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Documents  Labourie, François | enregistrements trouvés : 4

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Research talks;Geometry

The world of groups is vast and meant for wandering! During this week, I will give seven short talks describing seven groups, or class of groups, that I find fascinating. These seven talks will be independent and I will have no intention of being exhaustive (this would be silly since there are uncountably many groups, even finitely generated!). In each talk, I will introduce the hero, state one or two results, and formulate one or two conjectures. The world of groups is vast and meant for wandering! During this week, I will give seven short talks describing seven groups, or class of groups, that I find fascinating. These seven talks will be independent and I will have no intention of being exhaustive (this would be silly since there are uncountably many groups, even finitely generated!). In each talk, I will introduce the hero, state one or two results, and formulate one or two c...

57S30 ; 58D05

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- vii; 138 p.
ISBN 978-3-03719-127-9

Zürich lectures in advanced mathematics

Localisation : Ouvrage RdC (LABO)

groupe de Lie # géométrie différentielle # groupe topologique # groupe de surface # géométrie symplectique # variété de caractère

53D30 ; 53C10 ; 58D27 ; 32G15 ; 58J28 ; 53-02 ; 53C07

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- vi; 361 p.
ISBN 978-3-319-49636-8

Progress in mathematics , 0310

Localisation : Collection 1er étage

géométrie algébrique # analyse globale # théorie des nombres # probabilités

58-06 ; 14-06 ; 11-06 ; 60-06 ; 00B30 ; 00B15

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Research talks;Geometry;Topology

Hilbert's Fifth Problem asks whether every topological group which is a manifold is in fact a (smooth!) Lie group; this was solved in the affirmative by Gleason and Montgomery-Zippin. A stronger conjecture is that a locally compact topological group which acts faithfully on a manifold must be a Lie group. This is the Hilbert--Smith Conjecture, which in full generality is still wide open. It is known, however (as a corollary to the work of Gleason and Montgomery-Zippin) that it suffices to rule out the case of the additive group of p-adic integers acting faithfully on a manifold. I will present a solution in dimension three. Hilbert's Fifth Problem asks whether every topological group which is a manifold is in fact a (smooth!) Lie group; this was solved in the affirmative by Gleason and Montgomery-Zippin. A stronger conjecture is that a locally compact topological group which acts faithfully on a manifold must be a Lie group. This is the Hilbert--Smith Conjecture, which in full generality is still wide open. It is known, however (as a corollary to the work of ...

57N10

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