Columbia Mathematics Department Colloquium


 The Łojasiewicz exponent in
analysis, algebra, and geometry


Bernard Teissier

Institut de Mathématiques de Jussieu



I will survey some of the avatars of the concept of Lojasiewicz exponent, originally a key tool in the proof of the possibility to divide a distribution by an analytic function. I will discuss its rationality and its meaning in algebraic geometry. and interpret a recent result of Moret-Bailly in arithmetical algebraic geometry as the existence of a Lojasiewicz exponent in an infinite-dimensional space.


Wednesday, April 24th, 5:00 - 6:00 p.m.
Mathematics 520
Tea will be served at 4:30 p.m.