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,