16:49

Probability on compact groups

19:35

Representations of compact groups

17:46

Complex reflections and Bessel laws

12:46

Symmetric groups and Poisson laws

17:14

Symmetry and reflection groups

15:35

Groups of unitary matrices

17:02

Special matrices and matrix tricks

18:43

Infinite matrices and spectral theory

19:29

Linear algebra and calculus questions

19:18

Complex matrices and diagonalization

19:02

The determinant of real matrices

19:28

Real matrices and their properties

42:14

Wigner and Wishart random matrices

42:17

Quantum algebra and free Bessel laws

42:27

Classical and free limiting theorems

44:39

Operator algebras and free probability

45:30

Groups and Weingarten integration

45:52

The normal and Poisson laws

18:35

Subfactors of small index and big index

17:30

Commuting squares, vertex and spin models

19:03

Planar algebras and spectral measures

18:24

Group actions and fixed point subfactors

18:39

Subfactors and the Temperley-Lieb algebra

19:58

Von Neumann algebras and factors

08:59

Spectral measures and beyond

09:18

Quantum algebra explained

09:24

Von Neumann algebras

08:46

C*-algebra basics

09:13

Basic spectral theory

09:45

Hilbert spaces and operators

37:23

Homogeneous spaces and easy manifolds

35:16

Noncommutative integration theory

34:17

Basic noncommutative geometries

36:09

Noncommutative algebraic geometry

37:18

Quantum isometries and reflections

36:02

Noncommutative spheres and tori

24:09

Hadamard matrix models

25:15

Almost Hadamard matrices

25:21

Bistochastic Hadamard matrices

25:39

Deformed Hadamard matrices

27:38

Complex Hadamard matrices

27:42

The Hadamard conjecture

53:14

Orientability, toral subgroups and matrix models

58:43

Quantum permutations and quantum reflections

58:25

Tannakian duality, diagrams and easiness

57:27

Haar measure and Peter-Weyl theory

52:39

Compact and discrete quantum groups

58:19

Operator algebras and noncommutative spaces