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UID:2024110503365520241104T15000020241104T155000672a3b97ab4ed@uic.edu
CATEGORIES:MEETING
STATUS:TENTATIVE
DTSTAMP:20241104T042756
DTSTART:20241104T150000
DTEND:20241104T155000
SUMMARY:Algebraic Geometry Seminar: GrÃ¶bner degeneration in Schubert calculus, by Patricia Klein
DESCRIPTION:Patricia Klein (Texas A&M): Gröbner degeneration in Schubert calculus Roughly speaking, enumerative geometry is a field whose goal is to count the "typical" number of solutions to certain types of families of polynomial equations, particularly when that number is finite. With a great deal of effort, especially in the wake of the work of Hermann Schubert around the turn of the 20th century, mathematicians made rigorous the notion of a "typical" answer and also made rigorous certain simplifying strategies Schubert had suggested. Indeed, making Schubert's arguments precise was the topic of Hilbert's 15th problem, and the field born from this study is now called Schubert calculus. The simplifications Schubert had suggested entail sliding or deforming the geometric objects to be studied while preserving the total number of whatever it is one wants to count. These strategies are what are now called degeneration techniques. In this talk, we will describe some modern questions in Schubert calculus and explain how these questions are studied via Gröbner degeneration in particular. Please click here to make changes to, or delete, this seminar announcement. | Event post: https://mscs.uic.edu/events?page_id=5189281
LOCATION:636 SEO Chicago IL
CLASS:PRIVATE
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