401-3226-00L  Symmetric Spaces

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

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