401-3226-00L  Symmetric Spaces

SemesterSpring Semester 2021
LecturersA. Iozzi
Periodicityyearly recurring course
Language of instructionEnglish


401-3226-00 GSymmetric Spaces4 hrs
Wed08:15-10:00HG F 26.5 »
Thu08:15-10:00HG F 26.5 »
A. Iozzi

Catalogue data

Abstract* Generalities on symmetric spaces: locally and globally symmetric spaces, groups of isometries, examples
* Symmetric spaces of non-compact type: flats and rank, roots and root spaces
* Iwasawa decomposition, Weyl group, Cartan decomposition
* Hints of the geometry at infinity of SL(n,R)/SO(n).
ObjectiveLearn the basics of symmetric spaces

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits8 credits
ExaminersA. Iozzi
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationoral 30 minutes
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

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401-3226-00 GSymmetric Spaces
Wed08:15-10:00HG F 26.5 »
Thu08:15-10:00HG F 26.5 »


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Offered in

Doctoral Department of MathematicsGraduate SchoolWInformation
Mathematics MasterCore Courses: Pure MathematicsWInformation