Recent Developments in the Applications of Model Theory to Algebraic, Analytic and Diophantine Geometry

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Recent Developments in the Applications of Model Theory to Algebraic, Analytic and Diophantine Geometry

 07 - 11 Jul 2014

ICMS, 15 South College Street Edinburgh
  • Paola D'Aquino, Seconda Università di Napoli
  • Jochen Koenigsmann, University of Oxford
  • Margarita Otero, Universidad Autónoma de Madrid
  • Alex Wilkie, University of Manchester
  • Boris Zilber, University of Oxford

About:

Model theory is a particularly active branch of mathematical logic. Since its beginnings, it has had connections with several other areas of mathematics with model theory being applied to algebraic, analytic and diophantine geometry. One leading figure in the field is Angus Macintyre. To mark Professor Macintyre’s retirement the organisers have taken the opportunity torun this workshop. Photographs can viewed here.

Speakers:

  • Marek Karpinski, University of Bonn - On VC Dimension of Pfaffian Networks and Formulas

  • Ivan Tomasic, Queen Mary University - Applications of Difference Algebraic Geometry 

  • Deirdre Haskell, McMaster University - Towards Understanding Domination by the Residue Field in Expansions of Convexly Valued Ordered Fields 

  • Antongiulio Fornasiero, Seconda Universitá di Napoli - Topology in Definably Complete Structures

  • Jonathan Pila, University of Oxford  - Arithmetic and Functional Transcendence Around Schanuel's Conjecture

  • Gareth Jones, University of Manchester - Improvements in the Pila-Wilkie Theorem for Curves

  • Raf Cluckers, Université Lille 1/University of Leuven - Motivic Integration for all P-adic Fields

  • Ehud Hrushovski, Hebrew University of Giv'at Ram - Voyage to the Land of Erdös

  • Frank Wagner, Université Claude Bernard Lyon-1  - A Fitting Theorem for Simple theories

  • Françoise Point, Mons University - On Definable Groups in Differential Topological Fields   

  • Martin Bays, McMaster University - Universal Covers of Commutative Finite Morley Rank Groups

  • François Loeser, École Normale Supérieure - Geometry of P-adic Definable Sets

  • Julia Gordon, University of British Columbia - Applications of Motivic Integration to Harmonic Analysis on P-adic Groups

  • Alice Medvedev, City University of New York - Algebraic Dynamics and the Model Theory of Difference Fields

  • Angus Macintyre, Queen Mary University of London - Pointwise Definability in Zilber's Exponential Fields

  • Zoé Chatzidakis, CNRS/Université Paris Diderot - Model theory of Difference Fields - a Survey

  • Chloé Perin, Institut de Recherche Mathématique Avancée - Forking in the Free Group

  • David Marker, University of Illinois at Chicago - Representing Scott Sets in Algebraic Settings

  • Jamshid Derakhshan, University of Oxford - Model Theory of the Ring of Adeles of a Number Field

  • Gregory Cherlin, Rutgers University - Finite Binary Homogeneous Structures   

  • Sergei Starchenko, University of Notre Dame - Ramsey-Type Theorems in Certain NIP Theories

  • Jan Denef, University of Leuven - On a Conjecture of Colliot-Thélène

  • Lou van den Dries, University of Illinois - The Model Theory of the Differential Field of Transseries   

  • Franziska Jahnke, Universität Münster - Definable Henselian Valuationsa