Universität Regensburg   IMPRESSUM   DATENSCHUTZ
Fakultät für Mathematik Universität Regensburg
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Introduction to derived algebraic geometry
Semester
SoSe 2025

Lecturer
Jeroen Hekking

Type of course (Veranstaltungsart)
Vorlesung

German title
Einführung in die Abgeleitete algebraische Geometrie

Contents
We introduce the basic concepts in derived algebraic geometry—such as animated rings, derived
schemes, derived algebraic stacks, and quasi-coherent modules—and discuss their basic
properties. This course aims to discuss an algebraicity result of Weil restrictions.

Literature
The algebraicity result on Weil restrictions is based on joint work with Adeel Khan and David Rydh.
I will write lecture notes. Background literature includes "Spectral Algebraic
Geometry" (Lurie), and "A study in derived algebraic geometry" (Gaitsgory &
Rozenblyum), and "Homotopical algebraic geometry" (Toën & Vezzosi).

Recommended previous knowledge
Basics of algebraic geometry and some infinity-category theory.

Time/Date
Fri 10-12

Location
M101

Course homepage
https://www.jeroenhekking.nl/teaching/introduction-to-derived-algebraic-geometry
(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)
  • Oral exam: Duration: 30 minutes, Date: individual appointments, re-exam: Date: tbd
Modules
MV, MGAGeo

ECTS
3