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Fakultät für Mathematik Universität Regensburg
The Grothendieck-Riemann-Roch theorem
Semester
SoSe 2018

Lecturer
Adeel Khan

Type of course (Veranstaltungsart)
Vorlesung

Contents
This lecture course will be centred around the celebrated Grothendieck-Riemann-Roch theorem, proven by A. Grothendieck in 1957. Along the way, we will explain how it can be naturally generalized to the setting of derived algebraic geometry. Finally, we will also discuss how the derived Grothendieck-Riemann-Roch formula gives rise to formulas for the virtual fundamental class originally predicted by M. Kontsevich.

Literature
P. Berthelot, A. Grothendieck, L. Illusie, Théorie des intersections et théorème de Riemann-Roch (SGA 6).
W. Fulton, Intersection theory.
J. Lurie, Spectral algebraic geometry.

Recommended previous knowledge
Algebraic geometry.

Time/Date
Thursday 16-18

Location
M311

Course homepage
https://www.preschema.com/teaching/grr-ss18/
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

Registration
  • Registration for course work/examination/ECTS: FlexNow
Examination (Prüfungsleistungen)
  • Oral exam: Duration: 30 minutes, Date: individual appointment, re-exam: Date: individual
    appointment
Additional comments
Exercise course: Friday 10-12, H 32

Modules
MV, MArGeo

ECTS
3