NORTHEASTERN UNIVERSITY
MATHEMATICS DEPARTMENT

REPRESENTATION THEORY AND RELATED TOPICS SEMINAR


David Massey

(Northeastern University) 

 

Perverse Sheaves and the Derived Category
in the Study of Singularities
 

 

ABSTRACT:  Many people believe that the machinery of the derived category is too technical, and is easily avoidable in studying singular spaces. In this talk, we will look at three specific examples of problems that are formidable without the derived category, and are mere exercises once one knows basic results about perverse sheaves and Verdier dualizing. We look at a problem on Betti numbers of Milnor fibers for one-dimensional hypersurface singularities, a problem on local systems on complements of hyperplane arrangements, and a problem on Betti numbers of the complex and real links of an isolated complete intersection singularity.


Date: November 21, 2003
Time: 10:30 - 11:30
511 Lake Hall


For further information visit http://www.northeastern.edu/martsinkovsky/p/rtrt.html  or contact Alex Martsinkovsky <alexmart@neu.edu>