Motivic spectra

Motivic spectra

Semester
SoSe 2024

Lecturer
Marc Hoyois

Type of course (Veranstaltungsart)
Oberseminar

German title
Motivische Spektren

Contents
In this seminar, we will present the recent theory of motivic spectra without A^1-invariance. We
will prove the universal property of the algebraic K-theory of derived schemes due to Annala and
Iwasa; develop the theory of oriented motivic spectra and construct algebraic cobordism as the
universal oriented theory; explain the formalism of motivic filtrations giving rise to prismatic,
syntomic, and motivic cohomology; prove Poincaré duality and explore applications of the
latter, such as the Landweber exact functor theorem and the construction of the category of
(non-A^1-invariant) motives with rational coefficients over any derived scheme.

Time/Date
Tue 14-16

Location
M311

Course homepage
https://hoyois.app.uni-regensburg.de/SS24/motspec/index.html
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

Registration

Registration for course work/examination/ECTS: FlexNow

Course work (Studienleistungen)

Passing the examination below

Examination (Prüfungsleistungen)

Detailed written report of the seminar talk

Modules
MV, MSem

ECTS
4,5

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