Algebraic K-theory and intersection theory

Algebraic K-theory and intersection theory

Semester
WiSe 2019 / 20

Lecturer
Adeel Khan

Type of course (Veranstaltungsart)
Vorlesung

Contents
Intersection theory, a topic at the heart of algebraic geometry, is concerned with the question of
describing the intersection of two subvarieties in an ambient smooth algebraic variety. The modern
flavour of the subject is highly influenced by Alexander Grothendieck's revolutionary introduction
of algebraic K-theory. In this course, we will introduce algebraic K-theory K_0, as well as the
closely related theory of Chow rings, of smooth algebraic varieties. We will mostly be occupied
with understanding the basic properties of these theories and the precise relationship between the
two.

Recommended previous knowledge
A good grasp of commutative algebra is necessary. The basics of scheme theory will also be assumed,
at the level of Algebraic Geometry I, so at least attending that course concurrently is highly
recommended.

Time/Date
Wednesdays 10-12

Location
M 009

Course homepage
https://www.preschema.com/teaching/ktheory-ws19/
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

Registration

Registration for the exercise classes: During the first week of lectures. More information
will be given in the first lecture.
Registration for course work/examination/ECTS: FlexNow

Course work (Studienleistungen)

Successful participation in the exercise classes: 50% of points in the exercises

Examination (Prüfungsleistungen)

Oral exam: Duration: 30 minutes, Date: by appointment, re-exam: Date: by appointment

Additional comments
Exercise session on Fridays 10-12, M 009.

Modules
BV, MV, MArGeo

ECTS
4,5