Prof. Dr. Roland Speicher
Felix Leid
Non-commutative Distributions
(Summer Semester 2019)News
- There is an info sheet about the exam available.
- The written exam will be on Fri, 30.08.2019, at 9:00 st in SR 6 (Room 217 building E2.4).
- 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 non-commutative distributions of non-commuting operators or random matrices. In particular, a basic problem is to find a good approach to the meaning of “non-commutative distribution”. In particular, the lectures will cover:
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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 14-16Room: 8 (318)
Tutor Alexander Mang (alex.mang[at]t-online.de).
Mailbox 14
Exam
There will be a written exam, the most important information can be found here:Date: 30.08.2019
Time: 9:00 st -12:00 st
Room: SR 6 (217) in building E2.4
For more details see the info sheet.
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. Operator-Valued Non-Commutative Probability link
- Kaliuzhnyi-Verbovetskyi, 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
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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: Non-commutative Distributions.
Jahresber. Dtsch. Math. Ver. (2017) 119: 3. - Speicher, Roland. Combinatorial theory of the free product with amalgamation and operator-valued free probability theory. Vol. 627. Memoir of American Mathematical Soc., 1998. link
updated: 7 June 2019 Tobias Mai