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>