International Conference on Pseudo-differential Operators
7-8 July 2020
Ghent Analysis & PDE Center
Queen Mary University of London
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
https://us02web.zoom.us/j/84743490634?pwd=NTdWK3Q2a1REamFRQ0F5VzJzV0kxUT09
Password: 307485
The start is at 10am CET (Central European Time)
Book of Abstracts (PDF)
Book of Abstracts (PDF low resolution)
Book of Abstracts (YouTube MOVIE)
Video of Talks
Description
The aim of the conference is to exchange the recent progress and ideas in the field of pseudo-differential operators and related broader analysis. Our group took an initiative to organise this workshop for the continuity of research in the field despite the coronavirus times, therefore, the conference will take place on ZOOM.
The conference will be of interest to all pseudo-differentiators, microlocalisers, and Fourier transformers, as well as to mathematicians working in related areas of analysis (noncommutative, spectral, harmonic, nonharmonic) and partial differential equations.
Confirmed Speakers and Participants
- Paul Alphonse (Université de Rennes 1, France)
- Jonas Brinker (Stuttgart University, Germany)
- Duvan Cardona (Ghent University, Belgium)
- Paula Cerejeiras (University of Aveiro, Portugal)
- Marianna Chatzakou (Imperial College London, UK)
- Elena Cordero (University of Torino, Italy)
- Julio Delgado (Universidad del Valle, Cali, Colombia)
- Arash Ghaani Farashahi (University of Leeds, UK)
- Claudia Garetto (University of Loughborough, UK)
- Gerd Grubb (Copenhagen University, Denmark)
- Serena Federico (Ghent University, Belgium)
- Bernard Helffer (Université de Nantes, France)
- Marius Mantoiu (Universidad de Chile, Chile)
- Gerardo Mendoza (Temple University, USA)
- Tahir Kamran (University Faisalabad Punjab, Pakistan)
- Uwe Käehler (University of Aveiro, Portugal)
- Vishvesh Kumar (Ghent University, Belgium)
- Ljubica Oparnica (Ghent University, Belgium)
- Rakesh Kumar Parmar (Bikaner Technical University, India)
- Alberto Parmeggiani (University of Bologna, Italy)
- Sylvie Paycha (University of Potsdam, Germany)
- Karel Pravda-Starov (Université de Rennes 1, France)
- Luigi Rodino (University of Torino, Italy)
- Nicolas Braun Rodrigues (University of São Paulo, Brazil)
- David Rottensteiner (Ghent University, Belgium)
- Michael Ruzhansky (Ghent University and Queen Mary University of London)
- Bolys Sabitbek (Queen Mary University of London & Kazakh National University)
- Elmar Schrohe (University of Hannover, Germany)
- Johannes Sjöstrand (University of Burgundy in Dijon, France)
- Joachim Toft (Linnaeus University, Sweden)
- Ville Turunen (Aalto University, Finland)
- Gunther Uhlmann (University of Washington, USA)
- Jens Wirth (Stuttgart University, Germany)
- Ingo Witt (University of Göttingen, Germany)
- Man Wah Wong (York University, Canada)
- Maciej Zworski (University of California, Berkley, USA)
- Pseudo-differentiators in Ghent
Presenting a Poster
If you would like to present a poster at the conference, we are happy to do it. We may display it during some break, and will also put it on this website. If you are interested, let us know, and send your poster to the email address pseudodiff-conf@ugent.be
Michael Ruzhansky and Durvudkhan Suragan: Hardy inequalities on homogeneous groups
(thanks to Dr Bolys Sabitbek for making this poster)
Michael Ruzhansky, Makhmud Sadybekov and Durvudkhan Suragan: Spectral geometry of partial differential operators
(thanks to Dr Bolys Sabitbek for making this poster)
Duvan Cardona: Lp-bounds for pseudo-differential operators on graded Lie groups (Video)
Vishvesh Kumar: Lp-Lq boundedness of pseudo-differential operators on smooth manifolds and its applications to nonlinear equations (Video)
David Rottensteiner: The Harmonic Oscillator on The Heisenberg Group (Video)
Serena Federico: Smoothing and Strichartz estimates for Degenerate Schrödinger Operators (Video)
Vishvesh Kumar: Hardy-Littlewood inequality and L^p-L^q Fourier multipliers on compact hypergroups
Berikbol T. Torebek: Van der Corput lemmas for Mittag-Leffler functions
Jonas Brinker and Jens Wirth: Gelfand triples for the Kohn-Nirenberg quantization on a homogeneous Lie group
Arash Ghaani Farashahi and Gregory S. Chirikjian: Noncommutative Fourier Series on Γ\SE(2)
Nicolas Braun Rodrigues: Propagation of Singularities on Hypo-Analytics Structures
Marianna Chatzakou: On a class of anharmonic oscillators
Junqing Huang: Feature Extraction for License Plate Location Based on L_0-norm Smoothing
Rakesh Kumar Parmar: Generalized Horn’s double Hypergeometric Function and Associated Properties
Bolys Sabitbek: Geometric Hardy and Hardy-Sobolev inequalities on Heisenberg group (Video)
Deepak Bansal: Sufficient Condition for Strongly Starlikenesss of Normalized Mitting-Leffler function
Mohammed Sebih: Weak solutions vs Strong Singularities
Christian Jäh: Hyperbolic systems with non-diagonalisable principal part
Joel E. Restrepo: Explicit representations of solutions for linear fractional differential equations with variable coefficients
Pseudo-differentiators in Ghent
One definition of a pseudo-differential operator can be seen here
Presentation of our group
Schedule (Central European Time)
7 July (Tuesday)
10:00 – 10:10 | Opening Ceremony |
10:10 – 10:40 | Gerd Grubb (Copenhagen University, Denmark): Fractional-order pseudo differential operators on nonsmooth domains. (Slide) (Video) |
10:50 – 11:20 | Johannes Sjöstrand (University of Burgundy in Dijon, France): Bergman kernels in the analytic case (Slide) (Video) |
11:20 – 11:40 | Break |
11:40 – 12:10 | Elena Cordero (University of Torino, Italy): Properties of eigenfunctions of pseudodifferential operators via Gabor frames (Slide) (Video) |
12:20 – 12:30 | Paul Alphonse (Université de Rennes 1, France): Smoothing properties of semigroups generated by accretive quadratic operators. (Slide) (Video) |
12:30 – 14:20 | Lunch break |
14:20 – 14:50 | Karel Pravda-Starov (Université de Rennes 1, France): Uncertainty principles and null-controllability of evolution equations enjoying Gelfand-Shilov smoothing effects (Slide) (Video) |
15:00 – 15:30 | Alberto Parmeggiani (University of Bologna, Italy): On the solvability of degenerate PDEs (Slide) (Video) |
15:40 – 16:10 | Ingo Witt (University of Göttingen, Germany): Hyperbolic problems with totally characteristic boundary (Slide) (Video) |
16:10 – 16:30 | Break |
16:30 – 17:00 | Maciej Zworski (University of California, Berkley, USA): Analytic hypoellipticity of Keldysh operators (Video) |
17:10 – 17:40 | Gerardo Mendoza (Temple University, USA): R-actions and invariant differential operators (Slide) (Video) |
17:40 – 18:00 | Break |
18:00 – 18:30 | Ville Turunen (Aalto University, Finland): Time-frequency analysis on locally compact groups (Video) |
8 July (Wednesday)
10:00 – 10:30 | Bernard Helffer (Université de Nantes, France): Spectral analysis near a Dirac type crossing in a weak non-constant magnetic field (Slide) (Video) |
10:40 – 11:20 | Joachim Toft (Linnaeus University, Sweden): Liftings for ultra-modulation spaces, and one-parameter groups of gevrey type pseudo-differential operators (Slide) (Video) |
11:20 – 11:30 | Break |
11:30 – 12:00 | Claudia Garetto (University of Loughborough, UK): Hyperbolic Cauchy problems with multiplicities (Slide) (Video) |
12:10 – 12:40 | Paula Cerejeiras (University of Aveiro, Portugal): Discrete Pseudo-differential Operators and Boundary Value Problems in Hypercomplex Function Theory (Slide) (Video) |
12:50 – 14:20 | Lunch break |
12:50 – 14:20 | Poster session Part I (during break) |
14:20 – 15:00 | Poster session Part II (Blitztalks) |
15:00 – 15:30 | Sylvie Paycha (University of Potsdam, Germany): Regularised traces and Getzler’s rescaling |
15:40 – 16:10 | Elmar Schrohe (University of Hannover, Germany): Degenerate Elliptic Boundary Value Problems with Non-smooth Coefficients (Slide) (Video) |
16:20 – 16:40 | Break |
16:40 – 17:10 | Gunther Uhlmann (University of Washington, USA): Microlocal Analysis and the X-Ray Transform (Slide) (Video) |
17:20 – 17:50 | Man Wah Wong (York University, Canada): The Heat Semigroup of the Twisted Laplacian on the Non-Isotropic Heisenberg Group with Multi-Dimensional Center (Slide) (Video) |
18:00 – 18:30 | Marius Mantoiu (Universidad de Chile, Chile): Quantizations on Nilpotent Lie Groups and Algebras Having Flat Coadjoint Orbits (Slide) (Video) |
18:30 | Closing |
Organisers (Ghent Analysis & PDE Center)
- Serena Federico, David Rottensteiner, Michael Ruzhansky
- Duvan Cardona, Marianna Chatzakou, Bolys Sabitbek and Junqing Huang
Pseudo-differentiators in Ghent
Contact
For further information please contact Dr David Rottensteiner or Dr Serena Federico at Serena.Federico@UGent.be
And thanks to Duván and Marianna for making the book of abstracts!
Some of our works in different settings:
Pseudo-differential operators on the torus Tn
Ruzhansky M., Turunen V., Quantization of pseudo-differential operators on the torus, J. Fourier Anal. Appl., 16 (2010), 943-982. arxiv, link
Pseudo-differential operators on compact 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
Pseudo-differential operators on graded Lie groups
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
Pseudo-differential operators on Type I locally compact groups
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
Pseudo-differential operators on 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
Pseudo-differential operators on manifolds (with boundaries)
- Ruzhansky M., Tokmagambetov N., Nonharmonic analysis of boundary value problems, Int. Math. Res. Notices, (2016) 2016 (12), 3548-3615. offprint (open access), arxiv, link
- Ruzhansky M., Tokmagambetov N., Nonharmonic analysis of boundary value problems without WZ condition, Math. Model. Nat. Phenom., 12 (2017), 115-140. arxiv, link
- Delgado J., Ruzhansky M., Tokmagambetov N., Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary, J. Math. Pures Appl.,107 (2017), 758-783. offprint (open access), arxiv, link
- Delgado J., Ruzhansky M., Fourier multipliers, symbols and nuclearity on compact manifolds, J. Anal. Math., 135 (2018), 757-800. offprint (open access), arxiv, link
- Cardona D., Kumar V., Ruzhansky M., Tokmagambetov N., Lp–Lq boundedness of pseudo-differential operators on smooth manifolds and its applications to nonlinear equations. arxiv
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
In the above paper one makes a consistent development of the calculus of pseudo-differential operators which can be called pseudo-difference operators in the context of the lattice 
- how to define Hörmander type or other symbol classes on
?
- what is the relation to the analysis on the torus
?
- can it be used to derive new properties of operators on
- how to apply it to solving difference equations and to finding properties of their solutions?
Pseudo-differential operators 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
Pseudo-differential operators with nonlinear quantizing functions
Esposito M., Ruzhansky M., Pseudo-differential operators with nonlinear quantizing functions, Proc. Roy. Soc. Edinburgh Sect. A, 150 (2020), 103-130. arxiv, link
Ghent Analysis & PDE in usual times
Some other forthcoming conferences:
Generalised Functions Conference GF2020
☞ ☞ Download: ISAAC history 1996-2016 ☜ ☜
Forthcoming Tsunamis Workshop:
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, free 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)
There is also a forthcoming special issue on evolution equations with singularities.
If you work in analysis, there is still a possibility to submit a paper to the (refereed) volume: Ashyralyev A., Kalmenov T., Ruzhansky M., Sadybekov M., Suragan D. (Eds.) Functional Analysis in Interdisciplinary Applications II, Springer Proceedings in Mathematics & Statistics, Springer, to appear
Our modelling of COVID-19 for Belgium:
The effectiveness analysis is carried our for the lockdown in Belgium and of its duration, as well as of several phases of its relaxation. The comparative projection is made of different scenarios depending on the strength of confinement measures and their implementation.
Ruzhansky M., Tokmagambetov N., Torebek B., A projection model of COVID-19 pandemic for Belgium. medRxiv, paper
Our other research on medical imaging & analysis
Posters
Many thanks to Dr Bolys Sabitbek for making this webpage.
Ghent Analysis & PDE Center 