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Symplectic rigidity and quantum mechanics

Berlin, July 18–22, 2016
descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Book , Article , Preprint , Other literature type , Conference object 06 Aug 2018Embargo end date: 01 Jan 2016 Italy English Publisher:European Mathematical Society - EMS - Publishing House GmbHFunded by:NSF | FRG: Collaborative Resear..., EC | SYMPTOPODYNQUANT, EC | REGULARITY +1 projects
Authors: Guichard, Olivier; Wienhard, Anna;

doi: 10.4171/176-1/6 , 10.4171/176-1/13 , 10.4171/176 , 10.4171/176-1/31 , 10.4171/176-1/33 , 10.4171/176-1/15 , 10.4171/176-1/14 , 10.4171/176-1/4 , 10.4171/176-1/8 , 10.4171/176-1/32 , 10.48550/arxiv.1610.06246 , 10.48550/arxiv.1611.05240 , 10.48550/arxiv.1802.02833

arXiv: http://arxiv.org/abs/1610.06246 , http://arxiv.org/abs/1802.02833 , http://arxiv.org/abs/1611.05240

handle: 21.11116/0000-0004-0834-9 , 21.11116/0000-0004-0836-7 , 21.11116/0000-0004-0837-6 , 11565/4032547

Symplectic rigidity and quantum mechanics

Abstract

Ideas from Hodge theory have found important applications in representation theory. We give a survey of joint work with Ben Elias which uncovers Hodge theoretic structure in the Hecke category ("Soergel bimodules"). We also outline similarities and differences to other combinatorial Hodge theories.

20 pages, ECM 2016 lecture

Country
Italy
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Keywords

Mathematics - Differential Geometry, FOS: Physical sciences, Group Theory (math.GR), Mathematics - Geometric Topology, Mathematics - Algebraic Geometry, RICCI CURVATURE, METRIC-MEASURE SPACES, OPTIMAL TRANSPORT, FOS: Mathematics, Mathematics - Combinatorics, Representation Theory (math.RT), Algebraic Geometry (math.AG), Mathematical Physics, Probability (math.PR), Geometric Topology (math.GT), Mathematical Physics (math-ph), Differential Geometry (math.DG), 11-XX, 14-XX, Combinatorics (math.CO), [MATH.MATH-DG] Mathematics [math]/Differential Geometry [math.DG], Mathematics - Group Theory, Mathematics - Probability, Mathematics - Representation Theory

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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
51
Top 10%
Top 10%
Top 10%
Green
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