Algebraic geometry seminar

Venue:
UNSW, Red Centre, 4082
Time:
Wednesday, 4:00 pm
Contact:
hugo at maths dot unsw dot edu dot au
kenneth at maths dot unsw dot edu dot au
About:
This is a seminar series aimed at graduate students (and courageous honours students!) who are interested in algebairc geometry. Last year we dealt with the basics of scheme theory, looking at chapters II,III and V. We then looked at the Minimal Model Program for surfaces via Matsuki's Introduction to the Mori Program. This year we have begun to look at etale cohomology. Here is an information sheet about what we are doing now and seminar notes may be found below. These notes are pretty much taken from Milne's online notes (except the bits on spectral sequences).

Schedule:

Date Speaker Title
04-04-2007 Hugo Bowne-Anderson etale cohomology: sheaves,  cohomology and grothendieck topologies
11-04-2007 Hugo Bowne-Anderson etale cohomology: what etale maps look like
18-04-2007 Hugo Bowne-Anderson etale cohomology: degrees, sites and derived functor cohomology
25-04-2007 Hugo Bowne-Anderson etale cohomology: the cohomology of G_m
02-05-2007
 Kenneth Chan
 spectral sequences: overview
09-05-2007
 Kenneth Chan
 spectral sequences: the grothendieck spectral sequence

Archive:

Date Speaker Title
04-10-2006 Hugo Bowne-Anderson Introduction to the Minimal Model program.
11-10-2006 Hugo Bowne-Anderson See above
18-10-2006 Kenneth Chan Cone theorem and contraction theorem
25-10-2006 Kenneth Chan Mori fibre spaces and Castelnuovo's rationality criterion
01-11-2006 Kenneth Chan Surfaces of Kodaira dimension 0, 1
08-11-2006 Hugo Bowne-Anderson The abundance theorem (Kodaira dimension = 0)
15-11-2006 Hugo Bowne-Anderson The Enriques Classification of Surfaces
29-11-2006 Ley Wilson The Birch and Swinnerton-Dyer Conjecture
06-12-2006 Kenneth Chan The Brauer group of a field
Resources: