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Desingularization in the q-Weyl algebra

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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.
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