by
ERGUN
YALCIN
Abstract: Let G be a group and let H*(G,Fp) denote the cohomology algebra of G in mod p coefficients. One of the most
important theorems about the algebra structure of H*(G,F2) is Serre's theorem of 1965 where he states that if G is not an
elementary abelian group, then there exists
nontrivial one dimensional classes x1,...,xm in the
first cohomology group such that B(x1)B(x2)...B(xm)=0 in the cohomology algebra
of G.
I will explain some of the consequences of
this theorem in group cohomology and discuss a
variation of it for 2-groups.
All necessary definitions will be given so
the talk will be accessible to a general audience of algebraic geometers.
References:
[1] J. P. Serre, Sur la dimension cohomologique
des groups profinis, Topology 3 (1965) 413-420.
[2] J.P. Serre, Une relation dans la cohomologie des p-groups, C.R. Acad. Sci.
Paris 304 (1987) 587-590
Date:
Time:
Place: Bilkent,
Mathematics Seminar Room SA-141
Tea and cookies will be served before the
talk.