Type: Seminar

Distribution: World

Expiry: 11 Sep 2017

CalTitle1: On the center of cyclotomic quiver Hecke algebras and cyclotomic Hecke algebras of type A

Auth: kevinc@pkevinc.pc (assumed)

Jun Hu (Beijing Institute of Technology) Friday 11 August, 12-1pm, Place: Carslaw 375 Title: On the center of cyclotomic quiver Hecke algebras and cyclotomic Hecke algebras of type A Abstract: Let n be a natural number and K be any field. For any symmetric generalized Cartan matrix A, any beta in the positive root lattice with height n and any integral dominant weight Lambda, one can associate a quiver Hecke algebras R_beta(K) and its cyclotomic quotient R_beta^Lambda(K) over K. It has been conjectured that the natural map from R_beta(K) to R_beta^Lambda(K) maps the centre of R_beta(K) surjectively onto the centre of R_beta^Lambda(K). A similar conjecture claims that the centre of the affine Hecke algebra of type A maps surjectively onto the center of its cyclotomic quotient---the cyclotomic Hecke algebra of type G(l,1,n) over K. In this talk I will explain my proof of these two conjectures.