VVZ API is not affiliated with ETH Zurich. Data might be outdated or incorrect. Please view the official ETHZ Vorlesungsverzeichnis for binding information.

401-8143-DRL 3 Credits DR D-MATH

A¹-Algebraic Topology over a Field (University of Zurich)

No enrolment to this course at ETH Zurich. Book the corresponding module directly at UZH. UZH Module Code: MAT712DP Mind the enrolment deadlines at UZH:

VVZ CR n/a

Last Updated: 2026-02-05 16:02:04

Abstract

The aim of this course is to give an introduction to A^1-homotopy theory following Morel and Voevodsky. In particular, we will develop enough machinery to understand Morel’s computation of the homotopy groups of spheres in the so-called Milnor range. If time permits, we will also discuss some applications to vector bundles on smooth affine varieties.

Objective

The aim of this course is to give an introduction to A^1-homotopy theory following Morel and Voevodsky.

General Information

Language: English
Levels: DR

Examination

Type: graded semester performance

Registration modalities, date and venue of this performance assessment are specified solely by the UZH.

Course Components

Type	Title	Time & Place	Hours
lecture	A¹-Algebraic Topology over a Field (University of Zurich)	No time listed	4 h weekly

Offered In

Doctorate Mathematics (More Information at: )
- Subject Specialisation (The list of courses (together with the allocated credit points) eligible for doctoral students is published each semester in the newsletter of the ZGSM.)
  - Graduate School (Official website of the Zurich Graduate School in Mathematics:)