http://archive.numdam.org/article/PMIHES_1990__71__121_0.pdf Witryna13 kwi 2024 · Title : Locally symmetric complexes. Abstract: Locally symmetric complexes are analogous to locally symmetric spaces, just like affine buildings are analogous to symmetric spaces. In this expository talk, we will explain the analogies, following up the earlier talk on buildings, with some applications. Time : 13:30 p.m., …
Mostow rigidity theorem - Wikipedia
Witryna1 maj 2024 · Published 1 May 2024. Mathematics. Proceedings of the International Congress of Mathematicians (ICM 2024) We discuss several results pertaining to the Hodge and cycle theories of locally symmetric spaces. The unity behind these results is motivated by a vague but fruitful analogy between locally symmetric spaces and … Symmetric and locally symmetric spaces in general can be regarded as affine symmetric spaces. If M = G/H is a symmetric space, then Nomizu showed that there is a G-invariant torsion-free affine connection (i.e. an affine connection whose torsion tensor vanishes) on M whose curvature is parallel. Zobacz więcej In mathematics, a symmetric space is a Riemannian manifold (or more generally, a pseudo-Riemannian manifold) whose group of symmetries contains an inversion symmetry about every point. This can be studied with … Zobacz więcej Let M be a connected Riemannian manifold and p a point of M. A diffeomorphism f of a neighborhood of p is said to be a … Zobacz więcej If M is a Riemannian symmetric space, the identity component G of the isometry group of M is a Lie group acting transitively on M (that is, … Zobacz więcej An important class of symmetric spaces generalizing the Riemannian symmetric spaces are pseudo-Riemannian symmetric spaces, in which the Riemannian metric is replaced by a pseudo-Riemannian metric (nondegenerate instead of positive definite on each … Zobacz więcej Let G be a connected Lie group. Then a symmetric space for G is a homogeneous space G/H where the stabilizer H of a typical point is … Zobacz więcej The algebraic description of Riemannian symmetric spaces enabled Élie Cartan to obtain a complete classification of them in 1926. For a given … Zobacz więcej In the 1950s Atle Selberg extended Cartan's definition of symmetric space to that of weakly symmetric Riemannian space, or in current terminology weakly symmetric … Zobacz więcej infect villager
On Quantum unique ergodicity for locally symmetric spaces I
Witryna18 paź 2024 · This book consists of five expository papers on moduli spaces and locally symmetric spaces based on lecture notes given by the authors at two instructional … http://www.cms.zju.edu.cn/UploadFiles/AttachFiles/200471118586485.pdf WitrynaIn 2024–18, I led a special program about analysis and topology on locally symmetric spaces as a Distinguished Visiting Professor in the School of Mathematics. Locally … infected armpit rash