
THE
FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES
20th
ANNIVERSARY
YEAR

Back2Fields
COLLOQUIUM
SERIES
Fields Institute, Room 230 (map)
October 11, 2012 at 2:00 p.m.
Philipp Hieronymi
University
of Illinois at UrbanaChampaign
Tame
Geometry: A tale of two spirals




Tame
geometry can be described as the study of wellbehaved expansions
of semialgebraic geometry. While it was known that the expansion
by one logarithmic spiral was tame, the question whether the same
is true for two logarithmic spiral remained open for some time.
During the thematic program on ominimal Structures and Real Analytic
Geometry, I was able to answer this question negatively. In this
talk, I will give an introduction to Tame Geometry, explain the
solution of the above problem and present the recent developments
influenced by this solution. In particular, I will discuss how
the result that the mentioned structures are not tame at all,
sheds new light on the question what tameness actually means.
 No prior knowledge in Logic or in semialgebraic geometry is
assumed.
The Back2Fields Colloquium Series celebrates the accomplishments
of former postdoctoral fellows of Fields Institute thematic programs.
Over the past two decades, these programs attracted the rising stars
of their fields and often launched very distinguished research careers.
As part of the 20th anniversary celebrations, this series of colloquium
talks will allow a general mathematical public to become familiar
with some of their work.
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