Time and location
The 73rd Algebra Day will take place at the University of Ottawa on May 27, 2014 in room KED B005 (the department seminar room). Coffee breaks will take place in the first floor lounge.
Organized by Hadi Salmasian.
To see the conference poster, click here.
||Title (click on titles to show/hide abstracts)
||Siddhartha Sahi (Rutgers University)
A Coxeter-type presentation for double affine Hecke algebras
The affine Hecke algebra H' is a smash product
of a finite Hecke algebra H with the group algebra
of a certain lattice X, and it plays a key role in the
representation theory of p-adic groups.
In connection with the Macdonald conjectures,
Cherednik introduced a double affine Hecke
algebra H'', which is obtained by combining a
finite Hecke algebra H with *two* lattices X,Y.
H' has a useful alternate description with
generators corresponding to the nodes of an
affine Coxeter graph. Each generator satisfies
a quadratic polynomial relation, while pairs of
generators satisfy braid relations that can be
read off from the graph.
We have recently obtained a similar alternate
description of H'' in terms of certain extended
graphs, which reveals some hidden symmetries
of H''. In particular, we obtain a natural morphism
from a congruence subgroup of SL(2,Z) to the
group of outer automorphisms of H''.
||Arturo Pianzola (University of Alberta)
Non-abelian cohomology and infinite dimensional Lie theory
For over thirty years non-abelian cohomology (torsors, étale descent…) has played an important role in number theory. During this time, but completely independently, infinite dimensional Lie theory thrived with the advent of Kac-Moody Lie algebras (mostly the affine algebras). About ten years ago a curious relation was found between these two areas. The talk will be a summary of how this connection unfolded. Time permitting, I will describe a new family of infinite dimensional Lie algebras related to Grothendieck’s dessins d’enfants.
||Michel Waldschmidt (Université Paris VI)
The 73rd Algebra Day gratefully acknowledges support from the
Centre de Recherches Mathématiques.