WorldCat Identities

Rouquier, Raphaël

Works: 14 works in 34 publications in 3 languages and 313 library holdings
Genres: Conference papers and proceedings 
Roles: Editor, Thesis advisor, Author
Publication Timeline
Most widely held works about Raphaël Rouquier
Most widely held works by Raphaël Rouquier
Triangulated categories( Book )

16 editions published in 2010 in English and Undetermined and held by 276 WorldCat member libraries worldwide

"This volume grew out of a Workshop on Triangulated Categories held at the University of Leeds in August 2006. The meeting, a Satellite of the International Congress of Mathematicians 2006, has been generously supported by the Leverhulme Foundation (via the network Algebras, Representations and Applications), the London Mathematical Society (Conference Grant Ref. 1438) and the University of Leeds. Over the past decades, triangulated categories have made their way into many different parts of mathematics, to the extent that today, they can be viewed as a unifying theory underlying major parts of modern mathematics. The Leeds workshop has brought together researchers from many parts of mathematics who all use triangulated methods but would not usually meet at more specialized conferences, with the aim to promote cross fertilization leading to new applications of triangulated categories. The present book collects surveys by leading experts reflecting a broad range of important topics covered at the workshop. However, it is not a proceedings volume recording precisely the talks given at the conference and it does not claim to be a comprehensive coverage of all the numerous applications of triangulated categories throughout mathematics"--Résumé de l'éditeur
On complex reflection groups and their associated braid groups by Michel Broué( Book )

3 editions published in 1994 in English and German and held by 6 WorldCat member libraries worldwide

Familles de caractères de groupes de réflexions complexes by Gunter Malle( Book )

1 edition published in 2003 in French and held by 5 WorldCat member libraries worldwide

Catégories dérivées et variétés de Deligne-Lusztig( Book )

2 editions published in 2003 in Undetermined and French and held by 4 WorldCat member libraries worldwide


2 editions published in 1992 in French and held by 3 WorldCat member libraries worldwide

Autour de la catégorie des bimodules de Soergel by Nicolas Libedinsky( Book )

1 edition published in 2008 in French and held by 2 WorldCat member libraries worldwide

My thesis is about Soergel category of bimodules. This tensorial category, associated to any Coxeter group can be seen as a categorification of the corresponding Hecke algebra. This category represents the main way of combinatorial and algebraic attack of the problems of formulae of characters in positive characteristic. It is also linked to the questions of positivity of Kazhdan-Lusztig polynomials (via "Soergel conjecture") and to some homological invariants of knots. In my thesis, I study Soergel category of bimodules from a combinatorial point of view. My first result is the construction of explicit bases for the morphisms spaces in Soergel category. This is a first step towards the description by generators and relations of Soergel categories. In a second work I obtain this description by generators and relations for right-angled Coxeter groups. In a third work I prove that we obtain the same indecomposable bimodules working with the geometrie representation of a Coxeter group or working with the reflection representations considered by Soergel. Finally in my last work I construct explicitly a set of idempotents in Soergel category for "large" Coxeter Systems (every product of simple reflections are at least of order four). Thus we obtain a new natural basis of the Hecke algebra -between the Kazhdan-Lusztig basis and the "Bott-Samelson-Demazure" basis- that actually corresponds to Soergel bimodules
Correspondance de springer modulaire et matrices de décomposition by Daniel Juteau( Book )

1 edition published in 2007 in English and held by 2 WorldCat member libraries worldwide

In 1976, Springer defined a correspondence making a link between the irreducible ordinary representations (in characteristic zero) of a Weyl group and the geometry of the associated nilpotent variety. In this thesis, we define a modular Springer correspondence (in positive characteristic), and we show that the decomposition numbers of a Weyl group (for example the symmetric group) are particular cases of decomposition numbers for equivalant perverse sheaves on the nilpotent variety. We determine this correspondence m the case of the symmetric group, and show that James's row and column removal rule is a consequence of a smooth equivalence of nilpotent singularises obtained by Kraft and Procesi. We also calculate explicitly the decomposition numbers associated to the regular and subregular classes, and to the minimal and trivial classes
Correspondance de McKay et équivalences dérivées by Magda Sebestean( Book )

1 edition published in 2005 in English and held by 2 WorldCat member libraries worldwide

Derived equivalences and finite dimensional algebras by Raphaël Rouquier( )

1 edition published in 2006 in English and held by 1 WorldCat member library worldwide

Le monstre gentil des mathematiciens by Raphaël Rouquier( )

1 edition published in 2001 in French and held by 1 WorldCat member library worldwide

Derived equivalences for group rings by Steffen König( Book )

1 edition published in 1998 in English and held by 1 WorldCat member library worldwide

A self-contained introduction is given to J. Rickard's Morita theory for derived module categories and its recent applications in representation theory of finite groups. In particular, Broué's conjecture is discussed, giving a structural explanation for relations between the p-modular character table of a finite group and that of its "p-local structure". The book is addressed to researchers or graduate students and can serve as material for a seminar. It surveys the current state of the field, and it also provides a "user's guide" to derived equivalences and tilting complexes. Results and proofs are presented in the generality needed for group theoretic applications
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Audience level: 0.71 (from 0.69 for Triangulat ... to 0.99 for Le monstre ...)

Triangulated categories
Derived equivalences for group rings
Alternative Names
Raphaël Rouquier Frans wiskundige

Raphaël Rouquier fransk matematikar

Raphaël Rouquier fransk matematiker

Raphaël Rouquier französischer Mathematiker

Raphaël Rouquier French mathematician

Raphaël Rouquier matemático francés

Raphaël Rouquier mathématicien français

English (25)

French (6)

German (1)