Quantum Groups
Haifa, July 5-12, 2004

Monday, July 5
9:40-10:30 Olivier Schiffmann Canonical Bases of loop algebras via quot schemes
11:00-11:50 Alexander Braverman Enumerative problems in algebraic geometry and quantum groups
12:00-12:50 Serguei Arkhipov Semi-infinite Bernstein-Gelfand-Gelfand complex for small quantum groups and the global cousin complex for the semi-infinite flag variety
14:30-15:20 Victor Ginzburg Quantum groups, the loop Grassmannian and the Springer resolution
15:30-16:20 Evgeny Mukhin Monomial bases in the virasoro modules
16:50-17:40 Ivan Mirkovic Localization for quantum groups at roots of unity
Tuesday, July 6
9:00-9:50 Jonathan Beck Bases for quantum affine SL_2
10:00-10:50 Maxim Vybornov Combinatorial perverse sheaves and IC-modules
11:20-12:10 Roman Bezrukavnikov Homological localization for quantum groups at root of unity
14:00-14:50 David Kazhdan From geometric crystals to crystal bases
15:05-15:55 Dennis Gaitsgory Representations of the small quantum group and of affine algebras at the critical level
16:25-17:15 Sergei Loktev Weyl modules over multi-dimensional currents
17:30-18:20 Amiram Braun Quantum enveloping algebras and the unique factorisation property
Wednesday, July 7
9:00-9:50 Anthony Joseph Quantum KPRV determinants and their classical analogues
10:00-10:50 Steven Shnider From equivariant quantization to dynamical Yang Baxter equations and back
11:20-12:10 Vladimir Roubtsov Elliptic algebras and commuting families in skew fields
14:00-14:50 Marc Rosso Tensor products of irreducible representations of quantum groups at a root of 1
15:05-15:55 Rinat Kedem Fusion products and Kostka polynomials
16:25-17:15 Yuri Bazlov "Bracket algebras" and noncommutative geometry of Weyl groups
17:30-18:20 Tim Hodges Triangular Poisson groups
Thursday, July 8
9:00-9:50 Victor Ostrik Module categories over representations of quantum SL(2) and preprojective algebras
10:00-10:50 Hans Wenzl Braid representations related to spinors
11:20-12:10 Edward Effros On the quantized functional analysis associated with quantum groups
14:00-14:50 Dmitri Nikshych An analogue of Radford's S^4 formula for tensor categories
15:05-15:55 Yasuyuki Kawahigashi Operator algebras and vertex operator algebras
16:25-17:15 Nicolai Reshetikhin Braiding in quantum groups at roots of 1
17:30-18:20 Dimitri Gurevich Geometry of non-commutative orbits
Friday, July 9
9:00-9:50 Hans-Juergen Schneider Representations of pointed Hopf algebras
10:00-10:50 Yorck Sommerhaeuser The index of a character
11:10-12:00 Yevgenia Kashina Higher Frobenius-Schur indicators for semisimple Hopf algebras
13:00-13:50 Stefaan Caenepeel The Brauer group of Azumaya corings and the second etale cohomology group
14:00-14:50 Earl Taft The search for a one-sided quantum group
15:10-16:00 Serban Raianu Duality for Hopf algebras and corings
Sunday, July 11
9:00-9:50 Jasper Stokman Vector valued spherical functions on quantum groups
10:00-10:50 Erik Koelink Dynamical quantum groups and special functions
11:20-12:10 Andrey Mudrov Dynamical reflection equation
14:00-14:50 Jacob Greenstein Filtrations and completions of certain positive level modules over quantum affine algebras
15:05-15:55 Arkady Berenstein Quantum cluster algebras
16:25-17:15 Paul Bressler Levels and characters
Monday, July 12
9:00-9:50 Sonia Natale Double categories and quantum groupoids
10:00-10:50 Jacob Towber Writhe- and amplitude-invariants of smooth 2-knots in R^4
11:20-12:10 Miriam Cohen Fourier transforms on Hopf algebras
14:00-14:50 Istvan Heckenberger Finite dimensional rank 2 Nichols algebras of diagonal type
15:00-15:50 Sara Westreich Finite-dimensional pointed Hopf algebras of type A_n
16:10-17:00 Juan Jose Guccione Hochschild homology of Frobenius algebras, with examples from Hopf algebra theory
17:10-18:00 Ian Marshall The momentum map for hidden symmetries of the Wess-Zumino-Novikov-Witten model