(2018.07.11 16:00pm N205)Yi Zhang:Desingularization in the q-Weyl algebra
Time：2018-07-02 Source：KLMM
Title： Desingularization in the q-Weyl algebra
Speaker： Yi Zhang (Institute for Algebra, Johannes Kepler University Linz)
Time&Venue： 2018.07.11 16:00pm N205
Abstract： 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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