Universität Bonn

Workshop on Finite Weyl-Heisenberg Groups in mathematics, quantum physics, and engineering


Feburary 22-24, 2016

HIM Lecture Hall,  Poppelsdorfer Allee 45

Organizers: 

David Gross, Götz Pfander

Description:

Finite Weyl-Heisenberg theory plays an important role in a variety of contexts. These include time-frequency analysis, Gabor theory, phase space methods in quantum information theory, as well as mobile communication and radar applications. While similar mathematical problems appear in all these fields, the exchange of ideas between mathematicians, physicists, and engineers working on finite Weyl-Heisenberg theory has been hampered by differences in jargon and publication habits. This meeting brought together leading members of these communities in order to facilitate closer interdisciplinary collaborations.


Schedule

Monday, February 22

13:30 - 14:10 Registration
14:10 - 14:25 Opening / Introduction round of speakers
14:25 - 15:10 Ingemar Bengtsson: Weyl-Heisenberg groups in quantum mechanics
15:15 - 16:00 Peter Jung: Some Aspects of Weyl-Heisenberg Signal Design in Wireless Communication
16:00 - 16:30 Tea and cake
16:30 - 17:15 Franz Luef: The finite Heisenberg group in noncommutative geometry
17:20 - 18:05 Palina Salanevich: Geometric properties of a finite dimensional Gabor frame in phase retrieval
19:00 Dinner — Restaurant: Gasthaus im Stiefel (Directions)
A group will walk from HIM, leaving at 6:45 pm.

Tuesday, February 23

9:30 - 10:15 Marcus Appleby: Number theoretic features of a SIC
10:15 - 11:00 Group photo and coffee break
11:00 - 11:45 Werner Kozek: Two selected applications of the WH group in automotive engineering
11:45 - 14:25 Lunch break
14:25 - 15:10 Romanos Malikiosis: Full spark Gabor frames in finite dimensions
15:15 - 16:00 Felix Krahmer: The Restricted Isometry Property for Random Gabor Synthesis Matrices
16:00 - 16:30 Tea and cake
16:30 - 17:15 Huangjun Zhu: Discrete Wigner function and super-symmetric frames
17:20 - 18:05 Open problems session

Wednesday, February 24

9:30 - 10:15 David Gross: The Toric Code: Finite WH meets Topological Order
10:15 - 11:00 Coffee break
11:00 - 12:00 Discussion
12:00 - 14:00 Lunch break
14:00 - 16:00 Work in Groups
16:00 - 16:45 Tea and cake
16:45 Summary and Closing

Participants

Person
Affiliation
Period of stay
Luis Daniel Abreu Austrian Academy of Sciences
Marcus Appleby University of Sydney
Ingemar Bengtsson Stockholms Universitet
Holger Boche Technische Universität München
Jean-Luc Bouchot RWTH Aachen University
Claire Boyer Institut de Mathématiques de Toulouse (IMT)
Simone Brugiapaglia Politecnico di Milano
Tatiana Alessandra Bubba University of Ferrara
Maria Charina University of Vienna
Christine De Mol Université Libre de Bruxelles
Sjoerd Dirksen RWTH Aachen University
Marco Donatelli University of Insubria
Jonathan Fell RWTH Aachen University
Massimo Fornasier Technische Universität München
Arash Ghaani Farashahi University of Vienna
Ilaria Giulini INRIA Saclay
David Gross University of Cologne
Karlheinz Gröchenig Universität Wien
Markus Hansen Technische Universität München
Thang Huynh New York University
Peter Jung Technische Universität Berlin
Dominik Jüstel Technische Universität München
Maryia Kabanava RWTH Aachen University
Illia Karabash University of Lübeck
Sandra Keiper Technische Universität Berlin
Pavel Kharyuk Lomonosov Moscow State University
Emily King Universität Bremen
Werner Kozek Supremum Solutions
Felix Krahmer Technische Universität München
Christian Kümmerle Technische Universität München
Richard Küng Universität zu Köln
Roy R. Lederman Princeton University
Franz Luef Norwegian University of Science and Technology
Romanos Diogenis Malikiosis Technische Universität Berlin
James Murphy University of Maryland / Duke University
Valeriya Naumova Simula Research Laboratory AS
Götz Pfander Jacobs University
Maksim Rakhuba Moscow Institute of Physics and Technology
Holger Rauhut RWTH Aachen
Rayan Saab University of California, San Diego
Palina Salanevich Jacobs University Bremen
Michael Sandbichler University of Innsbruck
Karin Schnass University of Innsbruck
Zeljka Stojanac RWTH Aachen University
Alexander Stollenwerk RWTH Aachen University
Joachim Stöckler Technische Universität Dortmund
Ezra Tampubolon Technische Universität München
Ulrich Terstiege RWTH Aachen University
Frank Vallentin Universität zu Köln
Philipp Walk California Institute of Technology
Yin Xian Duke University
Hulya Yadsan-Appleby University College London
Huangjun Zhu Universität zu Köln
Wird geladen