Entrance hall of the ICMS

EU-Young and Mobile Workshop: Dynamical Systems and Number Theory

May 17, 2010 - May 19, 2010

15 South College, Edinburgh

Organisers

Name Institution
Marklof, Jens University of Bristol

Principal Speakers:

Alex Eskin (University of Chicago)
Elon Lindenstrauss (Princeton University/Hebrew University of Jerusalem)
Philippe Michel (EPF Lausanne)
Mark Pollicott (Warwick University)
Sanju Velani (University of York)
Tamar Ziegler (Technion)

This workshop on the modern frontiers of Dynamical Systems and Number Theory is the first EU-Young and Mobile Workshop. It is a joint initiative of the European Research Councils, and will provide support for a limited number of young* European researchers. The deadline for applications has now closed.

* less than 10 years after PhD

Sponsors to date

Engineering and Physical Sciences Research Council
Deutsche Forschungsgemeinschaft
Nederlandse Organisatie voor Wetenschappelijk Onderzoek
Russian Academy of Sciences
Istituto Nazionale di alta Matematica
i-MATH

 

Arrangements

The workshop will comprise

  • 60 minute invited principal lectures
  • 30 minute contributed talks
  • Workshop sessions on selected open problems
  • Poster session
  • Conference dinners

Participation is by invitation only.  This workshop is now full and applications are closed.

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. If you do require a visa, ICMS can provide a signed invitation letter.

Venue
The workshop will be held in two locations in Edinburgh - 15 South College Street and the Hugh Robson Building, George Square (within 5 - 10 minute walking distance of each other). All lectures will be held in The Robson Lecture Theatre on the ground floor of the Hugh Robson Building. Lunch, refreshments and parallel workshops will take place in 15 South College Street. To view details of the lecture theatre and a list of the audio-visual equipment available click here. Follow this link for a map showing the location of 15 South College Street and the Hugh Robson Building.  This map may also prove useful. 

Wireless Access
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.

Accommodation
ICMS will arrange en-suite rooms in hotels and university accommodation nearby for those who have requested this. Accommodation is typically about 10 to 30 minutes walk from 15 South College Street. Internet access is not guaranteed.

Meals and Refreshments
A light buffet lunch, morning and afternoon refreshments will be provided on each day of the workshop in the Chapterhouse on the ground floor of 15 South College Street.

Workshop dinners will take place on:

  • Monday 17 May at 19.00 in Howie's Restaurant, 29 Waterloo Place, Edinburgh, EH1 3BQ
  • Tuesday 18 May at 19.00 in The Magnum Restaurant, 1 Albany Street, Edinburgh, EH1 3PY

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

Lothian buses charge 1.20 GBP for a single journey and 3.00 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 15 South College Street. 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, it is your own responsibility to ensure that you have adequate travel insurance to cover your trip.

Conference Fee
There will be a conference fee of 200.00 GBP unless funded by EPSRC. This fee will cover the cost of your bed and breakfast accommodation up to 3 nights and the workshop dinner on Monday evening (see further details under "Financial Arrangements"). Lunch on Monday, Tuesday and Wednesday, refreshments each day and the workshop dinner on Tuesday night will be provided.

Registration
Registration will take place 08.45 - 09.35 on Monday 17 May 2010 in the Chapterhouse on the ground floor of 15 South College Street, Edinburgh.

Poster Session
There will be a poster session during the workshop in the Chapterhouse of 15 South College Street (see programme).  Anyone wishing to present a poster is invited to do so. We have up to 20 spaces available.  If you would like to present a POSTER, please let Johanna Kytöharju know. Ideally posters should be A1 size.

Financial Arrangements
Your individual financial arrangements will be laid out in your invitation and final email.

The workshop is sponsored by the following funding agencies:

Engineering and Physical Sciences Research Council
Deutsche Forschungsgemeinschaft
Nederlandse Organisatie voor Wetenschappelijk Onderzoek
Russian Academy of Sciences - Russian Foundation for Basic Research
Istituto Nazionale di alta Matematica
i-MATH

If you have any questions related to your funding, please contact Caterina Mora at EPSRC or the relevant agency above.

Unless otherwise stated in your invitation or further correspondence, participants will be asked to pay a conference fee of 200.00 GBP in advance. This fee will cover the cost of your bed and breakfast accommodation up to 3 nights and the workshop dinner on Monday evening. Additional nights will be charged at 55.00 GBP per night. Lunch on Monday, Tuesday and Wednesday, refreshments each day and the workshop dinner on Tuesday night will be provided. This can be paid by providing credit/debit card details. Please note we do not accept American Express or Discover Card. 

Please pay this fee in advance by using this credit or debit card payment form. This same form can be used to pay for extra nights' accommodation. The form should be printed out, completed and faxed back (as email is not a secure way of sending credit card information). The fax number is on the form. If you are unable to provide credit/debit card details, please email Johanna Kytöharju.

Programme

The workshop will be held in two locations in Edinburgh - 15 South College Street and the Hugh Robson Building, George Square (within 5 - 10 minute walking distance of each other). All lectures will be held in The Robson Lecture Theatre on the ground floor of the Hugh Robson Building. Lunch, refreshments and parallel workshops will take place in 15 South College Street.

Registration will take place 08.45 - 09.35 on Monday 17 May 2010 in the Chapterhouse on the ground floor of 15 South College, Edinburgh. 

The workshop ends on Wednesday afternoon of 19 May 2010 at 16.10.

Please see further details below the programme.

Monday 17 May 2010

08.45-09.35

Registration & coffee, Ground Floor, 15 South College

09.45-10.00

Welcome & introduction, The Robson Lecture Theatre, Hugh Robson Building

10.00-11.00

Mark Pollicott (University of Warwick)
Zeta functions in number theory, dynamical systems and geometry

11.15-12.15

Alex Eskin (University of Chicago)
TBA

12.30-13.45

Lunch at 15 South College

14.00-14.30

Barak Weiss (Ben Gurion University)
Minkowski's conjecture - the dynamical perspective view presentation

14.30-15.00

Igor Wigman (KTH)
Fluctuations of the nodal length of random Laplace eigenfunctions

15.00-15.30

Charlene Kalle (University of Warwick)
Beta-expansions, natural extensions and multiple tilings

15.40-16.20

Tea/Coffee & poster session at 15 South College

16.30-17.30

15 two-minute talks *

19.00

 Workshop Dinner - Howies, 29 Waterloo Place, Edinburgh


Tuesday 18 May 2010

09.00-10.00

Elon Lindenstrauss (The Hebrew University of Jerusalem)
Homogeneous and non-homogenous orbit closures for the action of the diagonal group

10.10-10.30

Tea/Coffee at 15 South College

10.40-11.40

Tamar Ziegler (Technion - Israel Institute of Technology)
On and around the Green - Tao transference principle

11.50-12.20

Michael Björklund (The Hebrew University of Jerusalem)
On the ergodic theory of sumsets

12.30-13.45

Lunch at 15 South College

14.00-14.30

Alejandro Luque (Universitat de Politècnica de Catalunya)
Diophantine Arnold tongues of critical maps view presentation

14.30-15.00

Anke Pohl (ETH Zurich)
Maas cusp forms for Hecke triangle groups, closed geodesics and invariant measures

15.00-15.30

Alexander Bufetov (Steklov Mathematical Institute & Rice University)
Limit theorems for translation flows

15.40-16.20

Tea/Coffee & poster session at 15 South College

16.30-18.30

Parallel workshops at 15 South College

19.00  Workshop Dinner - The Magnum Restaurant, 1 Albany Street, Edinburgh 

 

Wednesday 19 May 2010

09.00-10.00

Sanju Velani (University of York)
Littlewood, Schmidt and multiplicatively badly approximable sets

10.10-10.30

Tea/Coffee at 15 South College

10.40-11.10

Tobias Mühlenbruch (Fern Universität in Hagen)
Continued fractions and Hecke triangle groups view presentation

11.10-11.40

Luca Marchese (Université de Genève)
Khinchin type conditions and Teichmuller flow

11.40-12.30

Tea/Coffee and discussion at 15 South College

12.30-13.45

Lunch at 15 South College


* PDFs of the two-minute talks
Christoph Aistleitner, Orestis Georgiou, Oleg German, Anish Ghosh, Alan Haynes, Jens Marklof, Anke Pohl, Anders Södergren, Arturo Vieiro, Xin Li

Principal Lectures
There will be six principal lectures, two each morning, to give an overview over current hot research areas at the interface of number theory and dynamical systems. Speakers will be asked to conclude their lectures with a discussion of future research directions and open problems in their field.

Research Workshops
There will be four parallel research workshops on Tuesday evening (see programme), led by the principal speakers, whose aim is to initiate interaction and possibly collaboration between participants on these open problems. The format of the workshops will be completely informal.

Contributed Talks
Thank you to all who have suggested topics for contributed talks. All the suggested talks are very interesting, but due to limited time we are unable to accommodate every talk. The main criterion for the final selection was to obtain a varied program that covers most areas related to the conference theme. The contributed talks will be 25 minutes and 5 minutes for discussion. Could all speakers please send their PDF or PowerPoint slides to Johanna Kytöharju by Tue 11 May, so we can upload them in advance.

Two Minute Short Talks
All participants who will not give a 25 minute talk are invited to present their research in a two minute short talk. The organiser does this regularly at Bristol and it is actually great fun. The time limit is strict therefore we recommend that you prepare at most three slides and have a rehearsal. There will be time for 1-2 short questions after each talk. Please send the PDF or PowerPoint slides to Johanna Kytöharju by Tue 11 May, so we can upload them in advance.

Poster Session
If you would like to present a poster, please let Johanna Kytöharju know. We have up to 20 spaces available. Ideally posters should be A1 size. The posters will be in the Chapter House or the Atrium of of 15 South College Street. Posters can be put up during lunch break on Monday.  This will be an ideal vehicle to present your research.

 

Presentations:

Presentation Details
Björklund, Michael
On the ergodic theory of sumsets
View Abstract Down
Bufetov, Alexander
Limit theorems for translation flows
View Abstract Down
Eskin, Alex
TBA
View Abstract Down
Kalle, Charlene
Beta-expansions, natural extensions and multiple tilings
View Abstract Down
Lindenstrauss, Elon
Homogeneous and non-homogenous orbit closures for the action of the diagonal group
View Abstract Down
Luque, Alejandro
Diophantine Arnold tongues of critical maps
View Abstract Down
Marchese, Luca
Khinchin type conditions and Teichmuller flow
View Abstract Down
Michel, Philippe
A survey on automorphic periods
View Abstract Down
Mühlenbruch, Tobias
Continued fractions and Hecke triangle groups
View Abstract Down
Pollicott, Mark
Zeta functions in number theory, dynamical systems and geometry
View Abstract Down
Velani, Sanju
Littlewood, Schmidt and multiplicatively badly approximable sets
View Abstract Down
Weiss, Barak
Minkowski's conjecture - the dynamical perspective
View Abstract Down
Wigman, Igor
Fluctuations of the nodal length of random Laplace eigenfunctions
View Abstract Down
Ziegler, Tamar
On and around the Green - Tao transference principle
View Abstract Down

Participants

Name Institution
Aistleitner, Christoph Montanuniversität Leoben
Badziahin, Dzmitry The University of York
Beresnevich, Victor The University of York
Björklund, Michael The Hebrew University of Jerusalem
Bufetov, Alexander Steklov Mathematical Institute & Rice University
Di Nasso, Mauro University of Pisa
Egger, Sebastian Universität Ulm
Eskin, Alex University of Chicago
Georgiou, Orestis Toshiba Research Europe Limited
Ghosh, Anish University of East Anglia
Gorodnik, Alex University of Bristol
Haynes, Alan University of York
Jordan, Thomas University of Bristol
Kalle, Charlene University of Warwick
Knight, Georgie Queen Mary, University of London
Kurlberg, Per KTH
Lee, Siu Lun Alan University of Bristol
Li, Xin University of Muenster
Lindenstrauss, Elon The Hebrew University of Jerusalem
Luque, Alejandro Universitat de Politècnica de Catalunya
Mahdi, Adam Universitat Autònoma de Barcelona
Marchese, Luca Université de Genève
Marklof, Jens University of Bristol
Michel, Philippe EPF Lausanne
Mühlenbruch, Tobias Fern Universität in Hagen
Munday, Sara University of St Andrews
Pohl, Anke ETH Zurich
Pollicott, Mark University of Warwick
Slipantschuk, Julia ETH Zurich
Södergren, Anders Uppsala University
Strömberg, Fredrik TU Darmstadt
Taelman, Lenny EPFL Lausanne & Mathematisch Instituut Leiden
Ulcigrai, Corinna University of Bristol
Velani, Sanju University of York
Vieiro, Arturo Universitat de Barcelona
Weiss, Barak Ben Gurion University
Weiss, Christian Max Planck Institute for Mathematics
Wigman, Igor KTH
Ziegler, Tamar Technion - Israel Institute of Technology