Joint Number Theory Seminars at Beijing

Monday, July 7, 2008

2008-07-09 Li Li: Decomposition Theorem and the Topology of Algebraic Maps(I)


报告人:Prof. Li Li (Univ. of Illinois at Urbana-Champaign, USA)

时间:2008-07-09 上午 9:00 - 11:30


Abstract: These talks give an introduction to the intersection cohomology, perverse sheaf and the Decomposition Theorem of Beilinson, Bernstein, Deligne and Gabber. I will first focus on two concrete examples: the resolution of surface singularities and the map from a surface to a curve. Then we will talk on perverse sheaves and the general form of the Decomposition Theorem. Finally the geometrical proof of the theorem by de Cataldo and Migliorini using intersection forms will sketched.