*Course on
Intersection Theory (Winter Semester 2013/14)*

The lecture will be
take place once a week at Humboldt UniversitÃ¤t (Rudower
Chaussee 25).

Monday 11:15 - 12:45

room: 2.009

Begin: 14.10.2013

An exercise session will be organized by Emre SertÃ¶z.

The plan is to cover the following topics:

1) Chow groups

2) Intersection products and moving lemma

3) Vector bundles and Chern classes

4) Degeneracy loci, Grassmannians and Porteous' Formula

5) Excess intersections and blowups

6) The Grothendieck-Riemann-Roch Theorem

The theory is very rich in concrete examples and I will present

many of them along the way. I will manly follow the new book

of Eisenbud and Harris "3264 & all that" but Fulton's book

"Intersection theory" will be used as well.

The main prerequisite is a basic course on algebraic geometry

(at the level of "Undergraduate Algebraic Geometry" by Miles
Reid. ),

also being familiar with coherent sheaves and their cohomology
an

the language of schemes.

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