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

This is a
joint effort and we need volunteers to cover the material.

January 28,

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

April 1,

April 8, Ben Jones, Deligne’s mixed Hodge
structures for complete projective varieties with only normal crossings
singularities

April 15-22,