The goal of this learning seminar is to understand motivic cohomology and its relation to intersection theory and geometry. We will attempt to meet weekly, following the outline of the syllabus below.
The seminar will meet Wednesdays at 3PM in MS 5138.
Email myself at jas@math.ucla.edu or Logan at loganrhyslop@gmail.com for any information.
| Talk | Speaker | Notes |
| Introduction and Motivation | Logan Hyslop | |
| Intersection Theory | ||
| Computations | ||
| Higher Chow Groups and Applications | ||
| Chow Groups of Classifying Spaces | ||
| Categories of Motives | ||
| Motivic Cohomology of Fields | ||
| Motives and Abelian Varieties | ||
| Grothendieck's Standard Conjectures |
3264 and All That by Eisenbud, Harris
Intersection Theory by Fulton
The Algebraic and Geometric Theory of Bilinear Forms by Elman, Karpenko, Merkurjev
Milnor K-Theory is the Simplest Part of Algebraic K-Theory by Totaro
The Norm Residue Theorem in Motivic Cohomology by Haesemeyer, Weibel
Classical Motives by Scholl
Lecture Notes on Motivic Cohomology by Mazza, Voevodsky, Weibel
The Integral Chow Ring of \overline{M}_2 by Larson
Chow Groups, Chow Cohomology, and Linear Varieties by Totaro