Universität Regensburg   IMPRESSUM   DATENSCHUTZ
Fakultät für Mathematik Universität Regensburg
Seminar on linear algebraic groups
Semester
WiSe 2017 / 18

Lecturer
Uwe Jannsen, Yigeng Zhao, Morten Lüders

Type of course (Veranstaltungsart)
Seminar

Contents

In this seminar, we will learn the basic theory of algebraic groups over any algebraic closed fields. More precisely, we shall concentrate on linear algebraic groups, which is a closed subvariety of the general linear group GL(n).

Linear algebraic groups play an important role in many areas of mathematics especially in geometry and representation theory. We shall deal with the following notations:

  • the Lie algebra of an algebraic group;
  • quotient of an algebraic group by a closed subgroup;
  • tori, solvable groups and Borel subgroups;
  • structure of reductive groups;
  • classifi cation of semisimple algebraic groups;
  • representations of semisimple algebraic groups.

References:

  • J.E. Humphreys: Linear algebraic groups,Modern Birkhauser Classics
  • A. Borel: Linear algebraic groups, GTM 126
  • T.A. Springer: Linear algebraic groups, GTM 21


Recommended previous knowledge
Algebraic geometry I

Time/Date
Mi 8:30 - 10:00

Location
M 009

Course homepage
http://homepages.uni-regensburg.de/~zhy26826/
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

Registration
  • Organisational meeting/distribution of topics: On 27.07.2017 at 16:00 in M223 or by email:
    yigeng.zhao@ur.de
  • 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
BSem, MV, MSem

ECTS
Siehe Modulkatalog. MV und Nebenfach: 4,5 LP bei Studienbeginn ab WS 15/16, 6 LP bei Studienbeginn
vor WS 15/16