Non-commutative Distributions(Summer Semester 2019)
- The room for the tutorials has benn changed to SR 8 (318).
- The lectures on Mon. 06.05.2019 and Fri. 10.05.2019 are cancelled. The next lecture will take place
on Mon. 13.05.2019.
LectureMonday 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:
For more details and updates see the blog of Roland Speicher.
Lecture notesThe lectures will be recorded and the videos will be uploaded on our video platform.
TutorialsDate & Time: Mon 14-16
Room: 8 (318)
Tutor Alexander Mang (alex.mang[at]t-online.de).
ProblemsExercise Sheet 1
Exercise Sheet 2
Exercise Sheet 3
Exercise Sheet 4
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.
- Kaliuzhnyi-Verbovetskyi, Dmitry S., and Victor Vinnikov. Foundations of free noncommutative function theory. Mathematical Surveys and Monographs, Vol. 199. American Mathematical Soc., 2014.
updated: 1 April 2019 Tobias Mai