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ANTCoG seminar talk
September 26, 2025 @ 4:00 pm – 5:00 pm
Our speaker will be Andrew Stout from CUNY.
Title: Computations of generalized jet schemes in SINGULAR using the arc.lib library
Abstract:
Jet spaces associated to an algebraic variety are important in the area of singularity theory. In this talk, we will give an introduction to this particular area of algebraic geometry with the goal of offering an accessible introduction to research in this area. We will discuss how to write down the equations of a jet space and why having the ability to compute these equations directly in a computer algebra system is important in the first place. Then, we will use the speaker’s new SINGULAR library arc.lib to perform some exploratory calculations. If time permits, we will also discuss some of the more theoretical results of the speaker related to jet schemes and some open questions amenable to experimental exploration via the arc.lib library.
*Support for this project was also provided in-part by a BMCC-CUNY Faculty Development Grant entitled
“Singularity Theory, the Rogers-Ramanujan Identities, and the Cohen-Macaulayness of Jet Schemes.”