Double affine Hecke algebras
CMSA 20 Garden Street, Cambridge, MA, United StatesSpeaker: Pavel Etingof (MIT) Title: Double affine Hecke algebras Abstract: Double affine Hecke algebras (DAHAs) were introduced by I. Cherednik in the early 1990s to prove Macdonald's conjectures. A DAHA is the quotient of the group algebra of the elliptic braid group attached to a root system by Hecke relations. DAHAs and their degenerations are now central objects of representation […]
Cohomologies on almost complex manifolds and their applications
CMSA 20 Garden Street, Cambridge, MA, United StatesSpeaker: Spiro Karigiannis (University of Waterloo) Title: Cohomologies on almost complex manifolds and their applications Abstract: We define three cohomologies on an almost complex manifold (M, J), defined using the Nijenhuis-Lie derivations induced from the almost complex structure J and its Nijenhuis tensor N, regarded as vector-valued forms on M. One of these can be applied to distinguish non-isomorphic non-integrable […]