Universität Regensburg   IMPRESSUM   DATENSCHUTZ
Fakultät für Mathematik Universität Regensburg

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Algebraic K-theory
Semester
SoSe 2020

Lecturer
Marc Hoyois

Type of course (Veranstaltungsart)
Vorlesung

Contents

Algebraic K-theory was invented by Grothendieck in the 1950s in his proof of the Grothendieck-Riemann-Roch theorem.

Nowadays algebraic K-theory plays an important role in various fields of mathematics, notably algebraic number theory, algebraic geometry, homotopy theory, and geometric topology. In particular it appears in the formulation of many deep conjectures.

In this course, we will introduce algebraic K-theory in its various forms (K-theory of rings, of schemes, of exact categories, of Waldhausen categories) and prove some of the fundamental theorems of Quillen, Suslin, Waldhausen, etc.



Recommended previous knowledge
Familiarity with category theory, basics of commutative algebra (rings and modules) and homotopy theory (homology groups and homotopy groups)

Time/Date
Mi 08-10, Fr 08-10

Location
Mi M104, Fr M103

Course homepage
http://www.mathematik.ur.de/hoyois/SS20/ktheory.html
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

Registration
  • 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
There will be a weekly exercise session, Fr 10-12, M102

Modules
BV, MV, MArGeo, MGAGeo

ECTS
9