报告题目：Modified affine Hecke algebras and quiver Hecke algebras of type $A$
报告人：胡峻 教授 浙江大学（国家杰出青年基金）
时间：4月18号 16:00
地点：管研楼1518
摘要：We introduce some modified forms for the degenerate and non-degenerate affine Hecke algebras of type $A$ such that their finite dimensional module categories are equivalent to the finite dimensional modules categories over the original affine Hecke algebras. We construct some explicit algebra isomorphisms between some generalized Ore localizations of the modified forms of affine Hecke algebras and of the quiver Hecke algebras of type $A$, which generalize Brundan--Kleshchev's isomorphisms between the cyclotomic Hecke algebras and the cyclotomic quiver Hecke algebras of type $A$. As applications, we give a categorical  equivalence for quiver Hecke algebras, a simplicity result for the convolution products of simple modules and prove a conjecture for the center of cyclotomic quiver Hecke algebras in the case for linear quivers.

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