Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry

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Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry

 12 - 17 May 2008
 ICMS

Scientific Organisers:

  • Raf Cluckers, Université Lille 1/University of Leuven

  • Angus Macintyre, Queen Mary University of London

  • Johannes Nicaise, Université Lille 1

  • Julien Sebag, Université Bordeaux 1

The objective was to realise progress on Motivic Integration by gathering some of the leading specialists active in and around this domain and neighbouring domains such as Rigid Geometry and Model Theory.

The short courses were of particular importance because they offered a survey of some recent developments in domains in full expansion. In particular, it was the first time that all major approaches to non-Archimedean geometry were presented and explained at the same conference. The short course on motivic integration covered the various formalisms developed since Kontsevich’ original work. Since these developments are not cumulative and each of the theories presents its own merits in particular applications, it was quite fruitful to introduce them all and to allow for a comparison of their specific characteristics.

Speakers:

  • Vladimir Berkovich, Weizmann Institute of Science - Non-Archimedean Analytic Spaces (A 4)

  • Yan Soibelman, Kansas State University - Motivic Donaldson-Thomas Invariants

  • Immanuel Halupczok, École Normale Supérieure - Trees of Definable Sets in Z_p 

  • Raf Cluckers, École Normale Supérieure - Integration through Cell Decomposition and B-Minimality (B 3)

  • Vladimir Berkovich, Weizmann Institute of Science - Non-Archimedean Analytic Spaces (A 3)

  • Emmanuel Kowalski, ETH Zürich - Algebraic Exponential Sums and their Uses in Analytic Number Theory

  • Karl Rökaeus, Stockholm University - A Version of Geometric Motivic Integration that Specializes to P-Adic Integration

  • Michel Merle, Université de Nice – Nearby Cycles, Convolution and Composition with a Two Variable Function 

  • Antoine Ducros, Université de Nice – The Image of a Flat Map in Non-Archimedean Geometry: Description via the Quantifyers Elimination for Algebraically Closed Valued Fields

  • Thomas Hales, University of Pittsburgh - Transfer Principle for the Fundamental Lemma

  • Laurent Fargues, CNRS - On Some Results about the Cohomology of Rigid Analytic Spaces Linked to the Local Langlands Correspondence

  • Tasho Statev Kaletha, University of Chicago - The Stabilization of the Trace Formula and the Fundamental Lemma

  • François Loeser, École Normale Supérieure - Motivic Integration via Cell Decomposition and Applications (C 5)

  • Antoine Chambert-Loir, Université Rennes 1 - Igusa Zeta Functions in Diophantine Geometry

  • Michael Temkin, University of Pennsylvania - Desingularization of Quasi-Excellent Schemes Over Q

  • Jan Denef, University of Leuven - Course on Motivic Integration I (C 1)

  • Roland Huber, Bergische Universität Wuppertal - Analytic Adic Spaces (A 5)

  • Siegfried Bosch, Westfälische Wilhelms - Introduction to Formal and Rigid Geometry (A 1)

  • Zoé Chatzidakis, CNRS - The Basic Model Theory of Valued Fields (B 1)

  • Angus Macintyre, University of London - Quantifier Elimination in the P-Adics and their Algebraic Closure, and Issues of Uniformity (B 2)

  • Fumiharu Kato, Kyoto University - Topological Rings in Rigid Geometry

  • Johannes Nicaise, Université Lille 1 - Non-Archimedean Geometry and Complex Singularities (C 2)

  • Thomas Scanlon, University of California - Integration in Valued Fields (after Hrushovski and Kazhdan) (C 4)

Participants

Name
Institution
Matthias, AschenbrennerUniversity of California, Los Angeles
Chetan, BalweUniversity of Pittsburgh
Vladimir, BerkovichWeizmann Institute of Science
Manuel, BlickleUniversity of Essen
Siegfried, BoschWestfälische Wilhelms - Universität Münster
Antoine, Chambert-LoirUniversité Rennes 1
Zoé, ChatzidakisCNRS/Université Paris Diderot - Paris 7
Raf, CluckersUniversité Lille 1/University of Leuven
Georges, ComteUniversité de Nice - Sophia Antipolis
Françoise, DelonCNRS/Université Paris 7
Jan, DenefUniversity of Leuven
Antoine, DucrosUniversité de Nice – Sophia Antipolis
Laurent, FarguesCNRS - Université Paris-Sud
Goulwen, FichouUniversité Rennes 1, France
Thomas, HalesUniversity of Pittsburgh
Immanuel, HalupczokUniverstiy of Leeds
Roland, HuberBergische Universität Wuppertal
Tasho Statev, KalethaUniversity of Chicago
Christian, KappenWestfälische Wilhelms - Universität Münster
Fumiharu, KatoKyoto University
Emmanuel, KowalskiETH Zürich
François, LoeserÉcole Normale Supérieure
Angus, MacintyreQueen Mary University of London
Dugald, MacphersonUniversity of Leeds
Michel, MerleUniversité de Nice - Sophia Antipolis
Matthew, MorrowUniversity of Nottingham
Johannes, NicaiseUniversité Lille 1
Anand, PillayUniversity of Leeds
Michel, RaibautUniversité de Nice - Sophia Antipolis
Karl, RökaeusStockholm University
Thomas, ScanlonUniversity of California, Berkeley
Julien, SebagUniversité Bordeaux 1
Yan, SoibelmanKansas State University
Michael, TemkinUniversity of Pennsylvania
Lou, van den DriesUniversity of Illinois
Willem, VeysKatholieke Universiteit Leuven
Christian, WahleWestfälische Wilhelms - Universität Münster