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QUANTUM DYNAMICS SIGNED

New Geometry of Quantum Dynamics

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EC-Contrib. €

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Project "QUANTUM DYNAMICS" data sheet

The following table provides information about the project.

Coordinator
INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK 

Organization address
address: UL. SNIADECKICH 8
city: WARSZAWA
postcode: 00 956
website: http://www.impan.gov.pl

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Poland [PL]
 Project website https://www.impan.pl/en/activities/international-programs/current-programs/quantum-dynamics
 Total cost 589˙500 €
 EC max contribution 288˙000 € (49%)
 Programme 1. H2020-EU.1.3.3. (Stimulating innovation by means of cross-fertilisation of knowledge)
 Code Call H2020-MSCA-RISE-2015
 Funding Scheme MSCA-RISE
 Starting year 2016
 Duration (year-month-day) from 2016-01-01   to  2019-12-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK PL (WARSZAWA) coordinator 162˙000.00
2    SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE IT (TRIESTE) participant 27˙000.00
3    KOBENHAVNS UNIVERSITET DK (KOBENHAVN) participant 22˙500.00
4    UNIWERSYTET LODZKI PL (LODZ) participant 22˙500.00
5    UNIWERSYTET WARSZAWSKI PL (WARSZAWA) participant 22˙500.00
6    VRIJE UNIVERSITEIT BRUSSEL BE (BRUSSEL) participant 13˙500.00
7    UNIVERSITY OF GLASGOW UK (GLASGOW) participant 9˙000.00
8    THE UNIVERSITY COURT OF THE UNIVERSITY OF ABERDEEN UK (ABERDEEN) participant 4˙500.00
9    WESTFAELISCHE WILHELMS-UNIVERSITAET MUENSTER DE (MUENSTER) participant 4˙500.00
10    REGENTS OF THE UNIVERSITY OF COLORADO US (Boulder CO) partner 0.00
11    THE AUSTRALIAN NATIONAL UNIVERSITY AU (CANBERRA) partner 0.00
12    The Fields Institute for Research in Mathematical Sciences CA (Toronto) partner 0.00
13    The Pennsylvania State University US (University Park) partner 0.00
14    THE REGENTS OF THE UNIVERSITY OF CALIFORNIA US (OAKLAND CA) partner 0.00
15    THE RESEARCH FOUNDATION OF STATE UNIVERSITY OF NEW YORK US (ALBANY NY) partner 0.00
16    UNIVERSIDAD MICHOACANA DE SAN NICOLAS HIDALGO MX (Morelia) partner 0.00
17    UNIVERSITY OF DENVER COLORADO SEMINARY US (DENVER) partner 0.00
18    UNIVERSITY OF KANSAS CENTER FOR RESEARCH, INC US (LAWRENCE KS) partner 0.00
19    UNIVERSITY OF NEW BRUNSWICK CA (FREDERICTON) partner 0.00
20    UNIVERSITY OF OTAGO NZ (DUNEDIN) partner 0.00
21    University of Wollongong AU (WOLLONGONG NSW) partner 0.00

Map

 Project objective

The Project aims to make significant advances to the field of noncommutative geometry by developing new methods through substantial interaction within sub-fields of noncommutative geometry and two other areas of pure mathematics. The main focus will be to determine the topological non-triviality of new types of quantum fibrations. Also, we aim to construct quantum metric geometries of crossed products and graph algebras relating the Lipschitz-norm and Dirac-operator approaches. The Project will combine various areas, which although interacting on the fundamental level, have had their concrete and usable connections mostly unexplored.

The success of the Project depends on connecting centres of excellence in relevant topics for the exchange of ideas and and production of high-quality collaborative results. The network has been carefully chosen to include the world's leading experts as well as promising early career researchers. Not only does this guarantee the participants access to an enormous knowledge base, it will also ensure that new and innovative lines of research will continue to be developed long after the Project has finished.

In particular, the collaborative nature of the project will be of great benefit to the early career researchers involved. In pure mathematics, fields often become so specialised that only a small number of people around the world might be actively researching a particular topic. This can make career progression very difficult. The interdisciplinary nature of the Project will expose the participants to a host of new mathematics and new collaborations. Consequently, this diversification will result in significantly more career opportunities than would otherwise be available.

 Deliverables

List of deliverables.
Proceedings (Noncommutative spectral geometry for quantum group homogeneous spaces) Other 2020-04-23 02:03:34
Proceedings (Noncommutative metric geometry of C*-dynamical systems and graph C*-algebras) Other 2020-04-23 02:03:34
Special issue (Noncommutative spectral geometry for quantum group homogeneous spaces) Other 2020-04-23 02:03:33
Dissemination: NCG seminar (Noncommutative Borsuk–Ulam-type conjectures) Other 2020-04-23 02:03:33
Focus programme (Noncommutative metric geometry of C*-dynamical systems and graph C*-algebras) Other 2020-04-23 02:03:33
Progress report 2 (Management) Documents, reports 2020-04-23 02:03:33
Special issue (Noncommutative Borsuk–Ulam-type conjectures) Other 2020-04-23 02:03:33
Research papers (Noncommutative bordism of quantum fibrations) Other 2020-04-23 02:03:33
Research papers (Noncommutative Borsuk–Ulam-type conjectures) Other 2020-04-23 02:03:33
Special issue (Noncommutative bordism of quantum fibrations) Other 2020-04-23 02:03:33
Focus programme (Noncommutative Borsuk–Ulam-type conjectures) Other 2020-04-23 02:03:33
Dissemination: NCG seminar (Noncommutative metric geometry of C*-dynamical systems and graph C*-algebras) Other 2020-04-23 02:03:34
Focus programme (Trimming and growing of graphs for graph algebras) Other 2020-04-23 02:03:34
Dissemination: NCG seminar (Noncommutative spectral geometry for quantum group homogeneous spaces) Other 2020-04-23 02:03:33
Dissemination: NCG seminar (Trimming and growing of graphs for graph algebras) Other 2020-04-23 02:03:34
Focus programme (Noncommutative spectral geometry for quantum group homogeneous spaces) Other 2020-04-23 02:03:33
Special issue (Noncommutative metric geometry of C*-dynamical systems and graph C*-algebras) Other 2020-04-23 02:03:33
Proceedings (Noncommutative Borsuk–Ulam-type conjectures) Other 2020-04-23 02:03:34
Focus programme (Noncommutative bordism of quantum fibrations) Other 2020-04-23 02:03:33
Research papers (Trimming and growing of graphs for graph algebras) Other 2020-04-23 02:03:33
Dissemination: NCG seminar (Noncommutative bordism of quantum fibrations) Other 2020-04-23 02:03:33
Special issue (Trimming and growing of graphs for graph algebras) Other 2020-04-23 02:03:34
Research papers (Noncommutative spectral geometry for quantum group homogeneous spaces) Other 2020-04-23 02:03:33
Research papers (Noncommutative metric geometry of C*-dynamical systems and graph C*-algebras) Other 2020-04-23 02:03:33
Proceedings (Trimming and growing of graphs for graph algebras) Other 2020-04-23 02:03:34
Proceedings (Noncommutative bordism of quantum fibrations) Other 2020-04-23 02:03:34
Simons Semester at the Banach Center (Noncommutative bordism of quantum fibrations) Other 2020-04-23 02:03:33
Simons Semester at the Banach Center (Noncommutative Borsuk–Ulam-type conjectures) Other 2020-04-23 02:03:33
Simons Semester at the Banach Center (Trimming and growing of graphs for graph algebras) Other 2020-04-23 02:03:32
Simons Semester at the Banach Center (Noncommutative spectral geometry for quantum group homogeneous spaces) Other 2020-04-23 02:03:33
Progress report (Management) Documents, reports 2020-04-23 02:03:33
Simons Semester at the Banach Center (Noncommutative metric geometry of C*-dynamical systems and graph C*-algebras) Other 2020-04-23 02:03:32
Dedicated Web page (Management) Websites, patent fillings, videos etc. 2020-04-23 02:03:33

Take a look to the deliverables list in detail:  detailed list of QUANTUM DYNAMICS deliverables.

 Publications

year authors and title journal last update
List of publications.
2015 Paul F. Baum, Ludwik DÄ…browski, Piotr M. Hajac
Noncommutative Borsuk-Ulam-type conjectures
published pages: 9-18, ISSN: 0137-6934, DOI: 10.4064/bc106-0-1
Banach Center Publications 106 2020-04-24
2018 Masoud Khalkhali, Andrzej Sitarz
Gauss-Bonnet for matrix conformally rescaled Dirac
published pages: 63505, ISSN: 0022-2488, DOI: 10.1063/1.4997381
Journal of Mathematical Physics 59/6 2020-04-23
2019 Albert Jeu-Liang Sheu
Projections over quantum homogeneous odd-dimensional spheres
published pages: 3491-3512, ISSN: 0022-1236, DOI: 10.1016/j.jfa.2019.05.006
Journal of Functional Analysis 277/10 2020-04-23
2018 Franziska Kraken, Paula Quast, Thomas Timmermann
Partial actions of $C^{*}$ -quantum groups
published pages: 843-872, ISSN: 1735-8787, DOI: 10.1215/17358787-2017-0056
Banach Journal of Mathematical Analysis 12/4 2020-04-23
2018 Søren Eilers, Gunnar Restorff, Efren Ruiz, Adam P.W. Sørensen
Geometric Classification of Graph C*-algebras over Finite Graphs
published pages: 294-353, ISSN: 0008-414X, DOI: 10.4153/cjm-2017-016-7
Canadian Journal of Mathematics 70/2 2020-04-23
2018 Kenny De Commer
I-factorial quantum torsors and Heisenberg algebras of quantized universal enveloping type
published pages: 152-221, ISSN: 0022-1236, DOI: 10.1016/j.jfa.2017.09.005
Journal of Functional Analysis 274/1 2020-04-23
2019 Ludwik DÄ…browski, Andrzej Sitarz
Fermion masses, mass-mixing and the almost commutative geometry of the Standard Model
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep02(2019)068
Journal of High Energy Physics 2019/2 2020-04-23
2018 Carla Farsi, Elizabeth Gillaspy, Palle Jorgensen, Sooran Kang, Judith Packer
Representations of higher-rank graph C⁎-algebras associated to Λ-semibranching function systems
published pages: 766-798, ISSN: 0022-247X, DOI: 10.1016/j.jmaa.2018.08.051
Journal of Mathematical Analysis and Applications 468/2 2020-04-23
2018 Søren Eilers, Gunnar Restorff, Efren Ruiz, Adam P.W. Sørensen
Filtered K-theory for graph algebras
published pages: 229–249, ISSN: , DOI:
MATRIX Book Series 1 2020-04-23
2018 Marc A. Rieffel
Vector bundles for “Matrix algebras converge to the sphere”
published pages: 181-204, ISSN: 0393-0440, DOI: 10.1016/j.geomphys.2018.06.003
Journal of Geometry and Physics 132 2020-04-23
2018 Konrad Aguilar, Jens Kaad
The PodleÅ› sphere as a spectral metric space
published pages: 260-278, ISSN: 0393-0440, DOI: 10.1016/j.geomphys.2018.07.015
Journal of Geometry and Physics 133 2020-04-23
2017 Albert Jeu-Liang Sheu
Projective Modules Over Quantum Projective Line
published pages: 1750022, ISSN: 0129-167X, DOI: 10.1142/s0129167x17500227
International Journal of Mathematics 28/03 2020-04-23
2020 Kristin Courtney, Tatiana Shulman
Free products with amalgamation over central $mathrm {C}^*$-subalgebras
published pages: 765-776, ISSN: 0002-9939, DOI: 10.1090/proc/14746
Proceedings of the American Mathematical Society 148/2 2020-04-23
2017 Ludwik DÄ…browski
On Noncommutative Geometry of the Standard Model: Fermion Multiplet as Internal Forms
published pages: , ISSN: , DOI:
Geometric Methods in Physics XXXVI 2020-04-23
2018 Jacopo Bassi, Ludwik DÄ…browski
Spectral triples on the Jiang-Su algebra
published pages: 53507, ISSN: 0022-2488, DOI: 10.1063/1.5026311
Journal of Mathematical Physics 59/5 2020-04-23
2018 SARA E. ARKLINT, SØREN EILERS, EFREN RUIZ
A dynamical characterization of diagonal-preserving -isomorphisms of graph -algebras
published pages: 2401-2421, ISSN: 0143-3857, DOI: 10.1017/etds.2016.141
Ergodic Theory and Dynamical Systems 38/7 2020-04-23
2018 Benjamin W Passer
Triviality of equivariant maps in crossed products and matrix algebras
published pages: 289-303, ISSN: 0033-5606, DOI: 10.1093/qmath/hay044
The Quarterly Journal of Mathematics 70/1 2020-04-23
2019 Frédéric Latrémolière
Convergence of Cauchy sequences for the covariant Gromov–Hausdorff propinquity
published pages: 378-404, ISSN: 0022-247X, DOI: 10.1016/j.jmaa.2018.09.018
Journal of Mathematical Analysis and Applications 469/1 2020-04-23
2017 Frédéric Latrémolière, Judith Packer
Noncommutative solenoids and the Gromov-Hausdorff propinquity
published pages: 2043-2057, ISSN: 0002-9939, DOI: 10.1090/proc/13229
Proceedings of the American Mathematical Society 145/5 2020-04-23
2018 Ludwik Dąbrowski, Francesco D’Andrea, Andrzej Sitarz
The Standard Model in noncommutative geometry: fundamental fermions as internal forms
published pages: 1323-1340, ISSN: 0377-9017, DOI: 10.1007/s11005-017-1036-x
Letters in Mathematical Physics 108/5 2020-04-23
2016 Elmar Wagner
Representations of quantum SU(2) operators on a local chart
published pages: 12053, ISSN: 1742-6588, DOI: 10.1088/1742-6596/670/1/012053
Journal of Physics: Conference Series 670 2020-04-23
2019 Kenny De Commer, Matthias Floré
The field of quantum $$GL(N,pmb {mathbb {C}})$$ G L ( N , C )
published pages: , ISSN: 1022-1824, DOI: 10.1007/s00029-019-0456-0
Selecta Mathematica 25/1 2020-04-23
2018 Koen van den Dungen
Families of spectral triples and foliations of space(time)
published pages: 63507, ISSN: 0022-2488, DOI: 10.1063/1.5021305
Journal of Mathematical Physics 59/6 2020-04-23
2019 Tatiana Shulman
Continuity of spectral radius and type I $C^*$-algebras
published pages: 641-646, ISSN: 0002-9939, DOI: 10.1090/proc/14169
Proceedings of the American Mathematical Society 147/2 2020-04-23
2018 Iakovos Androulidakis, Paolo Antonini
Integrable lifts for transitive Lie algebroids
published pages: 1850062, ISSN: 0129-167X, DOI: 10.1142/S0129167X18500623
International Journal of Mathematics 29/09 2020-04-23
2016 Frédéric Latrémolière
Equivalence of quantum metrics with a common domain
published pages: 1179-1195, ISSN: 0022-247X, DOI: 10.1016/j.jmaa.2016.05.045
Journal of Mathematical Analysis and Applications 443/2 2020-04-23
2018 Kenny De Commer, Paweł Kasprzak, Adam Skalski, Piotr M. Sołtan
Quantum actions on discrete quantum spaces and a generalization of Clifford’s theory of representations
published pages: 475-503, ISSN: 0021-2172, DOI: 10.1007/s11856-018-1709-x
Israel Journal of Mathematics 226/1 2020-04-23
2020 K. De Commer, M. Matassa
Quantum flag manifolds, quantum symmetric spaces and their associated universal K-matrices
published pages: 107029, ISSN: 0001-8708, DOI: 10.1016/j.aim.2020.107029
Advances in Mathematics 366 2020-04-23
2019 Kenny De Commer, Sergey Neshveyev, Lars Tuset, Makoto Yamashita
Ribbon Braided Module Categories, Quantum Symmetric Pairs and Knizhnik–Zamolodchikov Equations
published pages: 717-769, ISSN: 0010-3616, DOI: 10.1007/s00220-019-03317-7
Communications in Mathematical Physics 367/3 2020-04-23

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