K-theory of finite fields Semester SoSe 2019
Lecturer Denis-Charles Cisinski
Type of course (Veranstaltungsart) Seminar
Contents We will study Quillen's computation of the algebraic K-theory of finite fields. This is a beautiful instance of application of homotopy theory to arithmetic.
No prior knowledge of algebraic K-theory is required, although some background in algebraic topology, in particular regarding simplicial methods, will be helpful.
Literature S. Mitchell: "Notes on the K-theory of Finite Fields
(available at: https://sites.math.northwestern.edu/~jnkf/Mitchell-finitefieldsKtheory.pdf
P.G. Goers and J.F. Jardine: "Siplicial Homotopy Theory", Birkhäuser, 1999
Recommended previous knowledge Basic siplicial homotopy theory.
Time/Date Mi, 10 - 12 Uhr
Location M 101
Registration- Organisational meeting/distribution of topics: the first day of the seminar, namely Mi
24.04.2019, or per email at adeel.khan@ur.de - Registration for course work/examination/ECTS: FlexNow
Course work (Studienleistungen)- Presentation: Giving a seminar talk of roughly 90 minutes
Examination (Prüfungsleistungen)- Detailed written report of the seminar talk
Regelungen bei Studienbeginn vor WS 2015 / 16- Benotet:
- O. g. Studienleistung und o. g. Prüfungsleistung; die Note ergibt sich aus dem Seminarvortrag
- Unbenotet:
Modules BSem, MV, MSem, LA-GySem
ECTS Siehe Modulkatalog. MV und Nebenfach: 4,5 LP bei Studienbeginn ab WS 15/16, 6 LP bei Studienbeginn vor WS 15/16
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