O-minimal structures: examples and applications (Zoe Chatzidakis, CNRS - DMA)

07.11.2019 16:15

O-minimality was introduced in the mid-80's by Anand Pillay and Charles Stenihorn. Their definition was inspired by the description of semi-algebraic subsets of the real line.
O-minimality is a property of algebraic structures endowed with a dense linear ordering. If satisfied, it is extremely powerful, implies some very strong uniformity results, and is at the origin of many applications.

I will start my talk with the definition and basic properties of o-minimal structures, then will describe some o-minimal structures - in particular the structure R_{an,exp} which figures promonently in applications. I will end by stating the result of Pila and Wilkie, which counts integer points.


PS. The Colloquium will be followed by an aperitif

Lieu

Room 17

entrée libre