The 23rd Midrasha Mathematicae: o-minimality and its applications in diophantine geometry and Hodge theory

Event date: May 17-22, 2020

General Director:  Peter Sarnak (IAS Princeton)

 

Co-Directors:

Gal Binyamini, Weizmann Institute of Science
Itay Kaplan, The Hebrew University of Jerusalem
Kobi Peterzil, University of Haifa
Jonathan Pila, University of Oxford
Jacob Tsimerman, University of Toronto

 

In recent years a remarkable new link has been unfolding between o-minimality (a branch of model theory) on the one hand, and Diophantine geometry and Hodge theory on the other. It has been discovered that some central objects of study in the latter two areas, such as theta functions and period maps, can be studied within the structure R_{an,exp} - an o-minimal structure that has long been an object of investigation in o-minimal geometry. A combination of ideas from these three areas have led to resolutions of several outstanding conjectures in Diophantine geometry and, more recently, in Hodge theory.

The goal of this workshop will be to introduce these three different areas and their fruitful interactions, and to serve as a bridge between experts already working in some of these fields. The schedule will consist of tutorial minicourses on the three main topics (o-minimality, Diophantine geometry and Hodge theory) with a focus on the areas where they intersect; and more advanced research talks by experts in each of these areas.

 

Lecturers:

Benjamin Bakker, University of Georgia
Fabrizio Barroero, Roma Tre University
Yohan Brunebarbe, University of Bordeaux
Laura Capuano, Polytechnic University of Turin
Raf Cluckers, University of Lille
Christopher Daw, University of Reading
Hélène Esnault, Freie Universität Berlin / IAS Princeton
Ziyang Gao, Mathematics Institute of Jussieu
Gareth Jones, University of Manchester
Tobias Kaiser, University of Passau
Bruno Klingler, Humboldt University of Berlin
François Loeser, Mathematics Institute of Jussieu
Orit Raz, The Hebrew University of Jerusalem
Sergei Starchenko, University of Notre Dame
Emmanuel Ullmo, Institut des Hautes Études Scientifiques
Alex Wilkie, University of Oxford
Umberto Zannier, Scuola Normale Superiore di Pisa

Mini- course Lecturers:
Philipp Habegger, University of Basel
Thomas Scanlon, University of California, Berkeley
Jacob Tsimerman, University of Toronto

 

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