D.3 Abstracts

Abstract Books

At registration in Berlin you will also obtain two abstract books, one containing the abstracts of the Plenary and Invited Lectures, and one containing the abstracts of all short communications and poster presentations. The abstract books are already printed. They have a length of 212 and 391 pages, respectively. The electronic versions of the abstract books can be found under the URL:

http://www.mathematik.uni-bielefeld.de/ICM98

After the end of the Congress, the abstracts of the ad-hoc presentations will be added to the electronic version of the abstract book of short communications and poster presentations.

Abstract Submission

Abstracts of Short Communications and Posters should be written in English, French, Russian or German and should have the following form (compare also the enclosed example):

- Section Number (see B.3 Invited Lectures)
- 1991 Mathematics Subject Classification number
- Name and affiliation of author(s)
- Title
- Abstract text (no more than 120 words)

Example Abstract

\textbf{Section:} 2

\textbf{1991 MS Classification:} 17, 18, 55

Loday, Jean-Louis, Universit\'e de Strasbourg, France:
\\
{\bf  Leibniz algebras and their (co)homology.}
\\
A {\it Leibniz algebra} is a vector space equipped with a product
satisfying a variation of the Jacobi identity:
$[x,[y,z]]=[[x,y],z]-[[x,z],y].$ There is a dual notion in the sense
of Koszul duality for operads.  For any Leibniz algebra ${\bf g}$ there is
a (co)homology theory $HL({\bf g})$, which satisfies various properties
including the following: $HL^*({\bf g})$ is a dual Leibniz
algebra. Applications to non-commutative rational homotopy theory will
be presented.  Part of these results is joint work with T.~Pirashvili.

Reference: 
J.-L.~Loday, and  T.~Pirashvili, Universal enveloping algebras of
Leibniz algebras and (co)homology, {\sl Math. Ann. \bf296} (1993), 139--158.

ICM'98 homepage

Please send suggestions and corrections to: helmberg@zib.de
Last modified: August 28, 1998