ar X iv : 0 90 2 . 17 95 v 1 [ m at h . A G ] 1 1 Fe b 20 09 CATEGORICAL GEOMETRIC SKEW HOWE DUALITY

ar X iv : 0 90 2 . 17 95 v 2 [ m at h . A G ] 1 9 N ov 2 00 9 CATEGORICAL GEOMETRIC SKEW HOWE DUALITY

We categorify the R-matrix isomorphism between tensor products of minuscule representations of Uq(sln) by constructing an equivalence between the derived categories of coherent sheaves on the corresponding convolution products in the affine Grassmannian. The main step in the construction is a categorification of representations of Uq(sl2) which are related to representations of Uq(sln) by quant...

ar X iv : 0 90 2 . 17 29 v 1 [ m at h . N T ] 1 0 Fe b 20 09 ON THE DIMENSION OF AG TRACE CODES

We determine the dimension of certain q-ary algebraic-geometric codes, extending previous results of Van Der Vlugt for p-ary algebraic-geometric trace codes.

ar X iv : 0 90 2 . 32 39 v 1 [ m at h . D G ] 1 8 Fe b 20 09 Gauge theory in higher dimensions , II

ar X iv : 0 90 2 . 19 17 v 1 [ m at h . D S ] 1 1 Fe b 20 09 AVERAGES ON ANNULI OF EULIDEAN SPACE

We study the range of validity of differentiation theorems and ergodic theorems for R actions, for averages on “thick spheres” of Euclidean space.

ar X iv : 0 90 2 . 39 12 v 1 [ m at h . G R ] 2 3 Fe b 20 09 Brent Everitt The Combinatorial Topology