The Ohio State University


announces the
1999 Zassenhaus Lectures
to be given by

Maxim Kontsevich

Maxim Kontsevich
l'Institut des Hautes Études Scientifiques

on the topic

"Operads and Deformation Quantization"

Tue. Feb. 23 4:30 pm UH014
Wed. Feb. 24 4:30 pm JR300
Th. Feb. 25 2:30 pm EA170

UH014 is in University Hall, 230 North Oval Mall,
JR300 is in the Journalism Building, 242 West 18th Avenue,
and Room EA170 is in the Math Annex, 209 West 18th Avenue.


The theory of operads is a convenient language describing various algebraic structures. For example, there are operads corresponding to the classes of Lie algebras, of associative algebras, etc. I will show how using operads one can give a new proof (after D.Tamarkin) of the existence of a noncommutative deformation of the algebra of functions on a Poisson manifold. Also I will introduce an infinite hierarchy of algebraic structures generalizing the usual situation "an algebra acts on a vector space".

Introduction to operads
Introduction to deformation theory
Deligne's conjecture on Hochschild cohomology and its generalizations
Formality of the chain operad of small d-dimensional discs operads
Applications to the deformation quantization

About Maxim Kontsevich

Maxim Kontsevich was born August 25, 1964 in Khimki, former U.S.S.R. He attended Moscow State University and then became a junior researcher at the Institute for Problems of Information Transmission in Moscow. He obtained a doctorate in mathematics at the University of Bonn in 1992, and was appointed professor at the University of California at Berkeley in 1993. He also held visiting positions at Harvard, Max-Planck-Institut für Mathematik, the Institute for Advanced Studies, and Rutgers. In 1995 he was appointed professor at l'Institut des Hautes Études Scientifiques. In 1998 Kontsevich was awarded the Fields Medal at the International Congress of Mathematicians in Berlin, in recognition for his outstanding work in mathematical physics, algebraic geometry and topology.

The Work of Maxim Kontsevich (pdf) - laudation by Clifford Taubes, from the PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, Berlin 1998, published by Documenta Mathematica.


Prof. Kontsevich will be using MW756 during his stay. There will be a reception (wine & cheese) in MW724 after his first talk. We shall be going out with our guest for dinner on Thursday, Feb. 25 (time and place will be announced later).

Lecture Notes

Due to popular demand, we are placing a preliminary very rough and sketchy set of lecture notes from Maxim Kontsevich's talks on our web pages. They are in Adobe Acrobat (pdf) format:

(Notes scribbled by Zig Fiedorowicz.)

The following link points to papers of Maxim Kontsevich and Dmitry Tamarkin on the XXX Mathematics Archive