ADVOCATE NEWS We are here to launch an innovative project with the potential to impact the oral health of populations not only across Europe but globally Sir Alan Langlands, Vice Chancellor, University of Leeds www.advoc

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• Health
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Environmental Modelling in Industry Study Group 3rd-6th April 2017 Following the success of last year’s event, the second Maths Foresees study group will hosted by the Turing Gateway to Mathematics at the Isaac Newton

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PREPROJECTIVE ALGEBRAS, DIFFERENTIAL OPERATORS AND A CONZE EMBEDDING FOR DEFORMATIONS OF KLEINIAN SINGULARITIES WILLIAM CRAWLEY-BOEVEY Abstract. For any associative algebra A over a eld K we dene a family of

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• Algebra
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• Ring theory
• Morphisms
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• Algebra homomorphism
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Updated February CONTENTS Page

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• Sustainability
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Everybody Active Everyday: “Moving at Scale” Physical Activity Evaluation and Scale-up Fora 2016 Leeds, Wednesday 9th March 2016 Everybody Active Everyday: “Moving at Scale”

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On real root representations of quivers Marcel Wiedemann Submitted in accordance with the requirements for the degree of Doctor of Philosophy The University of Leeds

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• Algebra
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• Lie groups
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• KacMoody algebra
• E8
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Advanced Review Industrial energy use and carbon emissions reduction: a UK perspective Paul W. Griffin,1 Geoffrey P. Hammond2 and Jonathan B. Norman1*

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• Energy
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Old Spanish National Historic Trail Mesquite, Nevada Public Scoping Meeting April 4, 2006 Leeds

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• Western United States
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• Historic trails and roads in the United States
• Old Spanish Trail
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ABSOLUTELY INDECOMPOSABLE REPRESENTATIONS AND KAC-MOODY LIE ALGEBRAS (WITH AN APPENDIX BY HIRAKU NAKAJIMA) WILLIAM CRAWLEY-BOEVEY AND MICHEL VAN DEN BERGH Dedicated to Idun Reiten on the occasion of her sixtieth birthday

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• Constructible universe
• Representation theory
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• Semi-invariant of a quiver
• Differential forms on a Riemann surface

Geometry of the moment map for representations of quivers William Crawley-Boevey Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, UK ()

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• Algebra
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