Abstract
In two seminal papers in the early 1990's
M. Kontsevich defined graph homology, which are
homology of differential graded vector spaces
generated by certain isomorphism classes of oriented
graphs. Via classical invariant theory he showed on
one hand that they could be used to calculate Lie
algebra homology of several infinite dimensional Lie
algebras; and on the other hand related them to such
classical things such as homology of moduli spaces of
Riemann surfaces, stable homology of Out(F_n),
invariants of three manifolds,...
In this talk first I give an overview of these
results, then present a simpler graph subcomplexes
quasi isomorphic to the larger one, and finally if
time allows I will point out the relation of these
stuff with the homology of the spaces of branch
coverings.
Information:
Date:  Thursday, August 2, 2007, 15:0016:00  Place:  Niavaran Bldg., Niavaran Square, Tehran, Iran 
