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Fakultät für Mathematik Universität Regensburg

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Hermitian K-theory of rings
Semester
SoSe 2021

Lecturer
Marc Hoyois, Denis Nardin

Type of course (Veranstaltungsart)
Oberseminar

Contents
The goal of this seminar is to study some recent developments on the Hermitian K-theory of rings of
integers following Calmès, Dotto, Harpaz, Hebestreit, Land, Moi, Nardin, Nikolaus, and
Steimle. A particular focus will be on the complete solution of Thomason's homotopy limit problem
for number rings, which states that the Grothendieck–Witt spectrum of a number ring is
2-adically equivalent to the homotopy C_2-fixed points of its K-theory spectrum. In particular we
will review the solution of this problem for fields using motivic homotopy techniques, following
Bachmann and Hopkins.

Time/Date
Tuesday 14-16

Location
online

Course homepage
http://www.mathematik.ur.de/hoyois/SS21/hermitian/index.html
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

Registration
  • 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
Modules
MV

ECTS
4,5
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