Chevalley groups, reflections groups, braid groups
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چکیده
Program Monday 08h30-09h30 G. Lusztig: On the cleanness of cuspidal character sheaves. 09h45-10h45 P. Achar: Derived Satake equivalence and geometric restriction to a Levi subgroup. 11h15-12h15 G. Williamson: Generators and relations for Soergel bimodules. Tuesday 08h30-09h30 O. Brunat: On semisimple classes in finite reductive groups. 09h45-10h45 R. Charney: Groups Associated to Random Graphs. 11h15-12h15 M. Chlouveraki: Canonical basic sets and cell modules for Hecke algebras. 17h00-18h00 L. Paris: Basic questions on Artin-Tits groups. 18h15-19h15 M. Geck: On the Kazhdan–Lusztig ordering of characters and cells. Wednesday 08h30-09h30 D. Juteau: Latest news about parity sheaves. 09h45-10h45 B. Leclerc: Quantum affine algebras and cluster algebras. 11h15-12h15 G. Lehrer: The second fundamental theorem of invariant theory. G L and quasi-isolated blocks. 09h45-10h45 I. Marin: Galois automorphisms of complex reflection groups. 11h15-12h15 P. Dehornoy: A conjecture about Artin-Tits groups. 17h00-18h00 M. Picantin: Garside structures for braid groups of complex reflection groups. 18h15-19h15 R. Rouquier: Generic representations and perverse equivalences. Friday 08h30-09h30 T. Shoji: Character sheaves associated to the enhanced nilpotent cone. 09h45-10h45 D. Bessis: Chasing the Rabbit. 11h15-12h15 P. Cartier: Des groupes de tresses au groupe de Grothendieck-Teichmüller. Mise au point sur les résultats récents.
منابع مشابه
Total Positivity for Loop Groups Ii: Chevalley Generators
This is the second in a series of papers developing a theory of total positivity for loop groups. In this paper, we study infinite products of Chevalley generators. We show that the combinatorics of infinite reduced words underlies the theory, and develop the formalism of infinite sequences of braid moves, called a braid limit. We relate this to a partial order, called the limit weak order, on ...
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Let B be the generalized braid group associated to some finite complex reflection group W . We define a representation of B of dimension the number of reflections of the corresponding reflection group, which generalizes the Krammer representation of the classical braid groups, and is thus a good candidate in view of proving the linearity of these groups. We decompose this representation in irre...
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We describe a class of groups with the property that the finite ones among them are precisely the complex reflection groups of rank two. This situation is reminiscent of Coxeter groups, among which the finite ones are precisely the real reflection groups. We also study braid relations between complex reflections and indicate connections to an axiomatic study of root systems and to the Shephard-...
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We introduce the notion of a braid group parametrized by a ring, which is defined by generators and relations and based on the geometric idea of painted braids. We show that the parametrized braid group is isomorphic to the semi-direct product of the Steinberg group (of the ring) with the classical braid group. The technical heart of the proof is the Pure Braid Lemma 2.1.1, which asserts that c...
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