Meetings/Workshops on Geometry and Topology in Israel

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The 23rd Midrasha Mathematicae: O-minimality and its applications in Diophantine Geometry and Hodge Theory
17 May 2020 - 22 May 2020 • Israel Institute for Advanced Studies at the Hebre, Israel
Organizer:
Israel Institute for Advanced Studies (IIAS) The Hebrew University of Jerusalem
Abstract:
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.
Event listing ID:
1331669
Related subject(s):


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Last updated: 20 February 2020