture 1. GUE random matrices

What is it all about? What are the needs of the Audience?

**Exercise 0. **Read the 2-page notice of Persi Diaconis.

**Exercise 1. **Visit the website of Prof. Dr. Roland Speicher and read pages 9-13 from the book *Free Probability and Random Matrices.*

## Wednesday, October 18, 2017, 12.15-15.45, in room 405

#### Lecture 2. Freeness

## Wednesday, November 8, 2017, 12.15-15.45, in room 405

#### Lecture 3. Free cumulants

## Wednesday, November 22, 2017, 12.15-15.45, in room 405

#### Lecture 4. Cauchy transform. Freeness of GUE and deterministic. Weingarten calculus.

Lecture notes 4 part A (preliminary version)

Lecture notes 4 part B (preliminary version)

## Wednesday, December 6. CANCELLED

#### CANCELLED (due to sickness)

## Wednesday, December 20, 2017, 12.15-15.45, in room 405

#### Lecture 5. Weingarten calculus

## Wednesday, January 10, CANCELLED

#### CANCELLED (due to sickness)

## Wednesday, January 24, 2018, 12.15-15.45, in room 405

#### Lecture 6. Representations of Lie groups and (quantum) random matrices

## Wednesday, February 7, 2018, CANCELLED

#### CANCELLED

## Wednesday, February 28, 2018, 12.15-15.45, in room 405

#### Lecture 7. Free probability of second order

(Lecture notes of very bad quality, available on email request)

## Wednesday, March 21, 2018, 12.15-15.45, in room 405

#### Lecture 8. Brown measure

## Wednesday, April 11, 2018, 12.15-15.45, in room 405

#### Lecture 9.

## Wednesday, April 25, 2018, 12.15-15.45, in room 405

#### Lecture 10.

## Wednesday, May 16, 2018, 12.15-15.45, in room 405

#### Lecture 11.

## Wednesday, June 6, 2018, 12.15-15.45, in room 405

#### Lecture 12.

## Wednesday, June 20, 2018, 12.15-15.45, in room 405. CANCELLED