Prof. Dr. Roland Speicher
Felix Leid
Noncommutative Distributions
(Summer Semester 2019)News
 There are handwritten lecture notes online available
Lecture
Monday and Friday, 12:00  13:30, Lecture Hall IV, Building E2 4
The lectures will present some of the main progress which we made in recent years concerning our investigations of noncommutative distributions of noncommuting operators or random matrices. In particular, a basic problem is to find a good approach to the meaning of “noncommutative distribution”. In particular, the lectures will cover:

Lecture announcement
For more details and updates see the blog of Roland Speicher.
Lecture notes
The lectures will be recorded and the videos will be uploaded on our video platform.Tutorials
Date & Time: Mon 1416Room: 8 (318)
Tutor Alexander Mang (alex.mang[at]tonline.de).
Mailbox 14
Problems
Exercise Sheet 1Exercise Sheet 2
Exercise Sheet 3
Exercise Sheet 4
Exercise Sheet 5
Exercise Sheet 6
Exercise Sheet 7
Exercise Sheet 8
Exercise Sheet 9
References
 L.A. Harris: Fixed Points of Holomorphic Mappings for Domains in Banach Spaces. Abstract and Applied Analysis, 2003 link
 D. Jekel. OperatorValued NonCommutative Probability link
 KaliuzhnyiVerbovetskyi, Dmitry S., and Victor Vinnikov. Foundations of free noncommutative function theory. Mathematical Surveys and Monographs, Vol. 199. American Mathematical Soc., 2014.
 S. Krantz: The Caratheodory and Kobayashi Metrics and Applications in Complex Analysis. The American Mathematical Monthly, 2008 link

James A. Mingo, Roland Speicher: Free Probability and Random Matrices.
Fields Institute Monographs, Vol. 35, Springer, New York, 2017. 
Roland Speicher: Free Probability Theory; and its Avatars in Representation Theory,
Random Matrices, and Operator Algebras; also Featuring: Noncommutative Distributions.
Jahresber. Dtsch. Math. Ver. (2017) 119: 3.  Speicher, Roland. Combinatorial theory of the free product with amalgamation and operatorvalued free probability theory. Vol. 627. Memoir of American Mathematical Soc., 1998. link
updated: 7 June 2019 Tobias Mai