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Fakultät für Mathematik Universität Regensburg

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Hermitian K-theory for stable infinity-categories
Semester
WiSe 2020 / 21

Lecturer
Marc Hoyois, Denis Nardin

Type of course (Veranstaltungsart)
Oberseminar

Contents
The goal of this seminar is to study the foundations of Hermitian K-theory recently developed by
Calmès, Dotto, Harpaz, Hebestreit, Land, Moi, Nardin, Nikolaus, and Steimle. They associate a
genuine C_2-spectrum to any stable infinity-category with a nondegenerate quadratic functor, whose
underlying spectrum is K-theory and whose geometric fixed points is L-theory. Their construction has
good formal properties whether or not 2 is invertible and leads to the computation of the Hermitian
K-theory of the integers.

Time/Date
Di 14-16

Location
online

Course homepage
http://www.mathematik.ur.de/hoyois/WS21/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
Modules
MV

ECTS
4,5
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