International Conference on Noncommutative Geometry, Analysis on Groups, and Mathematical Physics

26-27 February 2024

Ghent Analysis & PDE Center

Ghent University/ZOOM

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ZOOM instructions

Speakers and colleagues with whom we have been in contact will receive individual zoom invitations. If you want to have full participating privileges (camera, microphone), please let us know. We can also upgrade your participation mode during the event, if you let us know via chat.

Join it as a webinar at

The start is at 9:00 am CET (Central European Time)

Join Zoom Meeting https://us02web.zoom.us/j/89585411857?pwd=RjB6SzRFYVlBRkE4OHF0Mmk5WTFrQT09Meeting ID: 895 8541 1857 Passcode: 496026

Book of Abstracts

Book of Abstracts (YouTube MOVIE)

Description

The aim of the conference is to exchange the recent progress and ideas in the field of noncommutative analysis and related broader analysis. Our group took an initiative to organize this workshop for the continuity of research in the field. The conference will take place on ZOOM

Join Zoom Meeting https://us02web.zoom.us/j/89585411857?pwd=RjB6SzRFYVlBRkE4OHF0Mmk5WTFrQT09Meeting ID: 895 8541 1857 Passcode: 496026 .

The conference will be of interest to all noncommutative geometry, analysis on groups, and mathematical physics, as well as to mathematicians working in related areas of analysis (commutative, spectral, harmonic, nonharmonic) and partial differential equations.

Confirmed Speakers and Participants.

Are Austad (University of Southern Denmark, Denmark) (presentation)
Turdebek N. Bekjan (Astana IT University, Kazakhstan) (presentation)
Airat Bikchentaev (Kazan Federal University, Russia) (presentation)
Chris Bourne (Nagoya University, Japan) (presentation)
Johannes Christensen (KU Leuven, Belgium) (presentation)
Michael Francis (University of Western Ontario, Canada) (presentation)
Robert Fulsche (Leibniz University Hannover, Germany) (presentation)
Se-Jin Kim (KU Leuven, Belgium) (presentation)
Zeng Kai (University of Franche-Comté, France) (presentation)
Mario Klisse (KU Leuven, Belgium) (presentation)
Laurent Lafleche (ENS Lyon, France) (presentation)
Shahn Majid (Queen Mary University of London, UK) (presentation)
Edward McDonald (Penn State University, USA) (presentation)
Tao Mei (Baylor University, USA) (presentation)
Yerlan Nessipbayev (University of New South Wales, Australia) (presentation)
Sang-Jun Park (University of Toulouse, France) (presentation)
Stefaan Vaes (KU Leuven, Belgium) (presentation)
Christian Voigt (University of Glasgow, UK) (presentation)
Xiao Xiong (Harbin Institute of Technology, China) (presentation)
Sang-Gyun Youn (Seoul National University, South Korea) (presentation)
Shilin Yu (Xiamen University, China) (presentation)

Noncommutative analysts in Ghent

Some information on noncommutative analysis can be seen here

Presentation of our group

Preliminary Schedule (Central European Time)

Organisers (Ghent Analysis & PDE Center)

Gihyun Lee, Michael Ruzhansky, Kanat Tulenov
Conference secretary: Ms Kim Verbeeck

Gigyun

Michael

Kanat

Noncommutative analysis in Ghent

Contact

Email conference secretary Ms Kim Verbeeck For further information please contact Dr Gihyun Lee at gihyun.lee@ugent.be

Some of our noncommutative works:

Compact and graded Lie groups

Ruzhansky M., Turunen V., Pseudo-differential Operators and Symmetries: Background Analysis and Advanced Topics, Birkhauser, Basel, 2010. 724pp. Contents, description and samples, this book and time-frequency analysis, summary at Birkhauser review Bookmetrix
Fischer V., Ruzhansky M., Quantization on nilpotent Lie groups, Progress in Mathematics, Vol. 314, Birkhauser, 2016. xiii+557pp. link, download (open access book, first by Imperial College London) Bookmetrix the winner of Ferran Sunyer I Balaguer Prize 2014
Dasgupta A., Ruzhansky M., Gohberg lemma, compactness, and essential spectrum of operators on compact Lie groups, J. Anal. Math., 128 (2016), 179-190. offprint (open access), arxiv, link

Nilpotent Lie groups with flat orbits

Mantoiu M., Ruzhansky M., Quantizations on nilpotent Lie groups and algebras having flat coadjoint orbits. J. Geom. Anal., 29 (2019), 2823-2861. arxiv, link

Analysis on locally compact and quantum groups

Akylzhanov R., Ruzhansky M., Lp-Lq multipliers on locally compact groups, J. Funct. Anal., 278 (2020), no. 3, 108324, 49pp. link (open access), arxiv
Akylzhanov R., Majid S., Ruzhansky M., Smooth dense subalgebras and Fourier multipliers on compact quantum groups, Comm. Math. Phys., 362 (2018), 761-799. offprint (open access), link, arxiv
Mantoiu M., Ruzhansky M., Pseudo-differential operators, Wigner transform and Weyl systems on type I locally compact groups, Doc. Math., 22 (2017), 1539-1592. offprint (open access), link, arxiv

Homogeneous groups

Ruzhansky M., Suragan D., Hardy inequalities on homogeneous groups: 100 years of Hardy inequalities, Progress in Mathematics, Vol. 327, Birkhauser, 2019. xvi+588pp. link, free download (open access book), poster, the winner of Ferran Sunyer I Balaguer Prize 2018
Ruzhansky M., Suragan D., Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups, Adv. Math., 317 (2017), 799-822. offprint (open access), arxiv, link
Ruzhansky M., Suragan D., Layer potentials, Green formulae, Kac problem, and refined Hardy inequality on homogeneous Carnot groups, Adv. Math., 308 (2017), 483-528. offprint (open access), arxiv, link
Ruzhansky M., Suragan D., Yessirkegenov N., Extended Caffarelli-Kohn-Nirenberg inequalities, and remainders, stability and superweights for Lp-weighted Hardy inequalities, Trans. Amer. Math. Soc. Ser. B, 5 (2018), 32-62. offprint (open access), link, arxiv
Ruzhansky M., Yessirkegenov N., Very weak solutions to hypoelliptic wave equations. J. Differential Equations, 268 (2020), 2063-2088. link (open access), arxiv

Hypergroups

Kumar V., Ruzhansky M., Hardy-Littlewood inequality and L^p–L^q Fourier multipliers on compact hypergroups. arxiv

Homogeneous manifolds

Kumar V., Ruzhansky M., Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds, Indag. Math., 31 (2020), 266-276. link, arxiv
Akylzhanov R., Nursultanov E., Ruzhansky M., Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and Lp-Lq Fourier multipliers on compact homogeneous manifolds, J. Math. Anal. Appl., 479 (2019), 1519-1548.
Daher R., Delgado J., Ruzhansky M., Titchmarsh theorems for Fourier transforms of Holder-Lipschitz functions on compact homogeneous manifolds, Monatsh. Math., 189 (2019), 23-49.
Nursultanov E., Ruzhansky M., Tikhonov S., Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds, Ann. Sc. Norm. Super. Pisa Cl. Sci., 16 (2016), 981-1017.
Dasgupta A., Ruzhansky M., Gevrey functions and ultradistributions on compact Lie groups and homogeneous spaces, Bull. Sci. Math., 138 (2014), 756-782. offprint (open access), arxiv, link

Heisenberg groups

Rottensteiner D., Ruzhansky M., The harmonic oscillator on the Heisenberg group. C. R. Acad. Sci. Paris, to appear. arxiv
Fischer V., Rottensteiner D., Ruzhansky M., Heisenberg-modulation spaces at the crossroads of coorbit theory and decomposition space theory. arxiv
Ruzhansky M., Sabitbek B., Suragan D., Geometric Hardy and Hardy-Sobolev inequalities on Heisenberg groups. Bull. Math. Sci., to appear. arxiv
Ruzhansky M., Tokmagambetov N., Torebek B., Bitsadze-Samarskii type problem for the integer-differential diffusion-wave equation on the Heisenberg group, Integral Transforms and Special Functions, 31 (2020), 1-9. link (open access)
Ruzhansky M., Tokmagambetov N., Nonlinear damped wave equations for the sub-Laplacian on the Heisenberg group and for Rockland operators on graded Lie groups. J. Differential Equations, 265 (2018), 5212-5236. offprint (open access), arxiv, link
Ruzhansky M., Suragan D., On Kac principle of not feeling the boundary for the Kohn Laplacian on the Heisenberg group, Proc. Amer. Math. Soc., 144 (2016), 709-721. arxiv, link

Pseudo-differential operators on the lattice Zⁿ

Botchway L., Kibiti G., Ruzhansky M., Difference equations and pseudo-differential operators on Zⁿ, J. Funct. Anal., 278 (2020), no. 11, 108473, 41pp. link (open access), arxiv

Noncommutative (or quantum) torus and Euclidean spaces

Lee, G.: Logarithmic Sobolev inequalities of fractional order on noncommutative tori. Preprint. (arXiv)
Ruzhansky, M.; Shaimardan, S.; Tulenov, K. Lp−Lq boundedness of Fourier multipliers on quantum Euclidean spaces. (2023), 1-25. arXiv:2312.00657

Other possibly interesting/useful things:

Open access books for free download:

Fischer V., Ruzhansky M., Quantization on nilpotent Lie groups, Progress in Mathematics, Vol. 314, Birkhauser, 2016. xiii+557pp. link, download (open access book, first by Imperial College London) Bookmetrix the winner of Ferran Sunyer I Balaguer Prize 2014
Ruzhansky M., Suragan D., Hardy inequalities on homogeneous groups: 100 years of Hardy inequalities, Progress in Mathematics, Vol. 327, Birkhauser, 2019. xvi+588pp. link, download (open access book), the winner of Ferran Sunyer I Balaguer Prize 2018
Ruzhansky M., Sadybekov M., Suragan D., Spectral geometry of partial differential operators, Monographs and Research Notes in Mathematics, Chapman and Hall/CRC Press, 2020. 378pp. link, free download (open access book)