### Department of Mathematics and Systems Analysis

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* Dates within the next 7 days are marked by a star.

Dr. Tefjol Pllaha (ELEC)**Equivalence of Quantum Stabilizer Codes***** ** Wednesday 20 February 2019, 15:15, M2 (M233)

In the first part of the talk we will describe basic notions in quantum computation with a view toward error-correction. We will describe in detail Shor's 9 qubit code, and then motivate an algebraic approach to the stabilizer formalism. In the second part of the talk we will define stabilizer codes over Frobenius rings and point out why MacWilliams Extension Theorem fails in this case. The latter motivates the study of isometry groups, for which we show how to construct stabilizer codes with predetermined isometry groups. If time permits, we will end with some remarks on the LU-LC conjecture.

ANTA seminar

Marcus Greferath**Spectral Methods for Coding Theory in a non-commutative Setup**

Tuesday 26 February 2019, 15:15, M1 (M232)

In many areas of Electrical Engineering, Computer Science, and Applicable mathematics, and particularly in Algebraic Coding Theory, there are impressive examples, showing how a discrete Fourier calculus can be used in order to construct codes of prescribed minimum distance. Here, this spectral technique is basically restricted to cyclic codes over finite fields so far, however there are no strict reasons to keep it restrained to this case. This talk is particularly interested in the scenario, where a non-commutative finite group acts on the co-ordinate domain, while the alphabet of the desired code may be a finite ring. We will sketch the successful development of a Fourier Calculus for this setting and observe a few remarkable facts. This is work in progress! world.

Department Colloquium

Leah Schätzler (University of Erlangen)**Existence of variational solutions for doubly nonlinear equations of porous medium type**

Wednesday 27 February 2019, 12:15, M3 (M234)

Seminar on analysis and geometry

Cintia Pacchiano**TBA**

Wednesday 06 March 2019, 12:15, M3 (M234)

Seminar on analysis and geometry

Prof. Simon Blackburn (Royal Holloway)**The Walnut Digital Signature Algorithm**

Thursday 07 March 2019, 10:15, M3 (M234)

NOTE different day and time!
Walnut is a digital signature algorithm that was first proposed in 2017 by Anshel, Atkins, Goldfeld and Gunnells. The algorithm is based on techniques from braid group theory, and is one of the submissions for the high-profile NIST Post Quantum Cryptography standardisation process. The talk will describe Walnut, and some of the attacks that have been mounted on it. No knowledge of cryptography or the braid group will be assumed. Based on joint work with Ward Beullens (KU Leuven).

ANTA seminar

Olli Saari (University of Bonn)**TBA**

Wednesday 13 March 2019, 12:15, M3 (M234)

Seminar on analysis and geometry

Istvan Prause**TBA**

Wednesday 20 March 2019, 12:15, M3 (M234)

Seminar on analysis and geometry

Kristian Moring**TBA**

Wednesday 27 March 2019, 12:15, M3 (M234)

Seminar on analysis and geometry

Mohamed Serry (Bundeswehr University Munich)**TBA**

Wednesday 03 April 2019, 12:15, M3 (M234)

Seminar on analysis and geometry

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