-
Takuro Abe, Kyushu University
-
Theo Douvropoulos, Amherst
-
Misha Feigin, University of Glasgow
-
Christian Stump, Ruhr-Universität Bochum
-
Masahiko Yoshinaga, Osaka University
About:
Introduction
Reflection arrangements appear in various areas of mathematics including algebra, combinatorics, differential geometry, integrability and singularity theory. The concrete research strands within these areas that this workshop focused on include Cherednik algebras, Coxeter-Catalan combinatorics, logarithmic vector fields, Frobenius manifolds and flat invariants. The main goals of the workshop were to bring together specialists from these diverse fields, to explore remarkable connections between these areas, to enhance viewpoints and to stimulate further research.
The keynote talks were given by P. Etingof, C. Hertling, V. Reiner, A. Shepler and M. Yoshinaga.
The workshop was organised in partnership with the Clay Mathematics Institute.
Resources
Programme:
| Monday 13 March | ||
| Registration with coffee | ||
| Welcome session | ||
| Claus Hertling, University of Mannheim | Upper triangular matrices and induced structures: vanishing cycles, monodromy groups, distinguished bases, braid group orbits, moduli spaces | |
| Coffee/tea | ||
| Alessandro Arsie , The University of Toledo | On Integrable Hierarchies Associated to Orbit Spaces of Reflection Groups | |
| Lunch | ||
| Ian Strachan, University of Glasgow | From Extended Affine Weyl Groups to duVal singularities via hyperplane arrangements | |
| Kyoji Saito, RIMS, Kyoto University | Higher homotopy classes of elliptic Weyl group regular orbit spaces | |
| Coffee/tea | ||
| Karoline Van Gemst, University of Sheffield | Saito Discriminant Strata for extended affine Weyl groups | |
| Eric Sommers, University of Massachusetts Amherst | On the Weyl group representations arising from Hessenberg varieties | |
| Informal Welcome Reception | ||
| Tuesday 14 March | ||
| Vic Reiner, University of Minnesota | Koszulity and Stirling representations | |
| Coffee/tea | ||
| Gerhard Röhrle, Ruhr-University Bochum | Accurate Reflection Arrangements | |
| Guido Carlet, Université de Bourgogne | Enumeration of hypermaps and Hirota equations for extended rationally constrained KP. | |
| Lunch | ||
| Alexandru Suciu, Northeastern University | Lie algebras associated to hyperplane arrangements | |
| Eleonore Faber, University of Leeds | Maximal Cohen-Macaulay modules for discriminants of pseudo-reflection groups | |
| Coffee/tea | ||
| Michael Cuntz, Leibniz Universität Hannover | Grassmannians over rings and subpolygons | |
| Posters | Maddalena Pismataro (Bologna), Patrick Wegener (Hannover), Sven Wiesner (Bochum), Johan Wright (Glasgow), Sara Perletti (Università degli Studi di Milano-Bicocca); Leo Kaminski. University of Glasgow | |
| Wednesday 15 March | ||
| Masahiko Yoshinaga, Osaka University | Edelman-Reiner conjecture revisited | |
| Coffee/Tea | ||
| Galen Dorpalen-Barry, Ruhr-University Bochum | The Poincare-Extended ab-Index | |
| Alexander Veselov, Loughborough University | On real locus configurations and V-systems | |
| Lunch | ||
| Free afternoon/Free discussion | ||
| Thursday 16 March | ||
| Pavel Etingof, MIT - Clay Lecture | Holonomic modules over Cherednik algebras | |
| Coffee/Tea | ||
| Theo Douvropoulos, University of Massachusetts, Amherst | Decompositions of parking spaces, reflection laplacians, and free multiplicities on retricted arrangements. |
|
| Gwyn Bellamy, University of Glasgow | Hyperplane arrangements arising from symplectic singularities | |
| Lunch | ||
| Nathan Williams, University of Texas at Dallas | Coxeter combinatorics and Braid Varieties | |
| Eva-Maria Feichtner, University of Bremen | A Leray model for the Orlik-Solomon algebra of a matroid | |
| Coffee/Tea | ||
| Aram Dermenjian, University of Manchester | Enumerating Weyl Cones of Shi arrangements | |
| Georges Neaime, Ruhr-Universität Bochum | Interval Garside Theory and the K(\pi,1) conjecture for Artin-Tits groups | |
| Conference Dinner | ||
| Friday 17 March | ||
| Anne Shepler, University of North Texas | Solomon's Theorem, differential derivations, and Coxeter numbers over arbitrary fields | |
| Coffee/tea | ||
| Emanuele Delucchi, SUPSI - University of applied arts and sciences of Southern Switzerland | Abelian reflection arrangements (in the guise of... a stepping stone) | |
| Ivan Marin, CNRS and Universite d'Amiens | Parabolic subgroups for complex braid groups | |
| Lunch | ||
| Workshop close |
