Invited Speakers

R. Cluckers    
(Université de Lille and K. U. Leuven)

N. Gill    
(The Open University)

J. Howie    
(Heriot-Watt University, Edinburgh)

I. Kazachkov    
(University of Oxford)

F. Loeser    
(Université Pierre et Marie Curie, Paris)

H. D. Macpherson    
(University of Leeds)

U. Onn    
(Ben Gurion University of the Negev)

A. Ould Houcine    
(Universités de Lyon and de Mons)

 





Workshop on
Asymptotic
Group Theory
and
Model Theory

March 26-27, 2012

 

Royal Holloway
University of London
Egham, UK

Scientific Advisor:
  Zlil Sela
(Hebrew University of Jerusalem)

Organisers:
Benjamin Klopsch
Christopher Voll

Email Contact:
rhulworkshop2012 at
googlemail dot com

Printable Poster (PDF)


This workshop forms part of the South England Profinite Groups Meetings
which are supported by Scheme 3 of the London Mathematical Society.
The workshop is also funded by the EPSRC and the Department of Mathematics at Royal Holloway, University of London.
We are grateful for the received support.


Scope of the Workshop

Over the last thirty years model-theoretic constructions and techniques have had a significant impact in areas such as number theory, algebraic geometry and group theory. Important roles are played, for instance, by various limit constructions and methods from p-adic and motivic integration.

Asymptotic and geometric group theory are closely interlinked with these ideas. Gromov's celebrated Polynomial Growth Theorem serves both as a cornerstone and as a continuing source of inspiration. Current research connects Gromov's theorem with advances in non-commutative additive combinatorics, in particular regarding the study of approximate groups. Limit groups arise naturally in the exploration of the `algebraic geometry' and first-order theory of groups. They are a crucial feature of Sela's work on the Tarski problems. In the study of zeta functions of groups and rings, one encounters p-adic integrals which generalise Igusa local zeta functions. In this context quantifier elimination results can be used to prove the rationality of Poincaré series arising from the study of integer solutions to polynomial equations. More recently, these kinds of results have been generalised to the context of motivic integrals.

In the workshop we will survey some of the current trends at the interface of model theory and group theory. With a view towards applications in asymptotic and geometric group theory, the workshop will focus on three broad topics:

  • Approximate groups and Gromov's Polynomial Growth Theorem
  • Limit groups, group equations and related topics
  • Motivic and p-adic integration with applications to groups.

The speakers are encouraged to present key methods and open problems in order to initiate discussions amongst the participants. There will be ample opportunities for informal interactions.

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Invited Talks

Please note that, due to the illness of two invited speakers, there were some last minute changes to the programme. Those speakers who used electronic slides in their talks kindly agreed to make them available on this site.

  • Raf Cluckers:   New p-adic rationality results
      (cancelled)
     
  • Nick Gill:   Solvable linear K-approximate groups
      (slides of N. Gill's talk are available as a PDF file)
     
  • Jim Howie:   Finitely presentable residually free groups
      (slides of J. Howie's talk are available as a PDF file)
     
  • Ilya Kazachkov:   Group actions on real cubings and limit groups over partially commutative groups
      (slides of I. Kazachkov's talk are available as a PDF file)
     
  • François Loeser:   Ramification of semi-abelian varieties and motivic integration
      (cancelled)
     
  • H. Dugald Macpherson:   Model theory and approximate groups
     
  • Uri Onn:   Representation growth of arithmetic groups and
      Representation zeta functions of compact p-adic analytic groups and base change
     
  • Abderezak Ould Houcine:   On the elementary theory of free groups
      (slides of A. Ould Houcine's talk are available as a PDF file)
     
  • Christopher Voll:   Representation zeta functions of p-adic analytic pro-p groups and p-adic integration
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Registration and Accommodation

The registration is closed and the workshop has taken place. Thanks to all participants for making the meeting a success.

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Location, Schedule and Programme

The workshop will take place in the McCrea building of Royal Holloway, University of London (building 17 on the campus plan)

Invited speakers are listed at the top. The titles of their talks are indicated above.

Here are the final schedule of talks and the preliminary detailed programme (PDF).

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List of Confirmed Participants - as of 26 March 2012 -
  • Theofanis Alexoudas (Royal Holloway, University of London, UK),
  • Abdulsatar AL-Juburie (University of Newcastle, UK),
  • Yago Antolin Pichel (University of Southampton, UK),
  • Stacey Aston (University of Newcastle, UK) - cancelled due to illness,
  • Yiftach Barnea (Royal Holloway, University of London, UK),
  • Jack Button (University of Cambridge, UK),
  • Maurice Chiodo (University of Cambridge, UK),
  • Raf Cluckers (Université de Lille, France) - cancelled due to illness,
  • Jamshid Derakhshan (University of Oxford, UK),
  • Benjamin Druart (Université Joseph Fourier - Grenoble, France),
  • Ben Fairbairn (Birkbeck, University of London, UK),
  • Eugenio Giannelli (Royal Holloway, University of London, UK),
  • Nick Gill (The Open University, UK),
  • Gary Greaves (Royal Holloway, University of London, UK),
  • Jokke Häsä (Imperial College London, UK),
  • Jim Howie (Heriot-Watt University, UK),
  • Ilya Kazachkov (University of Oxford, UK),
  • Ana Khukhro (University of Southampton, UK),
  • Jonathan Kiehlmann (Imperial College London, UK),
  • Benjamin Klopsch (Royal Holloway, University of London, UK),
  • Tristan Kuijpers (KU Leuven, Belgium),
  • Matthew Levy (Imperial College London, UK),
  • Alastair Litterick (Imperial College London, UK),
  • François Loeser (Université Pierre et Marie Curie, Paris, France) - cancelled due to illness,
  • Angus Macintyre (Queen Mary, University of London, UK),
  • H. Dugald Macpherson (University of Leeds, UK),
  • Chris Norman (Royal Holloway, University of London, UK),
  • Uri Onn (Ben-Gurion University, Israel),
  • Abderezak Ould Houcine (Université de Lyon, France),
  • Tobias Rossmann (Universität Bielefeld, Germany),
  • Jan-Christoph Schlage-Puchta (Universiteit Gent, Belgium),
  • Rob Snocken (University of Southampton, UK),
  • Alexander Stasinski (University of Durham, UK),
  • Diego Sulca (K. U. Leuven, Belgium),
  • Christopher Voll (Universität Bielefeld, Germany),
  • Mark Wildon (Royal Holloway, University of London, UK),
  • Mariano Zeron (University of Cambridge, UK),
  • Michele Zordan (Universität Bielefeld, Germany).
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Practical Information
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last significant update 31.03.2012
please bring corrections to the attention of the organisers