Effectivity of Standard O-Minimal Results in the Sharply O-Minimal Setting

Explore a 39-minute lecture from the Fields Institute's Thematic Program on Tame Geometry, Transseries and Applications to Analysis and Geometry. Delve into the effectivity of standard o-minimal results in the sharply o-minimal setting, presented by Benny Zak from the Weizmann Institute of Science. Learn about key concepts including the algebraic lemma, gram of lemma, cellular and function versions, reduction of filtration, cylindrical parametrization, and the parametrization of S functions. Gain insights into this complex mathematical topic through a structured exploration of its fundamental components and their applications.

Introduction
Algebraic lemma
Gram of lemma
Cellular version
Function version
Reduction of filtration
Cylindrical parametrization
Finding cylindrical parametrization
Parameterizing S functions