Tuesday, December 15, 13:30-15:00
Marek Bożejko
Ruben Martos
Jacek Krajczok
Frank Taipe
Biswarup Das

Thursday, December 17, 10:30-12:00
Uwe Franz
Wiktor Ejsmont
Amaury Freslon
Lahcen Oussi
Haonan Zhang

Marek Bożejko Remarks on Generalized Gaussian processes and positive
definite functions on some Coxeter groups

In my talk I will present the following topic :
Strong connections between generalized Gaussian processes and some
class of positive definite functions on permutations group.

Biswarup Das Ellis joint continuity theorem for quantum groups
Wiktor Ejsmont Sums of Commutators in Free Probability

In my talk I study the linear span of commutators of free random variables and show that these are the only quadratic forms which preserve free infinite divisibility
The main combinatorial tool is an involution on non-crossing partitions.
This is a joint work with Franz Lehner.
Slides of the talk

Uwe Franz Generating functionals and Hochschild cohomology for compact quantum groups

In several papers we have given Lévy-Khintchine or Hunt-type
formulas that classify convolution semigroups and Lévy processe on
compact quantum groups using their generating functionals. In my talk I
will focus on the role of Hochschild cohomology in these works.
Slides of the talk

Amaury Freslon Diffusion of the quantum orthogonal Brownian motion

I will report on a recent work with Simeng Wang and Lucas Teyssier in which we study in detail the diffusion of the Brownian motion of Cipriani-Kula-Skalski on the free orthogonal quantum group. We compute in particular the speed of convergence to the Haar state and precisely describe the behaviour around the mixing time.
Slides of the talk

Jacek Krajczok The quantum disk is not a quantum group.

A well known result in classical topology says that one cannot
equip the unit disk with a structure of a compact group. During the talk
I will present a quantum counterpart of this result : there is no compact
quantum group structure on the C*-algebra of a quantum disk, i.e. the
Toeplitz algebra. (Joint work with Piotr Sołtan).

Ruben Martos Torsion phenomena for discrete quantum groups

We will introduce the notion of torsion for discrete quantum groups through examples of different nature. Next, we will give an overview on some recent results about its connections within KK-theory.

Lahcen Oussi Analogue of Poisson type limit distribution in discrete bm-Fock space

The analogue of ”Poisson type” limit distribution is constructed on
the discrete bm-Fock space, which is a kind of ”Fock space” generated
by all the increasing sequence in some countable partially ordered set
associated with positive symmetric cones in Euclidean spaces, including
R_+^d , the Lorentz cone in Minkowski’s spacetime and the cone of
positive definite real symmetric (d × d) matrices. (This is joint work
with J. Wysoczański).

Frank Taipe On Quantum Groupoids arising from Fell Bundles

In this talk, after a brief introduction to quantum transformation groupoids, I will present a class of compact quantum transformation groupoids arising from Fell bundles.

Haonan Zhang Complete gradient estimates of quantum Markov semigroups

In this talk I will speak about the complete gradient estimate for symmetric quantum Markov semigroups on finite von Neumann algebras, based on joint work with Melchior Wirth.