Entrance hall of the ICMS Workshop

Harmonic Analysis and Partial Differential Equations

Jul 27, 2015 - Jul 31, 2015

ICMS, 15 South College Street, Edinburgh

Organisers

Name Institution
Dindos, Martin University of Edinburgh
Oh, Tadahiro University of Edinburgh

Over the last several decades, there has been significant development in harmonic analysis and partial differential equations (PDEs) through their close interactions. On the one hand, harmonic analysis played an essential role in settling some of the central problems in the field of linear and nonlinear PDEs, including dispersive and hyperbolic equations and elliptic and parabolic equations and systems. On the other hand, recent advance in our theoretical understanding of PDEs has stimulated further development of analytical ideas and tools in harmonic analysis. The main purpose of this workshop is to bring together researchers in these two fields and strengthen the link between these areas.The aim of the workshop is to generate new intradisciplinary research directions, where new developments in one area will impact the other.

Photographs of workshop group, public lecture and reception are now on the ICMS Flickr account.

Arrangements

It is anticipated that the workshop will commence with Registration on Monday morning 27 July - and close on Friday afternoon 31 July 2015.   Please take these timings into account when organising your travel to the workshop.

Participation

  • Speakers will have now received their invitations (closing date is 31 May 2015).
  • Other applicants  - A limited number of places are available at this workshop.  It is recommended that you apply as soon as possible and certainly by the closing date of 31 May 2015. The organisers will make a decision on the applications by 8 June 2015 and you will be informed by email after that date. We are able to provide accommodation in Edinburgh (for up to 5 nights) .  If you would like to be considered for one of these places please complete the public application form 

Venue and Talks
The workshop will be held at 15 South College Street, Edinburgh.  You may also find this map useful for the workshop.  All lectures will be held in the Newhaven Lecture Theatre.  The Lecture Theatre is equipped with a data projector, computer, visualiser (the new generation of overhead projectors) and two blackboards.  The projector and one board may be used simultaneously.  It is best to bring your presentation on a memory stick to use in our ICMS computer.  Alternatively, it is possible for you to use your own laptop with our dataprojector, but please be aware that you may have to alter your laptop resolutions/settings.   

Travel
Information about travel to the UK and Edinburgh is available here.

Please note that it is your responsibility to have adequate travel insurance to cover medical and other emergencies (volcanic ash disruptions) that may occur on your trip.

A taxi directly from the airport will cost approximately 16.00 to 20.00 GBP to the city centre for a one-way journey.  There is also a bus service direct from the airport to the city centre which will cost 4.00 single or 7.00 GBP return - the Airlink 100.  This is a frequent service (every 10 minutes during peak times) and will bring you close to Waverley Railway Station, only a short walk to the accommodation and the workshop venue (see map in 'Venue' section above). 

Lothian buses charge £1.50 for a single, £4.00 for a day ticket.  Please note that the exact fare is required and no change is given.

If travelling by train, please note that Edinburgh has several railway stations - Waverley Railway Station being the main station and closest to the workshop venue at 15 South College Street. If you alight at Edinburgh Waverley, the workshop venue is an easy 10 minute walk over North and South Bridge.  The other railway stations are Haymarket and Edinburgh Park at the West End of the city centre.

UK Visas
If you are travelling from overseas you may require an entry visa.  A European visa does not guarantee entry to the UK. Please use this link to the UK Visas site to find out if you need a visa and if so how to apply for one.

Accommodation
If requested, accommodation will be arranged by ICMS and details of your accommodation emailed to you nearer the time of the workshop. 

Public Lecture
On Tuesday 22 September, Dr Grant Mair will give a Public Lecture (title and abstract below).  Doors will open to the Public at 17.30, with the Lecture beginning at 18.00.  The Public Lecture will be followed by an informal wine reception in the Chapterhouse at ICMS from 19.00-20.00.    Seats have been reserved in the Lecture Theatre for all the workshop participants so there is no need for you to book a seat.

Presentations
We are in the process of putting together the detailed programme, balancing a  few longer lectures (45 minutes) and more shorter lectures (20 minutes) against the need for adequate discussion and break-out sessions. Also, there is the  opportunity to offer a poster.
 

Catering
The workshop grant will cover refreshments throughout the event, lunch on Monday, Tuesday and Thursday, an informal wine reception and a workshop dinner.

Wireless Access
The workshop venue, 15 South College Street, has wireless access throughout.  On arrival at Registration you will be given instructions and a code for accessing the wireless network.  For those without laptops, there will also be a couple of computers available for you to check your emails. 

Who to contact?
If you have any enquiries about the arrangements for this workshop, please email:    moira.spencer(at)icms.org.uk .

 

 

Programme

Please note that this is a Provisional Programme and may be subject to alteration.


Programme

Monday 27 July 2015

08:30-09:30

Registration & coffee in the Chapterhouse, Level 1

09:30-10:30

Patrick Gérard (Université Paris-Sud)
Long time Sobolev estimates for solutions of Hamiltonian PDEs

10:30-11:00

Coffee/Tea in the Chapterhouse, Level 1

11:00-12:00

Jill Pipher (Brown University)
Elliptic and parabolic boundary value problems: the non-symmetric case
pdf of presentation

12:00-13:00

Camil Muscalu(Cornell University)
Iterated Fourier series
pdf of presentation

13:00-14:00

Lunch provided in the Chapterhouse, Level 1

14:00-15:00

Geordie Richards (University of Rochester)

15:00-15:30

Coffee/Tea in the Chapterhouse, Level 1

15:30-16:30

Shuji Machihara (Saitama University)
Well-posed and Ill-posed results for the 1d Dirac-Klein-Gordon system
pdf of presentation

17:00-18:30

Poster session & informal wine reception in the Chapterhouse, Level 1

 

Tuesday 28 July

09:30-10:30

Yoshio Tsutsumi (Kyoto University)
Four-fermion interaction approximation of the intermediate vector Boson model
pdf of presentation

10:30-11:00

Coffee/Tea in the Chapterhouse, Level 1

11:00-12:00

Patrick Gérard (Université Paris-Sud)
Long time Sobolev estimates for solutions of Hamiltonian PDEs

12:00-13:00

Frédéric Bernicot (CNRS - Université de Nantes)
Paracontrolled calculus and singular PDES through semigroup
pdf of presentation

13:00-13:05

Group photo to be taken

13:05-14:00

Lunch provided in the Chapterhouse, Level 1

14:00-15:00

David Rule (Linköping University)
The regularity of some bilinear oscillatory integral
pdf of presentation

15:00-15:30

Coffee/Tea in the Chapterhouse, Level 1

15:30-16:30

Bernd Kirchheim (Universität Leipzig)
Square functions and the Muckenhoupt weight classes of elliptic measures

17:30

Doors open to the public

18:00-19:00

Public Lecture by Rodolfo Torres (University of Kansas)
Fourier blues: How mathematics explains some of the beautiful blue colors in birds and other animals.

19:00-20:00

Informal wine reception in the Chapterhouse, Level 1

 

Wednesday 29 July

09:30-10:30

Patrick Gérard(Université Paris-Sud)
Long time Sobolev estimates for solutions of Hamiltonian PDEs

10:30-11:00

Coffee/Tea in the Chapterhouse, Level 1

11:00-12:00

Marius Mitrea (University of Missouri)
Calder'on-Zygmund theory on a class of uniformly rectifiable subdomains of riemannian manifolds

12:00-13:00

Oana Pocovnicu ( Heriot-Watt University)
A modulated two-soliton with transient turbulent regime for a focusing cubic nonlinear half-wave equation on the real line
pdf of presentation

13:00-onwards

Free afternoon

 

Thursday 30 July

09:30-10:30

Stefanie Petermichl (Université de Toulouse)
Jump processes and second order Riesz transforms on disconnected compact Lie groups: optimal L^p estimates" on joint work with N. Arcozzi and K. Domelevo
pdf of presentation

10:30-11:00

Coffee/Tea in the Chapterhouse, Level 1

11:00-12:00

Marius Mitrea (University of Missouri)
Calder'on-Zygmund theory on a class of uniformly rectifiable subdomains of riemannian manifolds

12:00-13:00

Dorina Mitrea (University of Missouri)
Higher dimensional scattering theory and integral representation formulas

13:00-14:00

Lunch provided in the Chapterhouse

14:00-15:00

Marius Mitrea (University of Missouri)
Calder'on-Zygmund theory on a class of uniformly rectifiable subdomains of riemannian manifolds

15:00-15:30

Coffee/Tea in the Chapterhouse, Level 1

15:30-16:30

Ali Taheri (University of Sussex)
From functional inequalities to quasiconvexity: Entropy monotonicity and geometric rigidity

19:00

Workshop Dinner at Blonde, 71-75 St. Leonard's St, Edinburgh, EH8 9QR

 

Friday 31 July

09:30-10:30

Sung-Jin Oh (University of California, Berkeley)
Global well-posedness of the energy critical Maxwell-Klein-Gordon equation

10:30-11:00

Coffee/Tea in the Chapterhouse, Level 1

11:00-12:00

Andrew Morris (University of Birmingham)
Quadratic estimates for Hodge-Dirac operators with potentials
pdf of presentation

12:00

Close of workshop (no lunch will be provided)

 

 

Presentations:

Presentation Details
Amenta, Alex
(Poster) Interpolation and embeddings of weighted tent spaces
Awonusika, Richard Olu
(Poster) Generalised Spherical Functions on the Hyperbolic Space $mathbf{H}^{n}$
View Abstract Down
Battistotti, Paolo
(Poster) An invariant approach to symbolic calculus for pseudodifferential operators on manifolds
Bernicot, Frédéric
Paracontrolled calculus and singular PDES through semigroup
View Abstract Down
Cherednichenko, Kirill
(Poster) On application of the theory of boundary triples to high-contrast homogenisation
View Abstract Down
Gérard, Patrick
Long time Sobolev estimates for solutions of Hamiltonian PDEs
View Abstract Down
Hutridurga Ramaiah, Harsha
(Poster) On the diffusion limit for a Vlasov-Fokker-Planck equation in bounded domains
View Abstract Down
Kirchheim, Bernd
Square functions and the Muckenhoupt weight classes of elliptic measures
View Abstract Down
Machihara, Shuji
Well-posed and Ill-posed results for the 1d Dirac-Klein-Gordon system
View Abstract Down
Mitrea, Dorina
Higher dimensional scattering theory and integral representation formulas
View Abstract Down
Mitrea, Marius
Calder'on-Zygmund theory on a class of uniformly rectifiable subdomains of riemannian manifolds
View Abstract Down
Morris, Andrew
Quadratic estimates for Hodge-Dirac operators with potentials
View Abstract Down
Muscalu, Camil
Iterated Fourier series
View Abstract Down
Oh, Sung-Jin
Global well-posedness of the energy critical Maxwell-Klein-Gordon equation
View Abstract Down
Okamoto, Mamoru
(Poster) Sharp well-posedness and ill-posedness for the Chern-Simons-Dirac system in one dimension
Petermichl, Stefanie
Jump processes and second order Riesz transforms on disconnected compact Lie groups: optimal L^p estimates" on joint work with N. Arcozzi and K. Domelevo
View Abstract Down
Pipher, Jill
Elliptic and parabolic boundary value problems: the non-symmetric case to follow
View Abstract Down
Pocovnicu, Oana
A modulated two-soliton with transient turbulent regime for a focusing cubic nonlinear half-wave equation on the real line
View Abstract Down
Richards, Geordie
Stochastic methods in Rayleigh-B'{e}nard convection models
View Abstract Down
Rule, David
The regularity of some bilinear oscillatory integrals
View Abstract Down
Taheri, Ali
From functional inequalities to quasiconvexity: Entropy monotonicity and geometric rigidity
View Abstract Down
Torres, Rodolfo
(Public Lecture) Fourier blues: How mathematics explains some of the beautiful blue colors in birds and other animals.
View Abstract Down
Tsutsumi, Yoshio
Four-fermion interaction approximation of the intermediate vector Boson model
View Abstract Down
Wang, Yuzhao
(Poster) On Uniqueness of nonnegative weak solution to $u^ple(-Delta)^frac{alpha}{2}u$ in $mathbb R^N$
Waters, Alden
(Poster) A deterministic optimal design problem for the heat equation (Joint work with Heiko Gimperlein)
XIA, BO
(Poster) Generic ill-posedness for semilinear wave equation in the supercritical regime
View Abstract Down
XU, Haiyan
(Poster) The cubic Szegő equation with a linear perturbation

Participants

Name Institution
Amenta, Alex Australian National University / Université Paris-Sud
Awonusika, Richard Olu University of Sussex
Bandara, Lashi University of Gothenburg
Battistotti, Paolo King's College London
Bernicot, Frédéric CNRS - Université de Nantes
Blue, Pieter University of Edinburgh
Bond, Stuart University of Sussex
Cherednichenko, Kirill University of Bath
Dindos, Martin University of Edinburgh
Dos Reis, Goncalo University of Edinburgh
Dreher, Michael Heriot-Watt University
Dyer, Luke University of Edinburgh
Esposito, Massimiliano Imperial College
Gérard, Patrick Université Paris-Sud
Gimperlein, Heiko Heriot-Watt University and University of Paderborn
Hughes, Kevin The University of Edinburgh
Hutridurga Ramaiah, Harsha University of Cambridge
Hwang, Sukjung University of Edinburgh
Kirchheim, Bernd Mathematisches Institut, Universität Leipzig
Lim, Zhuo Min University of Cambridge
Machihara, Shuji Saitama University
Mitrea, Dorina University of Missouri
Mitrea, Marius University of Missouri
Morris, Andrew University of Birmingham
Morris, Charles University of Sussex
Morrison, George University of Sussex
Mosincat, Razvan University of Edinburgh
Muscalu, Camil Cornell University
Oh, Sung-Jin University of California, Berkeley
Oh, Tadahiro University of Edinburgh
Okamoto, Mamoru Shinshu University
Petermichl, Stefanie Université de Toulouse
Pipher, Jill Brown University
Pocovnicu, Oana Heriot-Watt University
Richards, Geordie Utah State University
Rodriguez, Salvador Imperial College London
Rule, David Linköping University
Simpson, George University of Sussex
Taheri, Ali University of Sussex
Torres, Rodolfo University of Kansas
Tsutsumi, Yoshio Kyoto University
Wang, Yuzhao Memorial University of Newfoundland
Waters, Alden University College London
XIA, BO Department of mathematics at Orsay
XU, Haiyan Département de mathématiques d'Orsay