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Summer School in Tame Geometry

Date: 18.-23.07.2016, Konstanz

Organizers:
Pantelis Eleftheriou (Chair, Konstanz), Salma Kuhlmann (Konstanz), Jonathan Pila (Oxford), Daniel Plaumann (Konstanz), Margaret Thomas (Konstanz)

The summer school offers an introduction to three levels of tame geometry: real algebraic geometry, o-minimality, and tame expansions of o-minimal structures. Specific topics will be covered throughout such as polynomial optimization, definable groups, and the Pila-Wilkie theorem with Diophantine applications. Tutotials and survey lectures will be given by renowned experts, whereas problem and poster sessions will be held to foster interaction between students and speakers. The summer school is funded by the VolkswagenStiftung. Student travel awards were also made available by the Association for Symbolic Logic.

Links:
Summer School Website
Tutorials
Lectures

Tutorials

O-minimal geometry

Tobias Kaiser
University Passau

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Part 1 of 3 (18.07.2016)

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Real algebraic geometry

Daniel Plaumann
University Konstanz

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Tame expansions of o-minimal structures

Phillip Hieronymi
University of Illinois at Urbana-Champaign (UIUC)

Part 1 of 2 (18.07.2016)

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Definable groups

Margarita Otero
University Autónoma de Madrid

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Part 1 of 2 (18.07.2016)

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Pila-Wikie and Diothantine applications

Kobi Peterzil / Margaret Thomas
University of Haifa / University of Konstanz

PDF - Slides (Kobi Peterzil)

Part 1 of 3 (20.07.2016)

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Part 3 of 3 (21.07.2016)

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Lectures

Degree bounds for sum of squares representations

Claus Scheiderer
University of Konstanz

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Stable groups

Daniel Palacín
University of Münster

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Pairs of fields and definable groups

Amador Martin-Pizarro
University of Lyon 1

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Manin-Mumford and Mordell-Lang

Anand Pillay
University of Notre Dame

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Quasi-ordered difference fields

Salma Kuhlmann
University of Konstanz

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Around and about real closed valued fields

Deirdre Haskell
McMaster University

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Yomdin - Gromov parameterizations in non-archimedean geometry

Raf Cluckers
Lille 1 and KU Leuven

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Nash groups

Anand Pillay
University of Notre Dame

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NIP fields

Nadja Hempel
University of Lyon 1

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Definable extension theorems in o-minimal structures

Matthias Aschenbrenner
University of California, Los Angeles (UCLA)

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