Workshop "Algebraic and Analytic Aspects of Quantum Lévy Processes"
9. bis 13. March 2015 at the Alfried Krupp Wissenschaftskolleg in Greifswald
ORGANIZERS:Uwe Franz, Volkmar Liebscher, Michael Schürmann
In this workshop we want to discuss recent progress and open problems related to Quantum Lèvy processes, i.e. quantum stochastic processes with stationary and independent increments. Central topics will be:
- Lévy processes on algebraic structures
- Classi cation of noncommutative independence and corresponding Lévy processes
- Lévy processes with category theory
- Lévy processes and product systems
- Lévy processes under the transformation of the coproduct
- Analytic theory of quantum Lévy processes
- Markov semigroups of Lévy processes on compact quantum groups, their Dirichlet forms, and their potential theory
- Relations to random matrix theory
Participants
- Marek Bozejko (Wroclaw)
- Martijn Caspers (Münster)
- Biswarup Das (Warsaw)
- Franco Fagnola (Milano)
- Uwe Franz (Besancon)
- Malte Gerhold (Greifswald)
- Rolf Gohm (Aberystwith)
- Takahiro Hasebe (Sapporo)
- Souleiman Omar Hoche (Besancon)
- Robin Hudson (Loughborough)
- Claus Koestler (Cork)
- Stephanie Lachs (Greifswald)
- Romuald Lenczewski (Wroclaw)
- Volkmar Liebscher (Greifswald)
- Tobias Mai (Saarbrücken)
- Naofumi Muraki (Iwate)
- Yuchen Pei (Warwick University)
- Michael Schürmann (Greifswald)
- Adam Skalski (Warsaw)
- Michael Skeide (Campobasso)
- Piotr Soltan (Warsaw)
- Pierre Tarrago (Saarbrücken)
- Michael Ulrich (Besancon, Greifswald)
- Carlos Vargas (Saarbrücken, Graz)
- Roland Vergioux (Caen)
- Jonas Wahl (Saarbrücken)
- Wilhelm von Waldenfels (Heidelberg)
- Moritz Weber (Saarbrücken)
- John Williams (Texas)
- Stephen Wills (Cork)
- Janusz Wysoczanski (Wroclaw)
Conference Venue Alfried Krupp Wissenschaftskolleg Greifswald Martin-Luther-Straße 14 ∙ D-17489 Greifswald
The international conference is funded by the Alfried Krupp von Bohlen und Halbach-Stiftung, Essen, and the German Research Foundation, Bonn. The Alfried Krupp Wissenschaftskolleg is an academically independent institution sponsored by the Stiftung Alfried Krupp Kolleg Greifswald.
Slides of Talks
- Takahiro Hasebe: Positive Lévy processes in classical and free probability
- Fumio Hiai: Anti Lie-Trotter formula
- Franco Fagnola: Structure of Norm Continuous Quantum Markov Semigroups
- Robin Hudson: Unitary quantum stochastic double product integrals as implementors of Bogolubov transformations
- Piotr Sołtan: Quantum Automorphism Groups of Finite Quantum Groups
- Michael Skeide: On Totality of Certain Sets of Exponential Vectors