Entrance hall of the ICMS

Oscillatory integrals in harmonic analysis

Jun 06, 2011 - Jun 10, 2011

15 South College Street, Edinburgh

Organisers

Name Institution
Kenig, Carlos University of Chicago
Nagel, Alexander University of Wisconsin-Madison
Seeger, Andreas University of Wisconsin-Madison
Wright, Jim University of Edinburgh

Bringing together an international group of experts in harmonic analysis to discuss recent research and open problems in the area, and focussing on developments related to oscillatory integrals this workshop will focus on:

  • Oscillatory integrals of Calreson-Sjolin type and related topics
  • Oscillatory and Fourier integral operators with degenerate canonical relations
  • The role of affine invariant measures
  • Uniformity and stability issues for oscillatory integrals, and related problems

During the last decade there has been tremendous progress in this very active area of analysis. The aim of the workshop is to foster interaction and collaboration amongst participants.

Arrangements

Particpation
There are now a limited number of places available to apply for. The application form is linked at the top right of this page, in the green box. Applications must be received by 1 May.  Notification of outcome will be sent out on 3 or 4 May.

Venue
The workshop will take place in the Newhaven lecture theatre at ICMS, 15 South College Street, Edinburgh, Scotland.

Lecture theatre facilities
The lecture theatre is fitted with data projection, visualiser (the new generation of over-head), smart-board and blackboard. Speakers may wish to note that since the lectures will be filmed, it is inadvisable to use blackboards as presentation medium simply because they don't come out clear on film. Please use alternative methods. Please also note that blackboard and data projection cannot be used simultaneously. More information about this is available form Helene Frossling.

Accommodation
Accommodation details have been sent out individually. Check-in is at the accommodation. If you arrive after 23.00 you need to pick up your keys from the Reception Centre which is at the main entrance to the Pollock Halls area. It is staffed 24 h.  If you experience delays during your travels, meaning you will not arrive on the intended date, please contact the accommodation on +44 131 651 2198 to let them know.

Visas
Attendees may need to apply for a visa to enter the UK. This government website gives more information.  

Travel
Information about travel to the UK and Edinburgh is available here. Lothian buses charge 1.30 GBP for a single journey and 3.20 GBP for a day ticket. Please note that the exact fare is required and no change is given.

A taxi directly from the airport will cost approximately 18.00 to 20.00 GBP to the city centre for a one-way journey.

From the airport, you can take the airport bus Airlink to the city centre. It will cost you 3.50 GBP for a single ticket, or 6.00 GBP return. More details on the airport bus Airlink is available here. The bus will take you to Waverley Bridge (next to Waverley Railway Station).

If travelling by train, please note that Edinburgh has two railway stations - Waverley Railway Station being the main station and closest to the workshop venue at ICMS and George Square. If you alight at Edinburgh Waverley, the workshop venue is an easy 10 minute walk over North and South Bridge map. The second railway station is called Haymarket and is at the West End of the city centre.

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

Conference Co-ordinator
Helene Frossling is the conference co-ordinator for this workshop.  

Programme

Programme posted 20 May 2011. Updated 31 May. Slides added from 15 June.

 

Monday 6 June

08.45 - 09.45

Registration and coffee/tea

09.45 - 10.00

Introductions

10.00 - 10.40

Eli Stein (Princeton University)
Cauchy integrals in for domains in C^n with minimal smoothness

10.40 - 11.10

Coffee and tea served in the Chapterhouse

11.10 - 11.50

Brian Street (University of Wisconsin-Madison)
Multiparameter singular and fractional Radon transforms Link to slides

11.55 - 12.35

Jonathan Bennett (University of Birmingham)
Weighted norm inequalities for a class of oscillatory integrals

12.35 - 14.00

Lunch served in the Chapterhouse

14.00 - 14.40

Keith Rogers (Instituto de Ciencias Matemáticas, Madrid)
Improved bounds for Stein's square function Link to slides

14.45 - 15.30

Lillian Pierce (University of Oxford)
Discrete fractional Radon transforms

15.30 - 16.00

Coffee and tea served in the Chapterhouse

16.00 - 16.40

Richard Oberlin (Louisiana State University)
Variations on the Carleson-Hunt theorem Link to slides

16.45 - 17.25

Detlef Mueller (University of Kiel)
Uniqueness for Schroedinger equations on two-step nilpotent groups


Tuesday 7 June

09.00 - 09.40

Michael Christ (University of California, Berkeley)
Extremizers and Near-extremizers for the Radon Transform Link to slides

09.45 - 10.30

Neal Bez (University of Birmingham)
Multilinear Radon-like transforms Link to slides

10.30 - 11.00

Coffee and tea served in the Chapterhouse

11.00 - 11.40

Allan Greenleaf (University of Rochester)
A multi-dimensional resolution of singularities with applications Link to slides

11.45 - 12.25

Neill Lyall (University of Georgia)
Polynomial patterns in subsets of the integers

12.25 - 14.00

Lunch

14.00 - 14.40

Malabika Pramanik (University of British Columbia)
An uncertainty-type principle for Salem measures of fractional dimension Link to slides

14.45 - 15.25

Philip Gressman (University of Pennsylvania)
Uniform sublevel set estimates and applications Link to slides

15.25 - 16.00

Coffee and tea served in the Chapterhouse

16.00 - 16.40

Christoph Thiele (University of California at Los Angeles)
The twisted paraproduct and the triangular Hilbert transform

16.45 - 17.25

A.D. Ionescu (Princeton University)
On the local extension of Killing vector-fields in Ricci flat manifolds Link to slides


Wednesday 8 June

09.00 - 09.40

Bill Beckner (University of Texas at Austin)
Multilinear fractional Sobolev embedding 

09.45 - 10.25

Dan Oberlin (Florida State University)
Uniform convolution and Fourier restriction estimates with affine measures - a survey Link to slides

10.25 - 11.00

Coffee and tea served in the Chapterhouse

11.00 - 11.40

Spyros Dendrinos (University of Jyväskylä)
Sharp uniform $L^p$ estimates for local Fourier restriction to curves Link to slides

11.45 - 12.25

Anthony Carbery (University of Edinburgh)
The Multilinear Kakeya theorem, factorisation and algebraic topology Link to slides

 

Knowledge Transfer Event

18.00-19.00

Allan Greenleaf (University of Rochester)
Mathematical foundations of invisibility cloaks and transformation optics

Followed by

Wine reception


Thursday 9 June

09.00 - 09.40

Antonio Cordoba (Universidad Autonoma de Madrid)
Singular integrals in fluid mechanics Link to slides

09.45 - 10.25

Sanghyuk Lee (Seoul National University)
On pointwise convergence of solutions to the Schrödinger equations

10.25 - 11.00

Coffee and tea served in the Chapterhouse

11.00 - 11.40

Akos Magyar (University of British Columbia)
Discrete singular radon transforms on step-2 nilpotent groups

11.45 - 14.00

Lunch

14.00 - 14.40

Michael Greenblatt (University of Illinois at Chicago)
A resolution of singularities algorithm for local fields of characteristic zero and some applications      Link to slides

14.45 - 15.25

Alexander Iosevich ( University of Rochester)
Sobolev bounds for generalized Radon transforms and application to geometric measure theory            Link to slides

15.25 - 16.00

Coffee and tea served in the Chapterhouse

16.00 - 16.40

Ana Vargas (Universidad Autonoma de Madrid)
About the Born approximation in potential inverse scattering Link to slides

16.45 - 17.25

Michael Cowling (Universiy of New South Wales)
An oscillatory integral related to random matrices

19.00

Workshop dinner


Friday 10 June

09.45 - 10.25

Izabella Laba (University of British Columbia)
Arithmetic progressions in sumsets and $L^p$-almost periodicity Link to slides

10.25 - 11.00

Coffee and tea served in the Chapterhouse

11.00 - 11.40

Jong-Guk Bak (Pohang University of Science and Technology)
A weak type Fourier restriction estimate for some degenerate curves

11.45 - 12.25

Alexander Volberg (Michigan State University)
The sharp estimate of Calder'on--Zygmund operators on metric spaces with geometric doubling

 

Presentations:

Presentation Details
Bak, Jong-Guk
A weak type Fourier restriction estimate for some degenerate curves
View Abstract Down
Bennett, Jonathan
Weighted norm inequalities for a class of oscillatory integrals
View Abstract Down
Carbery, Anthony
The Multilinear Kakeya theorem, factorisation and algebraic topology
View Abstract Down
Christ, Michael
Extremizers and Near-extremizers for the Radon Transform
View Abstract Down
Cordoba, Antonio
Singular integrals in fluid mechanics.
View Abstract Down
Cowling, Michael
An oscillatory integral related to random matrices
View Abstract Down
Dendrinos, Spyros
Sharp uniform $L^p$ estimates for local Fourier restriction to curves
View Abstract Down
Greenblatt, Michael
A resolution of singularities algorithm for local fields of characteristic zero and some applications
View Abstract Down
Greenleaf, Allan
A multi-dimensional resolution of singularities with applications
View Abstract Down
Gressman, Philip
Uniform sublevel set estimates and applications
View Abstract Down
Iosevich, Alexander
Sobolev bounds for generalized Radon transforms and application to geometric measure theory
View Abstract Down
Laba, Izabella
Arithmetic progressions in sumsets and $L^p$-almost periodicity
View Abstract Down
Lee, Sanghyuk
On pointwise convergence of solutions to the Schr"odinger equations
View Abstract Down
Lyall, Neill
Polynomial patterns in subsets of the integers
View Abstract Down
Magyar, Akos
Discrete singular radon transforms on step-2 nilpotent groups
View Abstract Down
Muller, Detlef
Uniqueness for Schroedinger equations on two-step nilpotent groups
View Abstract Down
Oberlin, Dan
Uniform convolution and Fourier restriction estimates with affine measures - a survey
View Abstract Down
Oberlin, Richard
Variations on the Carleson-Hunt theorem
View Abstract Down
Pramanik, Malabika
An uncertainty-type principle for Salem measures of fractional dimension
View Abstract Down
Rogers, Keith
Improved bounds for Stein's square function
View Abstract Down
Street, Brian
Multiparameter singular and fractional Radon transforms
View Abstract Down
Vargas, Ana
About the Born Approximation in Potential Inverse Scattering
View Abstract Down
Volberg, Alexander
The sharp estimate of Calder'on--Zygmund operators on metric spaces with geometric doubling.
View Abstract Down

Participants

Name Institution
Bailey, Andrew University of Birmingham
Bak, Jong-Guk Pohang University of Science and Technology
Beckner, W University of Texas at Austin
Bennett, Jonathan University of Birmingham
Bez, Neal University of Birmingham
Candy, Timothy University of Edinburgh
Carbery, Anthony University of Edinburgh
Christ, Michael University of California, Berkeley
Chung, Francis University of Chicago
Cordoba, Antonio Universidad Autonoma, Madrid
Cowling, Michael University of New South Wales
Dendrinos, Spyros University of Jyväskylä
Greenblatt, Michael University of Illinois at Chicago
Greenleaf, Allan University of Rochester
Gressman, Philip University of Pennsylvania
Harris, Stephen University of Edinburgh
Harrison, Samuel University of Birmingham
Heywood, Philip University of Edinburgh
Iliopoulou, Marina University of Edinburgh
Ionescu, A.D. Princeton University
Iosevich, Alexander University of Rochester
Kinnear, George University of Edinburgh
Laba, Izabella University of British Columbia
LaVictoire, Patrick University of Wisconsin
Lawrie, Andrew University of Chicago
Lee, Sanghyuk Seoul National University
Lichtin, Ben *
Lyall, Neill University of Georgia
Magyar, Akos University of British Columbia
Mas, Albert Universitat Autonoma de Barcelona
Muller, Detlef University of Kiel
Nagel, Alexander University of Wisconsin-Madison
Oberlin, Dan Florida State University
Oberlin, Richard Louisiana State University
Oliveira e Silva, Diogo University of California, Berkeley
Pierce, Lillian University of Oxford
Pott, Sandra University of Lund
Pramanik, Malabika University of British Columbia,
Rice, Alex University of Georgia
Rodriguez, Salvador Heriot-Watt University
Rogers, Keith Instituto de Ciencias Matemáticas, Madrid
Rudnev, Misha University of Bristol
Rule, David Heriot-Watt University
Seeger, Andreas University of Wisconsin-Madison
Staubach, Wulf Heriot-Watt University
Stein, Elias Princeton University
Street, Brian University of Wisconsin-Madison
Taylor, Krystal University of Rochester
Thiele, Christoph University of California, Los Angeles
Vargas, Ana Universidad Autonoma, Madrid
Volberg, Alexander Michigan State University
Wright, Jim University of Edinburgh