Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Yi Zhang, Institute for Algebra, Johannes Kepler University Linz
Inviter:
Title:
Desingularization in the q-Weyl algebra
Time & Venue:
2018.7.11 16:00-17:00 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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