Cartan and differential geometry, Lie theory, quantum groups and non commutative geometry For novel and Innovative Applications to quantum algorithms and geometric deep learning

Project Information

CaLiForNIA

Grant agreement ID: 101119552

DOI

10.3030/101119552

EC signature date 5 July 2023

Start date 1 January 2024

End date 31 December 2027

Funded under

• Marie Skłodowska-Curie Actions (MSCA)

Total cost

No data

EU contribution

€ 2 504 779,20

Coordinated by

ALMA MATER STUDIORUM - UNIVERSITA DI BOLOGNA
Italy

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Deliverables

Websites, patent fillings, videos etc. (2)

Website

Creation of website

National and local public engagement events

National and local public engagementcoordination in synergy with UNIBOevents coordination

Documents, reports (1)

Recruitment

Advertisment on EURAXESS, websites,newsletters and Recruitment of PhDcandidates

Publications

Other (7)

Strongly invariant differential operators on parabolic geometries modelled on Gr(3,3)

Author(s): J. Slovak, V. Soucek
Publisher: Arxiv preprnt
DOI: 10.48550/ARXIV.2412.20369

Gravity Coupled with Scalar, SU(n), and Spinor Fields on Manifolds with Null-Boundary

Author(s): Alberto S. Cattaneo, Filippo Fila Robattino, Valentino Huang, Manuel Tecchiolli
Publisher: Arxiv preprint
DOI: 10.48550/ARXIV.2401.09337

Levi-Civita connection on the irreducible quantum flag manifolds

Author(s): Jyotishman Bhowmick, Bappa Ghosh, Andrey O. Krutov, Réamonn Ó Buachalla
Publisher: Arxiv preprint
DOI: 10.48550/ARXIV.2411.03102

Quantized semisimple Lie groups

Author(s): Fioresi, Rita; Yuncken, Robert
Published in: 2024, 2024
DOI: 10.48550/arxiv.2403.17180

Noncommutative Complex Structures on Quantum Homogeneous Spaces

Author(s): A. Carotenuto, R. Ó Buachalla, J. Razzaq
Publisher: Arxiv preprint
DOI: 10.48550/ARXIV.2411.07767

Conformally compact and higher conformal Yang-Mills equations

Author(s): A. Rod Gover, Emanuele Latini, Andrew Waldron, Yongbing Zhang
Publisher: Arxiv Preprint
DOI: 10.48550/ARXIV.2311.11458

Geometric quantization and unitary highest weight Harish-Chandra supermodules

Author(s): Meng-Kiat Chuah, Rita Fioresi
Publisher: Arxiv preprint
DOI: 10.48550/ARXIV.2405.16251

Peer reviewed articles (6)

The geometry of quantum computing

Author(s): E. Ercolessi, R. Fioresi, T. Weber
Published in: International Journal of Geometric Methods in Modern Physics, Issue 21, 2024, ISSN 0219-8878
Publisher: World Scientific Pub Co Pte Ltd
DOI: 10.1142/S0219887824400115

Differential Calculi on Quantum Principal Bundles Over Projective Bases

Author(s): P. Aschieri, R. Fioresi, E. Latini, T. Weber
Published in: Communications in Mathematical Physics, Issue 405, 2024, ISSN 0010-3616
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/s00220-024-05007-5

A new perspective on border completion in visual cortex as bicycle rear wheel geodesics paths via sub Riemannian Hamiltonian formalism

Author(s): R. Fioresi, A. Marraffa, J. Petkovic
Published in: Differential Geometry and its Applications, Issue 94, 2024, ISSN 0926-2245
Publisher: Elsevier BV
DOI: 10.1016/j.difgeo.2024.102125

Generalized root systems

Author(s): Ivan Dimitrov, Rita Fioresi
Published in: Transactions of the American Mathematical Society, Series B, Issue 11, 2024, ISSN 2330-0000
Publisher: American Mathematical Society (AMS)
DOI: 10.1090/btran/214

Geometric deep learning for enhanced quantitative analysis of microstructures in X-ray computed tomography data

Author(s): M. Lapenna, A. Tsamos, F. Faglioni, R. Fioresi, F. Zanchetta, G. Bruno
Published in: Discover Applied Sciences, Issue 6, 2024, ISSN 3004-9261
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/s42452-024-05985-0

Semiholonomic jets and induced modules in Cartan geometry calculus

Author(s): Jan Slovák, Vladimír Souček
Published in: Archivum Mathematicum, 2024, ISSN 0044-8753
Publisher: Masaryk University Press
DOI: 10.5817/AM2024-4-191

Conference proceedings (2)

Sheaf Diffusion Goes Nonlinear: Enhancing GNNs with Adaptive Sheaf Laplacians

Author(s): Olga Zaghen, Antonio Longa, Steve Azzolin, Lev Telyatnikov, Andrea Passerini, Pietro Liò
Publisher: Proceedings of Machine Learning Research

Revisiting Random Walks for Learning on Graphs

Author(s): Jinwoo Kim, Olga Zaghen, Ayhan Suleymanzade, Youngmin Ryou, Seunghoon Hong
Publisher: ICLR 2025