Address

Laboratoire de mathématiques de Besançon

Université de Franche-Comté

16, route de Gray

25 030 Besançon cedex, France

Phone. : + 33 (0)3 81 66 63 17

Fax (Secretary) : + 33 (0)3 81 66 66 23

Email : uwe.franz AT univ-fcomte.fr

https://orcid.org/0000-0001-8586-8025

Interests

• The notion of independence in noncommutative probability, free, monotone, and boolean independence and convolutions

• Quantum stochastic processes with independent and stationary increments (quantum Lévy processes)

• Compact and locally compact quantum groups, probability on quantum groups

• Dual groups, probability on dual groups

• Quantum stochastic calculus, Wigner functions, regularity of solutions of quantum stochastic differential equations, and applications to physics (quantum Malliavin calculus)

News

• I gave a short suvey on `Probability on Quantum groups’ in Teo Banica’s Quantum Groups Seminar on July 7, 2020. Here are the slides.

• Our functional analysis group obtained an I-Site project for 2017-2020, see NC-Geom-FA.

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Previous Events

• We organised a Fall School on Multipliers in NC analysis and their applications in November 18-22, 2019.

• On the occasion of Isabelle Baraquin’s Ph.D. defence in July 2019, we organised the Journées thématiques : Groupes quantiques et probabilités.

• Mini-Workshop on "Cohomology of Compact Quantum Groups and Related Topics" on March 21-22, 2019.

• Workshop Interactions between Operator Space Theory and Quantum Probability with Applications to Quantum Information at the MFO, 6 - 12 mai 2018.

• Journée "Analyse Fonctionnelle et Information Quantique", Lundi 27 novembre, 11h-17h, salle 324-2B.

• Proceedings of 2014 Winter school in Métabief published.

• Co-organised the conference Topological quantum groups and harmonic analysis, May 15-19, 2017, in Korea.

• Co-organised the conference "Compact Quantum Groups" at the Alfried Krupp Wissenschaftskolleg Greifswald, Germany, with Malte Gerhold, Adam Skalski and Moritz Weber, July 11-15, 2016

• Organised the 2ème journée Probabilités Quantiques Besançon-Greifswald, February 5, 2016.

• Co-organized a school on Topological Quantum Groups with Adam Skalski and Piotr Sołtan at the Conference Center of the Institute of Mathematics of the Polish Academy of Sciences in Będlewo, Poland, 28 June - 11 July, 2015.

• Co-organized a workshop on Algebraic and Analytic Aspects of Quantum Lévy Processes with Volkmar Liebscher and Michael Schürmann at the Alfried Krupp Wissenschaftskolleg Greifswald, 9 – 13 March 2015.

• Co-organiser of the trimestre Autumn 2014 : Geometric and noncommutative methods in functional analysis, in particular main organiser of the Winter School on Operator Spaces, Noncommutative Probability and Quantum Groups, Autumn 2014.

• Senior fellow at the Alfried Krupp Wissenschaftskolleg Greifswald, April - September 2014

• Research in Pairs with Anna Kula, Martin Lindsay, and Michael Skeide at the MFO, Oberwolfach, Germany, February 23 - March 8, 2014.

• Co-organized a meeting on Probabilités Quantiques : Théorie et Applications (QP33) at the CIRM, Luminy, with René Schott and Luigi Accardi, 1 - 5 October 2012.

• Co-organized a conference and school on Product Systems and Independence in Quantum Dynamics at the Alfried Krupp Wissenschaftskolleg Greifswald with Volkmar Liebscher, Michael Schürmann and Michael Skeide, 7 - 18 March 2011.

• Mini-Workshop Product Systems and Independence in Quantum Dynamics at Mathematisches Forschungszentrum Oberwolfach February 15 - 21, 2009

• Research in Pairs with Rolf Gohm, Adam Skalski, and Reiji Tomatsu at the MFO, Oberwolfach, Germany, 7 - 20 September, 2008.

• Visited the Graduate School of Information Sciences, Tohoku University, from November 2006 to November 2008 as Marie-Curie fellow.

• School "Quantum Potential Theory : Structure and Applications to Physics" at the Alfried Krupp Wissenschafts Kolleg Greifswald, February 26 - March 10, 2007. Lecture Notes appeared as Springer Lecture Notes in Mathematics Volume 1954

• School "Quantum independent increment processes : Structure and Applications to Physics" at the Alfried Krupp Wissenschafts Kolleg Greifswald, funded by the VolkswagenStiftung, March 9 - 23, 2003. Lecture Notes appeared as Springer Lecture Notes in Mathematics, Vol. 1865 and Springer Lecture Notes in Mathematics, Vol. 1866.