Noncommutative Workshop, Cracow 9-12 September 2013

In collaboration with the Faculty of Applied Mathematics, AGH University of Science and Technology, Institute of Mathematics, Jagiellonian University, Institute of Mathematics, Polish Academy of Sciences, CNRS, Imperial College London, University of Gdansk.

Supported by Baltima

Organized by: W. Adam Majewski (Gdansk), Szymon Peszat (Cracow), and Bogusław Zegarliński (London).

The meeting will review recent results in the area of Noncommutative Analysis/Stochastic analysis, Entropy Estimates, Noncommutative Orlicz Spaces, Operator Analysis in Functional spaces,Markov Semigroups, Quantum Stochastic Processes, Information Geometry, Quantum Information...

The venue is the Institute of Mathematics, Polish Academy of Sciences, Cracow, Św. Tomasza 30/7.

List of Participants

Koenraad M.R. Audenaert, UK; Veronica Umanita, IT; Raffaella Carbone, IT;

Emanuela Sasso, IT; Anna Jencova, SK; Michael J. Kastoryano, DK;

Andrzej E. Jamiołkowski, PL; W. Adam Majewski, PL;

Tomasz Szarek, PL; Marcin Marciniak, PL; Tomasz Tylec, PL; Yin Zhi, CN;

Marek Kuś, PL; Jan Janas, PL; Szymon Peszat, PL; Andrzej Sitarz, PL;

Dariusz Chruścinski, PL; Piotr Ługiewicz, PL; Boguslaw Zegarliński, UK;

Program:

Monday 9

10 - 10.45 Andrzej E. Jamiolkowski, On applications of PI-algebras to study of open quantum systems

T&C

11 - 11.45 Dariusz Chruscinski, Witnessing non-Markovianity of quantum evolution

11.55 - 12.25

15.30 - 16.15 Michael J. Kastoryano, Rapid mixing and exponential decay of correlations in open quantum systems

T&C

16.35 - 17.20 W. Adam Majewski, On applications of Orlicz Spaces to Statistical Physics

17.40 - 18.10 Marek Kus, TBA

18.15 - 20 TBA + Discussion groups

Tuesday 10

10- 10.45 Raffaella Carbone, Logarithmic-Sobolev inequalities and uniform exponential entropy decay in non-commutative algebras.

T&C

11 - 11.45 Boguslaw Zegarlinski, On monotone Orlicz functionals and norms

11.55 - 12.25 Tomasz Tylec, Remarks on the structure of the set of positive unital maps between low dimensional matrix algebras

12.30 - 12.55

15.30 - 16.15 Koenraad M.R. Audenaert, Quantum Skew Divergence: a modification of the quantum relative entropy and its applicationsﾠ

T&C

16.35 - 17.20 Anna Jencova, Reversibility conditions for quantum operations

18.15 - 20 TBA + Discussion groups

Wednesday 11

10 - 10.45 Marcin Marciniak, Description of correlation boxes in terms of operator systems

T&C

11 - 11.45 Andrzej Sitarz, Spectral action for noncommutative spaces.

12 - 12.25

14 - 20 TBA + Cultural/Touristic Activities/ Conference Dinner

Thursday 12

10 - 10.45 Veronica Umanita, Decoherence and asymptotic behavior of Generic Quantum Markov Semigroups

11 - 11.45 Piotr Lugiewicz, The notion of quantum Markov semigroup in the non-linear setting.

12 - 12.25 ﾠYin Zhi, Sobolev spaces on quantum tori ﾠﾠﾠﾠﾠ

14.00 - 14.45 Tomasz Szarek, TBA

15.00 - 15.45 Szymon Peszat, TBA

T&C

16.15 - 20 TBA + Discussion groups