Topology of Algebraic Varieties
This is a learning seminar on the topology of algebraic varieties. We will cover Lefschetz theory, intersection homology, perverse sheaves, and applications to representation theory.
More information on this seminar series can be found at the following link:
http://wiki.math.toronto.edu/TorontoMathWiki/index.php/Topology_of_Algebraic_Varieties_Learning_Seminar
Details
Cohomology of families of smooth projective varieties
by
Stephen Morgan
(
www)

University of Toronto
Time: 09:30 (
Tuesday, Jan. 19, 2010)
Location: BA6180, 40 St. George St
Abstract:
A family of smooth projective varieties is a smooth projective map. The cohomology of the fibres of this map carry a representation of the fundamental group of the base  this is called the monodromy of the family. We will define this monodromy representation and explain the relationship between the cohomology of the total space and the cohomology of these local systems on the base.
Dates in this series
 · Tuesday, Jan. 19, 2010:
Cohomology of families of smooth projective varieties (Stephen Morgan)
 · Tuesday, Jan. 26, 2010:
Intersection Homology Theory (Mikhail Mazin)
 · Tuesday, Feb. 02, 2010:
Intersection homology (continued) (Mikhail Mazin)
 · Tuesday, Feb. 09, 2010:
Sheaf Cohomology, Derived and Triangulated Categories (Arthur Huang)
 · Tuesday, Feb. 23, 2010:
Sheaf Cohomology, Derived and Triangulated Categories (Continued) and ICSheaves (Arthur Huang/Omar Antolín Camarena)
 · Tuesday, Mar. 02, 2010:
ICsheaves and Perverse Sheaves (Omar Antolín Camarena)
 · Tuesday, Mar. 09, 2010:
Perverse Sheaves and Decomposition theorem I (Omar Antolín Camarena and Chris Brav)
 · Tuesday, Mar. 16, 2010:
Applications of the decomposition theorem (Chris Brav)
 · Tuesday, Mar. 23, 2010:
Semismall maps and Springer theory (Sergey Arkhipov)
 · Tuesday, Mar. 30, 2010:
Semismall maps and Springer theory  Part II (Sergey Arkhipov)
 · Tuesday, Apr. 13, 2010:
KazhdanLusztig polynomials (Brad HanniganDaley)
 · Thursday, Apr. 15, 2010:
The Geometric Satake Correspondence (Bruce Fontaine)
 · Tuesday, Apr. 20, 2010:
The RiemannHilbert Correspondence (Daniel Rowe)