Quantum Markov semi-groups, gradients and strong solidity. Research visit at IPM. Gradient forms and strong solidity of free quantum groups May June 14th-June 20th, He also shows that these new complete motions become the correct classical limit of the quantum mechanical solutions.

All information will be posted on Blackboard. February March 31, Absence of Cartan subalgebras for Hecke von Neumann algebras. Analysis, geometry and representation theory. Requirements for application Bas explains the purpose of this enterprise in a very convincing manner. Approximation properties of groups, quantum groups and von Neumann algebras:

Together with Erik Koelink.

## Martijn Caspers

Fourier analysis on quantum groups. Non-commutative geometry seminar and research visit with A. Quantum groups, Fourier theory and non-commutative Lp-spaces.

Noncommutative geometry and operator spaces in interaction. Amenability and paradoxality of groups. The jury report reads as follows: Workshop Non-commutative Analysis and Positivity. Under supervision of Klaas Landsman. The thesis will lead to a publication in the proceedings of the International Conference on Quantum Topology, Hanoi Workshop on quantum groups. Research visit at Paris 7. To appear in Pacific Journal of Mathematics.

Lectures covering approximation properties of operator algebras, graph products and their deformations. Theses Gerrit Vos, master thesis expected The jury was impressed by the originality of the work and the techniques developed to tackle the problem.

Vector-valued Siegel modular forms of genus 2 explicit constructions of Siegel modular forms using differential operators of Rankin-Cohen type written under the supervision of Gerard van der Geer UvA.

## Geometry and Quantum Theory (GQT)

I preprint final version. Banach Center Publications On approximation properties of quantum groups and von Neumann algebras.

Seminar, University of Warsaw. The explanations and proofs are of great clarity. His text is punctuated by enlightening comments and good examples. Applications of quantum Markov-semi-groups to von Neumann algebras and commutator estimates.

# Geometry and Quantum Theory (GQT) | Martijn Caspers

Quantum groups and noncommutative Lp-spaces. Quantum gradient estimation and its applications to quantum reinforcement learning.

Martijb One day course on “Geometry of discrete groups” summer school Utrecht Chungbuk National University, Cheongju. Noncommutative De Leeuw theorems August Gradient forms and strong solidity of free quantum groups July Quantum groups and non-commutative geometry. Gradient forms and strong solidity of free quantum groups November 2, Dynamical systems1st year course, 4th quarter.

Noncommutative De Leeuw theorems Sept 25, February March 31, Floris Elzinga, master thesis expected