Quantum Symmetries in Free Probability

Mini-workshop in Saarbrücken, 31 March - 4 April, 2014

Funded by the ERC Advanced Grant Non-Commutative Distributions in Free Probability

Organized by Roland Speicher and Moritz Weber.

Participants
Accommodation
Schedule
Talks & Abstracts
Aim of the workshop


(a larger version of the group picture may be found here)

Participants


Accommodation

All participants are accommodated in Hotel Madeleine downtown Saarbruecken. Fur further information
how to get to the hotel and how to get to the math department, see our webpage with information for visitors.

Schedule

Each talk consists of 50 minutes plus 10 minutes discussion. All lectures take place in lecture hall III,
building E2 5. The coffee breaks and the reception are one floor down in the basement. The seminar rooms
Zeichensaal, Seminarraum 1 and Seminarraum 2 (in the basement) can be used for private discussions
during the conference.

Here is a pdf version of the schedule (will be distributed in printed form also during the reception).

Monday, 31 March
12:00
1:00 pm
2:00 pm

3:00 pm
3:30 pm

4:30 pm
Reception in the basement of building E2 5
Lunch
Julien Bichon
Orthogonal quantum groups: examples and some classification results
Coffee
Jyotishman Bhowmick
Quantum isometry groups for group C*-algebras
Michael Brannan
Quantum groups and generalized circular operators

Tuesday, 1 April
10:00 am

11:00 am
11:30 am
12:00

1:00 pm
2:00 pm

3:00 pm
3:30 pm

4:30 pm
Moritz Weber
Partitions and quantum groups - introduction into easy quantum groups and their classification
Coffee
Problems
Amaury Freslon
What is a free quantum group ?
Lunch
Claus Köstler
De Finetti type theorems in free probability and beyond
Coffee
Pierre Tarrago
Classification and stochastic results on the unitary easy quantum groups
Private Discussions

Wednesday, 2 April
10:00 am

11:00 am
11:30 am
12:00

1:00 pm
2:00 pm
7:00 pm
Roland Vergnioux
Cocycles on free quantum groups
Coffee
Problems
Christian Voigt
The K-theory of quantum permutation groups
Lunch
Free afternoon/Excursion to the Völklinger Hütte (see also here)
Dinner at Haus Brück

Thursday, 3 April
10:00 am

11:00 am
11:30 am
12:00

1:00 pm
2:00 pm

3:00 pm
3:30 pm

4:30 pm
Uwe Franz
Random walks and Lévy processes on the free permutation quantum group
Coffee
Problems
Adam Skalski
Quantum symmetry groups and certain categories of two-coloured partitions
Lunch
François Lemeux
Operator algebraic properties for free wreath product by quantum permutation groups
Coffee
Jonas Wahl
Simplicity and uniqueness of the trace of reduced free wreath products
Private Discussions

Friday, 4 April
10:00 am

11:00 am
11:30 am

12:30 pm
1:00 pm
2:00 pm
Piotr Sołtan
Embeddable quantum homogeneous spaces
Coffee
Kenny de Commer
Universal quantum groupoids
Roland Speicher
Lunch
End of the workshop


Talks & Abstracts


Aim of the workshop

The study of the so called easy quantum groups, begun by Banica and Speicher in 2009, has attracted
a lot of attention in the context of free probability. The reasons are that this class of quantum groups
is determined by the combinatorics of partitions, the envelopping von Neumann algebras have potential
links to the free group factor problem, and the stochastic aspects of easy quantum groups share free
probabilistic properties.
But most striking: Easy quantum groups seem to be the right symmetries for distributions in the context
of free probability (see for instance Köstler-Speicher's de Finetti theorem).

The aim of this kick-off workshop is to collect the present knowledge on easy quantum groups and their
relations to free probability theory, but explicitely also to go beyond it answering the question:

What are the (quantum) symmetries in free probability?

Our aim is to have more a workshop character rather than a conference. This implies to have some
problem sessions, more time for private discussions around the talks and more emphasis on future questions
- maybe even speculative ones - rather than on presenting existing results.

More specific, we try to cover the following tasks:



Updated: 5 May 2014   Moritz Weber Impressum