Localisation and devissage in algebraic K-theory

Localisation and devissage in algebraic K-theory

Semester
WiSe 2023 / 24

Lecturer
Christoph Winges

Type of course (Veranstaltungsart)
Vorlesung

German title
Lokalisierungen und Devissage in algebraischer K-Theorie

Contents
We will discuss a number of foundational results in algebraic K-theory arising from the additivity
theorem. This will include localisation sequences as well as devissage-type statements like the
resolution theorem, the theorem of the heart and the Gillet-Waldhausen theorem. On the way, we will
develop the basics of exact and (pre)stable infinity-categories, localisations of
infinity-categories, weight structures and t-structures.

Recommended previous knowledge
The course will assume some familiarity with infinity-categories and the infinity-category of
spectra. The main examples will arise in the form of categories of parametrised spectra and derived
categories, even though we will also give a self-contained definition of derived categories.

Time/Date
tba

Location
tba

Course homepage
https://homepages.uni-regensburg.de/~wic42659/ws23_devissage.html
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

Registration

Registration for course work/examination/ECTS: FlexNow

Course work (Studienleistungen)

Oral examination (without grade): Duration: 30 min, Date: by appointment

Examination (Prüfungsleistungen)

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

Modules
MV, MArGeo, MGAGeo

ECTS
3