Thematic Program on Tame Geometry, Transseries and Applications to Analysis and Geometry
January 1 - June 30, 2022
Description
This program focuses on various research directions in tame geometry. The most classical of these is the concept of o-minimal structures, with its ties to resolution of singularities and integration. In addition, three possible generalized tame settings are considered: Hardy fields and transseries as a universal domain for non-oscillatory phenomena; a complex analytic extension of o-minimal geometry; and notions of tameness for real analysis that strictly extend o-minimality. There is much ongoing work, building on recent results in these areas, that exhibits a perhaps surprising amount of interconnectedness between them. It is these types of interactive projects that our program will pursue.
Some of the topics represented at this program are:
- O-minimal structures
- Resolution of singularities and preparation theorems
- Parametric integration of tame functions
- Hardy fields and transseries
- Tame geometry and complex analysis
- Tameness beyond o-minimality
Workshops and Conferences
Special and Public Lectures
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Coxeter Lecture Series: Yulij Ilyashenko
May 25 - 27, 2022
Courses
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Graduate Course on Transseries and Asymptotic Analysis
January 1 - June 30, 2022
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Graduate Course on Tame Phenomena Over the Real Field
January 1 - June 30, 2022
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Graduate Course on O-minimality and Applications
January 1 - June 30, 2022