NORTHEASTERN
UNIVERSITY
MATHEMATICS
DEPARTMENT
REPRESENTATION
THEORY AND RELATED TOPICS SEMINAR
Stefan Papadima
(Visiting Northeastern)
Artinian Algebras and Closed Manifolds
ABSTRACT: I
will consider weighted Artinian complete intersections. It is known
that such an algebra satisfies Poincaré duality. So, it is very
natural to ask: when is it actually realized as the cohomology algebra
of a closed smooth manifold? I will look at this question from various
angles, such as: topology (surgery obstructions), arithmetics
(quadratic forms defined over the rationals)...
February 17, 2006
10:30 - 11:30
511
Lake Hall
For
further information visit http://www.northeastern.edu/martsinkovsky/p/rtrt.html
or contact Alex Martsinkovsky <alexmart >at< neu >dot< edu>