Pseudo-Differential Conference

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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 will receive individual zoom invitations. If you are not a speaker but want to have full participating privileges (camera, microphone), please let us know.

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 

Book of Abstracts MOVIE (to appear)

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

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

Poster_book-Ruzhansky-Suragan

Michael Ruzhansky and Durvudkhan Suragan: Hardy inequalities on homogeneous groups

 

 

 

Duvan poster

Duvan Cardona: Lp-bounds for pseudo-differential operators on graded Lie groups

 

Vishvish

Vishvesh Kumar: Lp-Lq boundedness of pseudo-differential operators on smooth manifolds and its applications to nonlinear equations

 

Screen Shot 2020-06-27 at 8.39.19 PMDavid Rottensteiner: The Harmonic Oscillator on The Heisenberg Group

 

SerenaSerena Federico: Smoothing and Strichartz estimates for Degenerate Schrödinger Operators

 

Screen Shot 2020-06-27 at 9.58.59 PMVishvesh Kumar: Hardy-Littlewood inequality and L^p-L^q Fourier multipliers on compact hypergroups

 

 

Screen Shot 2020-06-29 at 7.07.06 AMBerikbol T. Torebek: Van der Corput lemmas for Mittag-Leffler functions

 

 

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Jonas Brinker and Jens Wirth: Gelfand triples for the Kohn-Nirenberg quantization on a homogeneous Lie group

 

 

 

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Arash Ghaani Farashahi and Gregory S. Chirikjian: Noncommutative Fourier Series on Γ\SE(2)

 

 

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Pseudo-differentiators in Ghent

One definition of a pseudo-differential operator can be seen here

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Presentation of our group

GAP presentation

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Tentative 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

10:50 – 11:20

Johannes Sjöstrand (University of Burgundy in Dijon, France): Bergman kernels in the analytic case

11:20 – 11:40

Break

11:40 – 12:10

Elena Cordero (University of Torino, Italy): Properties of eigenfunctions of pseudodifferential operators via Gabor frames

12:20 – 12:30

Paul Alphonse (Université de Rennes 1, France): Smoothing properties of semigroups generated by accretive quadratic operators

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

15:00 – 15:30

Alberto Parmeggiani (University of Bologna, Italy): On the solvability of degenerate PDEs

15:40 – 16:10

Ingo Witt (University of Göttingen, Germany): Hyperbolic problems with totally characteristic boundary

16:10 – 16:30

Break

16:30 – 17:00

Maciej Zworski (University of California, Berkley, USA): Analytic hypoellipticity of Keldysh operators

17:10 – 17:40

Gerardo Mendoza (Temple University, USA): R-actions and invariant differential operators

17:40 – 18:00

Break

18:00 – 18:30

Ville Turunen (Aalto University, Finland): Time-frequency analysis on locally compact groups

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

10:40 – 11:20

Joachim Toft (Linnaeus University, Sweden): Liftings for ultra-modulation spaces, and one-parameter groups of gevrey type pseudo-differential operators

11:20 – 11:30

Break

11:30 – 12:00

Claudia Garetto (University of Loughborough, UK): Hyperbolic Cauchy problems with multiplicities

12:10 – 12:40

Paula Cerejeiras (University of Aveiro, Portugal): Discrete Pseudo-differential Operators and Boundary Value Problems in Hypercomplex Function Theory

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

16:20 – 16:40

Break

16:40 – 17:10

Gunther Uhlmann (University of Washington, USA): Microlocal Analysis and the X-Ray Transform

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

18:00 – 18:30

Marius Mantoiu (Universidad de Chile, Chile): Quantizations on Nilpotent Lie Groups and Algebras Having Flat Coadjoint Orbits

18:30

Closing

Organisers (Ghent Analysis & PDE Center)

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), 943-982arxiv, 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. Contentsdescription and samplesthis book and time-frequency analysissummary 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. linkdownload (open access bookfirst by Imperial College LondonBookmetrix 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 groupsDoc. Math., 22 (2017), 1539-1592. offprint (open access)linkarxiv

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. arxivlink

Pseudo-differential operators on manifolds (with boundaries)

  1. Ruzhansky M., Tokmagambetov N., Nonharmonic analysis of boundary value problems, Int. Math. Res. Notices, (2016) 2016 (12), 3548-3615. offprint (open access)arxivlink
  2. Ruzhansky M., Tokmagambetov N., Nonharmonic analysis of boundary value problems without WZ condition, Math. Model. Nat. Phenom.12 (2017), 115-140. arxivlink
  3. 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)arxivlink
  4. Delgado J., Ruzhansky M., Fourier multipliers, symbols and nuclearity on compact manifolds, J. Anal. Math., 135 (2018), 757-800. offprint (open access)arxiv, link
  5. Cardona D., Kumar V., Ruzhansky M., Tokmagambetov N., LpLq boundedness of pseudo-differential operators on smooth manifolds and its applications to nonlinear equationsarxiv

Pseudo-differential operators on the lattice Zn

linda-gael-3
Pseudo-differentiating with AIMS Ghana master students Linda and Gael, Cape Coast, Ghana

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

300px-SquareLattice.svgIn 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 {\mathbb Z}^n Some interesting questions to answer:

  • how to define Hörmander type or other symbol classes on {\mathbb Z}^n?
  • what is the relation to the analysis on the torus {\mathbb T}^n?
  • can it be used to derive new properties of operators on {\mathbb Z}^n?
  • how to apply it to solving difference equations and to finding properties of their solutions?

Pseudo-differential operators on locally compact and quantum groups

  1. Akylzhanov R., Ruzhansky M., Lp-Lq multipliers on locally compact groups, J. Funct. Anal., 278 (2020), no. 3, 108324, 49pp. link (open access)arxiv
  2. 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), linkarxiv

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

NiyazMerdevine

Some other forthcoming conferences:

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Generalised Functions Conference GF2020

Official GF2020 website

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ISAAC Congress 2021           

☞ ☞ Download: ISAAC history 1996-2016 ☜ ☜

Forthcoming Tsunamis Workshop:

pde_tsu_workshop_black1

Other possibly interesting/useful things:

Open access books for free download:

  1. Fischer V., Ruzhansky M., Quantization on nilpotent Lie groups, Progress in Mathematics, Vol. 314, Birkhauser, 2016. xiii+557pp. linkdownload (open access book, first by Imperial College London) Bookmetrix the winner of  Ferran Sunyer I Balaguer Prize 2014
  2. 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
  3. 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)

Poster_book-Ruzhansky-Suragan

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 BelgiummedRxivpaper

Our other research on medical imaging & analysis

Posters

Duvan poster

Vishvish

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Serena

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