Hodge Theory Working Seminar-Spring 2005
In the 1930’s a British mathematician by the name of William Hodge showed that the homology of a compact smooth algebraic manifold has a very rich structure which impacts its topology.
A few decades later, a Belgian mathematician by the name of Pierre Deligne
showed that this type of structure exists on any algebraic variety, be it smooth or singular, compact or non compact.
The goal of this working seminar is to understand Deligne’s influential paper “Theorie de Hodge,II” , starting from scratch.
The seminar will take place Fridays from to in 258 Hurley.
This is a joint effort and we need volunteers to cover the material.
February 4, John Harper: Derived functors and hypercohomology
February 11, Daniel Cibotaru: The cohomology of sheaves
February 25, Allegra Berliner: Spectral Sequences and All That
March 18, Mario Maican: The Hodge and Lefschetz decompositions of compact Kahler manifolds