Descent in algebraic K-theory

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Descent in algebraic K-theory

Semester
SoSe 2020

Lecturer
Adeel Khan

Type of course (Veranstaltungsart)
Vorlesung

Contents

In this lecture series, we will give a modern account of the landmark paper [TT] on the higher algebraic K-theory of schemes. Topics to be covered include:

∞-Categories: the basic theory, prestable ∞-categories, and animation
Animated quasi-coherent sheaves on schemes
Perfect complexes
Waldhausen K-theory of prestable ∞-categories
Localization sequence and Zariski descent for algebraic K-theory

Literature

[TT] R. W. Thomason, T. Trobaugh, Higher algebraic K-theory of schemes and of derived categories, in: The Grothendieck Festschrift, Vol. III, 247--435, Progr. Math. 88, Birkhäuser (1990).

Recommended previous knowledge
Familiarity with algebraic geometry (scheme theory). The language of ∞-categories will be used, but we will give a quick review of the basics.

Time/Date
27.7 - 31.7, see schedule on web page

Location
online

Course homepage
https://www.preschema.com/teaching/2020-ss/kdescent/
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

Registration

Registration for course work/examination/ECTS: FlexNow

Examination (Prüfungsleistungen)

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

Regelungen bei Studienbeginn vor WS 2015 / 16

Benotet:
- O. g. Studienleistung und o. g. Prüfungsleistung; die Note ergibt sich aus der Prüfungsleistung
Unbenotet:
- O. g. Studienleistung

Modules
BV, MV, MArGeo, MGAGeo

ECTS
4,5