401-3226-DRL  Symmetric Spaces

SemesterSpring Semester 2022
LecturersA. Iozzi
Periodicityyearly recurring course
Language of instructionEnglish
CommentOnly for ETH D-MATH doctoral students and for doctoral students from the Institute of Mathematics at UZH. The latter need to send an email to Jessica Bolsinger (info@zgsm.ch) with the course number. The email should have the subject „Graduate course registration (ETH)“.


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
* Geometry at infinity
Learning objectiveLearn the basics of symmetric spaces