Seminar information archive
Seminar information archive ~05/15|Today's seminar 05/16 | Future seminars 05/17~
2020/02/05
Lie Groups and Representation Theory
Simon Gindikin (Rutgers University)
Direct inversion of the horospherical transform on Riemannian symmetric spaces (English)
It was a problem of Gelfand to find an inversion of the horospherical transform directly and as a result to find directly the Plancherel formula.
I will give such an inversion and it gives a formula different from Harish-Chandra's one.
2020/01/31
thesis presentations
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2020/01/30
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2020/01/29
Operator Algebra Seminars
Colin McSwiggen (Brown Univ.)
Horn's problem, polytope volumes and tensor product decompositions (English)
Operator Algebra Seminars
Cyril Houdayer (Univ. Paris-Sud)
Stationary actions of higher rank lattices on von Neumann algebras (English)
2020/01/28
Tuesday Seminar on Topology
Nozomu Sekino (The University of Tokyo)
Existence problems for fibered links (JAPANESE)
It is known that every connected orientable closed 3-manifold has a fibered knot. However, finding (and classifying) fibered links whose fiber surfaces are fixed homeomorphism type in a given 3-manifold is difficult in general. We give a criterion of a simple closed curve on a genus 2g Heegaard surface being a genus g fibered knot in terms of its Heegaard diagram. As an application, we can prove the non-existence of genus one fibered knots in some Seifert manifolds.
There is one generalization of fibered links, homologically fibered links. This requests that the complement of the "fiber surface" is a homologically product of a surface and an interval. We give a necessary and sufficient condition for a connected sums of lens spaces of having a homologically fibered link whose fiber surfaces are some fixed types as some algebraic equations.
Tuesday Seminar on Topology
Jun Watanabe (The University of Tokyo)
Fibred cusp b-pseudodifferential operators and its applications (JAPANESE)
Melrose's b-calculus and its variants are important tools to study index problems on manifolds with singularities. In this talk, we introduce a new variant "fibred cusp b-calculus", which is a generalization of fibred cusp calculus of Mazzeo-Melrose and b-calculus of Melrose. We discuss the basic property of this calculus and give a relative index formula. As its application, we prove the index theorem for a Z/k manifold with boundary, which is a generalization of the mod k index theorem of Freed-Melrose.
Lie Groups and Representation Theory
Taito Tauchi (The University of Tokyo) 10:00-11:00
Relationship between orbit decomposition on the flag varieties and multiplicities of induced representations (English)
Mikhail Kapranov (Kavli IPMU) 11:20-12:20
TBA (English)
Michael Pevzner (University of Reims) 14:00-15:00
From Symmetry breaking toward holographic transform in representation theory (English)
Leticia Barchini (Oklahoma University) 15:40-16:40
Cells of Harish-Chandra modules
(English)
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