announces the

1999 Zassenhaus Lectures

to be given by

l'Institut des Hautes Études Scientifiques

France

on the topic

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".

- PLAN
- 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

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).

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:

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