Desingularization in the q-Weyl algebra
副标题:
时间:2018-07-02 来源:数学机械化重点实验室
题目: Desingularization in the q-Weyl algebra
报告人: Yi Zhang (Institute for Algebra, Johannes Kepler University Linz)
时间地点: 2018.07.11 16:00pm N205
摘要: We study the desingularization problem in the first $q$-Weyl algebra. We give an order bound for desingularized operators, and thus derive an algorithm for computing desingularized operators in the first q-Weyl algebra. Moreover, an algorithm is presented for computing a generating set of the first q-Weyl closure of a given q-difference operator. As an application, we certify that several instances of the colored Jones polynomial are Laurent polynomial sequences by computing the corresponding desingularized operator. This is a joint work with Christoph Koutschan.