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### FI-algebras

**Algebra & Discrete Mathematics**

Speaker: | Robert Krone, University of California Davis |

Related Webpage: | https://www.math.ucdavis.edu/people/general-profile?fac_id=rkrone |

Location: | 2112 MSB |

Start time: | Wed, Mar 14 2018, 4:10PM |

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.