# Seventh Summer School in Operator Theory

When |
Jul 09, 2018 09:00 AM
to
Jul 14, 2018 09:00 PM |
---|---|

Where | Department of Mathematics, NKUA |

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The Department of Mathematics of the National and Kapodistrian University of Athens and the Department of Mathematics of the University of the Aegean will organise the Seventh Summer School in Operator Algebra Theory in Athens, between the 9rd and the 14th of July 2018.

The School is for graduate and undergraduate students, PhD students and junior researchers, and aims in presenting the research area of Operator Algebra Theory, as well as its interaction with other fields in modern mathematics.

The subject areas of the school include:

✓ An Introduction to the theory of Operator Spaces, Operator Systems and Operator Algebras. Completely positive maps, Kraus decomposition.

✓ Representations and completely positive maps of C* algebras, Stinespring's theorem, Arveson's extension theorem.

✓ Classical and quantum states. Multipartite quantum systems, tensor products. Entangled and separable states, classical and quantum correlations.

✓ Entropy in classical and quantum systems. Von Neumann entropy, Renyi entropy. Entropy and entangled states.

✓ High-dimensional geometry, concentration of measure, geometric properties of the set of separable states.

✓ Introduction to classical and quantum information theory. Operator systems and "non-commutative graphs". Introduction to (quantum) zero-error information theory.

A parallel workshop in the area will be organised. Priority will be given to young researchers.

Talks will take place in the Department of Mathematics of the University of Athens, in Lecture Room Amf24 (2nd floor; entry by the central gate of the Department of Mathematics).

**Speakers**

M. Anoussis, University of the Aegean

D. Gatzouras, NKUA

A. Giannopoulos, NKUA

E. Kakariadis, Newcastle University, UK

A. Katavolos, NKUA

I.G. Todorov Queen's University Belfast, UK

For more information, please contact:

M. Anoussis (Aegean), mano@aegean.gr

D. Gatzouras (Athens), dgatzouras@math.uoa.gr

A. Katavolos (Athens), akatavol@math.uoa.gr