Entrance hall of the ICMS Workshop

Harmonic analysis and its interactions: in honour of Tony Carbery

Jul 17, 2017 - Jul 21, 2017

Appleton Tower, 11 Crichton Street Edinburgh

Organisers

Name Institution
Barcelo, Juan Antonio Universidad Politecnica de Madrid
Bennett, Jonathan University of Birmingham
Gressman, Philip University of Pennsylvania
Iliopoulou, Marina University of California, Berkeley
Wright, Jim University of Edinburgh

Over the last decade the international research landscape in harmonic analysis has seen a dramatic and unexpected broadening of its connectivity within mathematics. The emergence of surprising new approaches to longstanding problems at the heart of the subject has led to many high-profile breakthroughs across mathematics. Many of these new developments can be traced back to the foundational contributions of Tony Carbery. The purpose of the proposed conference is to honour Tony Carbery by bringing together many of the key drivers of research in harmonic analysis at these important interfaces, at a time when international interest is at a peak.

This conference will focus attention on aspects of harmonic analysis lying at the forefront of research in pure mathematics. Developments in just the last five years have transformed the profile of modern harmonic analysis, drawing attention from many communities, from the more classical dispersive PDEs and analytic number theory, to the more surprising algebraic geometry and topology.

The surge in pace of progress in harmonic analysis has exposed a wide variety of new and unexpected methodologies and applications, and the exploitation of many of these is still in its infancy. This workshop is intended to capitalise on this by drawing together research leaders in harmonic analysis at its interfaces across mathematics.

Invited speakers include:
Keith Ball, University of Warwick
Bill Beckner, University of Texas at Austin
Neal Bez, Saitama University
Michael Christ, University of California, Berkeley
Michael Cowling,  University of New South Wales
Ciprian Demeter, Indiana University
Phil Gressman, University of Pennsylvania
Larry Guth, MIT
Jonathan Hickman, University of Chicago
Tuomas Hytonen, University of Helsinki
Marina Iliopoulou, University of California, Berkeley
Nets Katz, Caltech
Sanghyuk Lee ,Seoul National University
Victor Lie, Purdue University
Marius Mirek, Institute for Advanced Study, Princeton
Detlef Muller, Christian-Albrechts-Universität zu Kiel
Tuomas Orponen, University of Helsinki
Fulvio Ricci, Scuola Normale Superiore, Pisa
Keith Rogers, ICMAT
Betsy Stovall, University of Wisconsin-Madison
Andreas Seeger, University of Wisconsin-Madison
Eli Stein, Princeton University
Terry Tao, University of California, Los Angeles
Christoph Thiele, Universität Bonn
Hong Wang, MIT
Josh Zahl, University of British Columbia
Ruixiang Zhang, Princeton University

Workshop group photographs on our Flickr account.

PDF of black and white posters

PDF of colour poster

Organized in partnership with the Clay Mathematics Institute.

The organisers gratefully acknowledge the financial support of:
      

 

Arrangements

This workshop is anticipated to commence around  09.00 on Monday 17 July and close around lunchtime on Friday 21 July 2017.

 

SUNDAY 16 JULY, TALKS FOR GRADUATE STUDENTS (14:00 - 17:00) ICMS 15 SOUTH COLLEGE STREET EDINBURGH
On Sunday, 16 JULY,  Philip Gressman (University of Pennsylvania) and Larry Guth (Massachusetts Institute of Technology), will both give talks, aimed at graduate students attending the conference with the aim of giving an overview of the interesting current issues in Harmonic Analysis.  This pre-workshop event is open to all interested graduate students. AS STATED ABOVE, THESE TALKS WILL TAKE PLACE AT ICMS, 15 SOUTH COLLEGE STREET, EDINBURGH, 14:00- 17:00. DOORS OPEN AT 13:30.  If you would like attend the talks please register here

THE HARMONIC ANALYSIS WORKSHOP, 17-21 JULY,  WILL BE HELD AT APPLETON TOWER, 11 CRICHTON STREET, EDINBURGH. PLEASE BE AWARE HOWEVER, THAT THE PUBLIC LECTURE BY PROFESSOR KEITH BALL, ON WEDNESDAY 19 JULY, WILL TAKE PLACE AT ICMS, NEWHAVEN LECTURE THEATRE, LEVEL4, 15 SOUTH COLLEGE STREET, EDINBURGH AT 18:00.
Please note that the main “Harmonic analysis and its interactions” workshop is full and if you haven’t already been accepted as a participant it is no longer possible to register for the workshop.

Participation

  • Invited speakers were sent an invitation email from ICMS in February 2017

  • All other participants should register using this form.
    • Please read the section below on Financial Support carefully before completing the form.
    • As we expect this workshop to be very popular the organisers would like to understand your motivation for participation in the workshop.
    • Please read the "Special Instructions" section at the top of the form before filling the form in.
    • The closing date for applications with a request for financial support is 1 April 2017
    • The closing date for applications is 15 May 2017.
    • Participants who do not require financial support: ICMS will let you know as soon as possible if your application has been successful. It is anticipated that this process will take around two weeks from the date of application.
    • Participants who apply for financial support:  you will be told if your application has been successful in April 2017

Registration Fee
A registration fee of 100.00 GBP is payable by all participants (excluding invited speakers).  Payment can be made on arrival at Appleton Tower - at Registration we will accept cash, credit/debit card payments and sterling cheques (payable to “Heriot-Watt University”).  Unfortunately, we do not yet have an on-line payment system at ICMS.  The registration fee covers the cost of lunches, refreshments throughout the event and the workshop dinner on Thursday 20 July in the Playfair Library.

Financial support
There is a limited amount of financial support available to a small number of particpants at the workshop. This funding is specifically aimed at younger participants: PhD students and post-Docs. ICMS will be able to provide accommodation for five nights and a contribution towards your travel to Edinburgh. For example if you are based in the UK we would give you up to £125 towards travel and for participants based in Europe this would be £250. Please complete the section of the form headed "Financial Support" if you would like to apply for this support.  All requests for financial support must be made by 1 April 2017.

US-based participants
The organisers of the workshop have been awarded a grant by the NSF to support the participation of approximately 10 junior particpants in this workshop. Please note this funding is specifically aimed at members of traditionally underrepresented minority groups, or for those with no other sources of funding. You must be based in the US and under the rules of the Fly America Act you must book your flight with a US flag carrier.  This money covers travel and accommodation only and does not cover incidentals. The amount of funding available is up to $1200 and six nights accommodation in Edinburgh. 

Venue
The workshop will be held at Appleton Tower, 11 Crichton Street  Edinburgh EH8 9LE

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. 

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 that may occur on your trip.

A taxi directly from the airport will cost approximately 20.00 to 25.00 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 4.50 GBP single or 7.50 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 workshop venue (see map in 'Venue' section above). 

Lothian buses charge £1.60 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 Appleton Tower.  If you alight at Edinburgh Waverley, the workshop venue is an easy 15 minute walk over North and South Bridge. The second large railway station is called Haymarket and is at the West End of the city centre.    Please be aware that there is also an Edinburgh Park railway station but this is at the west side of the city some way from the city centre.  For Appleton Tower, use Edinburgh Waverley.

Public Lecture
On Wednesday 19 July, Professor Keith Ball, (FRS, FRSE,) University of Warwick, will give a public lecture. The lecture will take place at ICMS, 15 South College Street, Edinburgh , EH8 9AA in the Newhaven Lecture Theatre on level 4. Details of the talk title and abstract are as follows: 

'Pools of Blood'

How should we design testing protocols for blood samples? This is a typical example of a problem in mathematical information theory. The lecture will explain the basic ideas of information theory and answer the protocol problem. The talk is accessible to those aged 14 or over with an interest in maths. 

Doors will open to the public at 17:30, with the Lecture beginning at 18:00.  Seats have been reserved in the Lecture Theatre for 50 of the workshop participants on a first come first served basis. You will be asked at registration if you would like to attend. The talk will be followed by an informal wine reception from 19:00-19:45 in the Chapterhouse, Level 1.

Accomodation

  • Invited Speakers and members of the Scientific Committee will be contacted separately by email regarding accommodation - ICMS has booked accommodation and full details of the booking will be emailed to you.
  • Participants who are successful in their application for funding from ICMS will receive accommodation

For all other participants: you are asked to arrange and pay for your own accommodation (only once your application has been accepted).   At this moment in time there is still plenty of availability, however, Edinburgh can get very busy at this time of year, so it would be best to book sooner than later. Some suggestions are below:

Masson House, Pollock Halls of Residence, The University of Edinburgh, 18 Holyrood Park Road, Edinburgh EH16 5AY 
0800 028 7118 (UK only) - +44 (0)131 651 2189 - http://www.book.accom.ed.ac.uk/
University of Edinburgh accommodation. Pollock Halls is about a 20 minute walk from the workshop venue.

Ibis Hotel on South Bridge (not Hunter Square)
http://www.accorhotels.com/gb/hotel-8484-ibis-edinburgh-centre-south-bridge/index.shtml
Very close to ICMS.

Jurys Inn Edinburgh, 43 Jeffrey Street, Edinburgh EH1 1DH
+44 (0)131 200 3300 - http://www.jurys-edinburgh-hotels.com/
Only a 5 minute walk from ICMS.

Edinburgh City Hotel, 79 Lauriston Place, Edinburgh, EH3 9HZ 
+44 (0)131 622 7979 - http://www.edinburghcityhotel.com/

St Christophers Hostel, 9-13 Market Street, Edinburgh EH1 1DE  (approx 25.00 or less depending on offers available)
+44 (0)20 7407 1856 -  http://www.st-christophers.co.uk/edinburgh-hostels - bookings@st-christophers.co.uk
This is Youth Hostel accommodation.

 If you have any questions about the arrangements of this workshop please contact Moira Spencer at ICMS moira.spencer @ icms.org.uk

 

 

Programme

PDF of Abstracts

Monday 17 July

08:45-09:40

Registration

09:45-10:00

Introductions

10:00-10:40

Elias Stein (Princeton University)        
Dimension-free estimates in harmonic analysis

10:45-11:15

Tea/Coffee outside Lecture Theatre 5, Level 1

11:15-11:55

Victor Lie (Purdue University)        
The pointwise convergence of the Fourier series near $L^1$

12.00-12:40

Detlef Müller  (University of Kiel)        
Maximal functions associated to 2-hypersurfaces with height below 2

12:45-14:00

Lunch in the Maths Base, Level 2

14:00-14:40

Hong Wang (Massachusetts Institute of Technology)        
Bilinear decoupling in R^3

14:45-15:25

Mariusz Mirek (Institute for Advanced Study, Princeton)        
Dimensional free estimates for maximal functions: discrete and continuous perspective

15:30-16:00

Tea/Coffee outside Lecture Theatre 5, Level 1

16:00-16:40

Ruixiang Zhang (Princeton University)        
Endpoint perturbed Brascamp-Lieb inequalities

16:45-17:25

Keith Ball (University of Warwick)        
Rational approximations to zeta

17:30-19:00

Informal wine reception in the Maths Base, Level 2

Tuesday 18 July

10:00-10:40

Michael Cowling (University of New South Wales)        
The Brascamp--Lieb inequality revisited

10:45-11:25

Terence Tao (University of California at Los Angeles)        
The entropy decrement method

11:30-12:00

Tea/Coffee outside Lecture Theatre 5, Level 1

12:00-12:40

Christoph Thiele (Universität Bonn)        
On the foundations of analysis

12:45-13:25

Jonathan Hickman (University of Chicago)
Sharp bounds for oscillatory integral operators via polynomial partitioning

13:30-15:00

Lunch in the Maths Base, Level 2

15:00-15:40

Marina Iliopoulou (University of California, Berkeley)         
Sharp bounds for oscillatory integral operators via polynomial partitioning, part II

15:45-16:25

Tuomas Orponen (University of Helsinki)        
On the packing dimension of planar Furstenberg sets

16:30-17:00

Tea/Coffee outside Lecture Theatre 5, Level 1

17:00-17:40

Sanghyuk Lee (Seoul National University)
Bilinear restriction estimates for surfaces with co-dimension bigger than 1

Wednesday 19 July 

10:00-10:45

William Beckner (University of Texas at Austin)        
On Lie groups and beyond -- Kunze-Stein phenomena, SL(2,R), the Heisenberg group, and the role of symmetry

10:45-11:25

Andreas Seeger (University of Wisconsin-Madison)        
Almost everywhere convergence results for radial multipliers

11:30-12:00

Tea/Coffee outside Lecture Theatre 5, Level 1

12:00-12:40

Tuomas Hytönen (University of Helsinki)        
The matrix-weighted frontier of sharp norm inequalities

12:45

Group photo to be taken

12:50

Free afternoon

17:30

Doors open to the public      

18:00-19:00

Public Lecture by Professor Keith Ball (University of Warwick)
Pools of blood

19:00-19:45

Informal wine reception in the Chapterhouse, Level 1

Thursday 20 July

10:00-10:40

Keith Rogers (Instituto de Ciencias Matemáticas, Madrid)         
Necessary conditions for pointwise convergence of the Schrödinger equation

10:45-11:25

Joshua Zahl (University of British Columbia)        
An improved bound on the Hausdorff dimension of Besicovitch sets in R^3

11:30-12:00

Tea/Coffee outside Lecture Theatre 5, Level 1

12:00-12:40

Betsy Stovall (University of Wisconsin-Madison)        
Endpoint bounds for weighted averages on polynomial-like curves

12:45-13:25

Larry Guth (Massachusetts Institute of Technology)         
Pointwise convergence estimates for the Schrodinger equation

13:30-15:00

Lunch in the Maths Base, Level 2

15:00-15:40

Fulvio Ricci (Scuola Normale Superiore)
Smoothness of multipliers versus smoothness of convolution kernels in the functional calculus of differential operators on Lie group

15:45-16:25

Ciprian Demeter (Indiana University)        
Recent developments in decoupling theory

16:30-17:00

Tea/Coffee outside Lecture Theatre 5, Level 1

17:00-17:40

Michael Christ (University of California, Berkeley)        
Maximizers of certain multilinear functionals

Friday 21 July

10:00-10:40

Neal Bez (Saitama University)         
On the kinetic transport equation

10:45-11:25

Phil Gressman (University of Pennsylvania)        
Nonlinear geometric averages of multilinear and intermediate dimensional types

11:30-12:00

Tea/Coffee outside Lecture Theatre 5, Level 1

12:00-12:40

Nets Katz (California Institute of Technology)        
Kakeya sets in three dimensions

12:45

Close of workshop

 PDF of Abstracts

 

Presentations:

Presentation Details
Ball, Keith
Rational approximations to zeta
View Abstract Down
Beckner, William
On Lie groups and beyond -- Kunze-Stein phenomena, SL(2,R), the Heisenberg group, and the role of symmetry
View Abstract Down
Bez, Neal
On the kinetic transport equation
View Abstract Down
Christ, Michael
Maximizers of certain multilinear functionals
View Abstract Down
Cowling, Michael
The Brascamp--Lieb inequality revisited
View Abstract Down
Demeter, Ciprian
Recent developments in decoupling theory
View Abstract Down
Gressman, Philip
Nonlinear geometric averages of multilinear and intermediate dimensional types
View Abstract Down
Guth, Larry
Pointwise convergence estimates for the Schrodinger equation
View Abstract Down
Hickman, Jonathan
Sharp bounds for oscillatory integral operators via polynomial partitioning
View Abstract Down
Hytönen, Tuomas
The matrix-weighted frontier of sharp norm inequalities
View Abstract Down
Iliopoulou, Marina
Sharp bounds for oscillatory integral operators via polynomial partitioning, part II
View Abstract Down
Katz, Nets
Kakeya sets in three dimensions
View Abstract Down
Lee, Sanghyuk
Bilinear restriction estimates for surfaces with co-dimension bigger than 1
View Abstract Down
Lie, Victor
The pointwise convergence of the Fourier series near $L^1$
View Abstract Down
Mirek, Mariusz
Dimensional free estimates for maximal functions: discrete and continuous perspective
View Abstract Down
Müller, Detlef
Maximal functions associated to 2-hypersurfaces with height below 2
View Abstract Down
Orponen, Tuomas
On the packing dimension of planar Furstenberg sets
View Abstract Down
Ricci, Fulvio
Smoothness of multipliers versus smoothness of convolution kernels in the functional calculus of differential operators on Lie groups
View Abstract Down
Rogers, Keith
Necessary conditions for pointwise convergence of the Schrödinger equation
View Abstract Down
Seeger, Andreas
Almost everywhere convergence results for radial multipliers
View Abstract Down
Stein, Elias
Dimension-free estimates in harmonic analysis
View Abstract Down
Stovall, Betsy
Endpoint bounds for weighted averages on polynomial-like curves
View Abstract Down
Tao, Terence
The entropy decrement method
View Abstract Down
Thiele, Christoph
On the foundations of analysis
View Abstract Down
Wang, Hong
Bilinear decoupling in R^3
View Abstract Down
Zahl, Joshua
An improved bound on the Hausdorff dimension of Besicovitch sets in R^3
View Abstract Down
Zhang, Ruixiang
Endpoint perturbed Brascamp-Lieb inequalities
View Abstract Down

Participants

Name Institution
Akylzhanov, Rauan Imperial College London
Anderson, Theresa University of Wisconsin-Madison
Azzam, Jonas University of Edinburgh
Bakas, Odysseas University of Edinburgh
Ball, Keith University of Warwick
Barcelo, Juan Antonio Universidad Politecnica de Madrid
Beckner, William University of Texas at Austin
Beltran, David University of Birmingham
Benea, Cristina Laboratoire de Mathématiques Jean Leray
Bennett, Jonathan University of Birmingham
Bez, Neal Saitama University
Bramati, Roberto Università degli Studi di Padova
Brocchi, Gianmarco University of Bonn
Bruno, Tommaso Università di Genova
Buschenhenke, Stefan University of Birmingham
Calzi, Mattia Scuola Normale Superiore
Candy, Timothy University of Bielefeld
Carbery, Tony Edinburgh Mathematical Society
Casarino, Valentina Università degli Studi di Padova
Cho, Chuhee Seoul National University
Christ, Michael University of California, Berkeley
Ciatti, Paolo Università di Padova
Cowling, Michael University of New South Wales
Crespo, Eric Latorre Universidad Autonoma de Madrid
Cunanan, Jayson Department of Mathematics, Saitama University
de Kergorlay, Henry-Louis University of Edinburgh
Demeter, Ciprian Indiana University
Dendrinos, Spyridon University College Cork
Dindos, Martin University of Edinburgh
Durcik, Polona University of Bonn
Dyer, Luke University of Edinburgh
Esposito, Massimiliano Imperial College
Felipe, Goncalves University of Alberta
Fischer, Veronique University of Bath
Flock, Taryn University of Birmingham
Forlano, Justin MIGSAA
Fraccaroli, Marco Universität Bonn
Gillespie, Alastair University of Edinburgh
Gilula, Maxim Michigan State University
Greaves, Debbie University of Plymouth
Green, Ben Oxford University
Gressman, Philip University of Pennsylvania
Guo, Shaoming Indiana University Bloomington
Guth, Larry Massachusetts Institute of Technology
Gutierrez, Susana University of Birmingham
Haenninen, Timo University of Helsinki
He, Danqing Zhongshan University
Hejna, Agnieszka University of Wroclaw
Hickman, Jonathan University of Chicago
Hughes, Kevin University of Bristol
Hytönen, Tuomas University of Helsinki
Iliopoulou, Marina UC Berkeley, Department of Mathematics
James-Kahn, Felix MIGSAA
Jung, Joeun Yonsei University
Kania, Edyta University of Wrocław
Katz, Nets California Institute of Technology
Langowski, Bartosz Wroclaw University of Science and Technology
Lee, Sanghyuk Seoul National University
Li, Kangwei Basque Center for Applied Mathematics
Lie, Victor Purdue University
Lisai, Stefania Migsaa
Luca, Renato University of Basel
Madrid Padilla, José Ramón Aalto University
Martini, Alessio University of Birmingham
McIntyre, Finlay MIGSAA
Melkonian, Houry Heriot-Watt University
Mensah, Romeo Heriot-Watt University
Mirek, Mariusz Institute for Advanced Study, Princeton
Morris, Andrew University of Birmingham
Mosincat, Razvan University of Edinburgh
Müller, Detlef University of Kiel
Nakamura, Shohei Tokyo Metropolitan University
Neuman, Anh Martina University of California, Berkeley
Oh, Tadahiro The University of Edinburgh
Orponen, Tuomas University of Helsinki
Palsson, Eyvindur Virginia Tech
Parcet, Javier ICMAT
Pocovnicu, Oana Heriot-Watt University
Ramos, Javier ICMAT
Ramos, João Pedro University of Bonn
Ricci, Fulvio Scuola Normale Superiore
Rogers, Keith Instituto de Ciencias Matemáticas, Madrid
Roos, Joris University of Bonn
Saari, Olli Aalto University
Seeger, Andreas University of Wisconsin-Madison
Sikora, Adam Macquarie University
Simpson, George University of Sussex
Sinclair, Allan University of Edinburgh
Sommer, Frederic Mathematisches Seminar, University of Kiel
Soria, Fernando University Autonoma de Madrid
Stein, Elias Princeton University
Stovall, Betsy University of Wisconsin-Madison
Szarek, Tomasz University of Warsaw
Tao, Terence University of California at Los Angeles
Thiele, Christoph Universität Bonn
Tolomeo, Leonardo University of Edinburgh
Trenberth, William UoE and HWU (MIGSAA)
Valdimarsson, Stefan Islandsbanki
Vargas, Ana Universidad Autonoma de Madrid
Villa, Michele Maxwell Institute Graduate School
Villano, Dominick University of Pennsylvania
Vinuesa, Pablo University of Bath
Vitturi, Marco Laboratoire de Mathématiques Jean Leray
Wang, Hong MIT
Wang, Ruoyi University of Oxford
Wheeler, Reuben MIGSAA
Wilkinson, Mark Heriot-Watt
Wright, Jim University of Edinburgh
Wróbel, Błażej University of Bonn / University of Wrocław
Yung, Po Lam The Chinese University of Hong Kong
Yuzhao, Wang University of Edinburgh
Zahl, Joshua University of British Columbia
Zeng, Zhen University of Pennsylvania
Zhang, Ruixiang Princeton University
Zhang, Xiling University of Edinburgh
Zienkiewicz, Jacek University of Wroclaw