Algebra Seminar

04/04/2018 - 2:00pm to 3:00pm
745 POT
Speaker(s) / Presenter(s): 
Robert Krone, University of California - Davis
Title: FI-algebras
Abstract: An FI-algebra encodes a family of algebras with symmetric group actions, and an ideal of an FI-algebra represents an infinite family of ideals with symmetry.  I will give an overview of some results about when such ideals are finitely generated, and how to compute with them.  Then I will explain how to compute Hilbert series of these ideals.  Along the way we will see some surprising connections to combinatorics, such as well-partial orders and regular languages.
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