### Noetherian operators and primary decomposition

- Series
- Student Algebraic Geometry Seminar
- Time
- Friday, September 25, 2020 - 09:00 for 1 hour (actually 50 minutes)
- Location
- Microsoft Teams Meeting
- Speaker
- Marc Härkönen – Georgia Tech – mharkonen3@gatech.edu

**Please Note:** Teams link: https://teams.microsoft.com/l/meetup-join/19%3a3a9d7f9d1fca4f5b991b4029b09c69a1%40thread.tacv2/1600608874868?context=%7b%22Tid%22%3a%22482198bb-ae7b-4b25-8b7a-6d7f32faa083%22%2c%22Oid%22%3a%223eebc7e2-37e7-4146-9038-a57e56c92d31%22%7d

Noetherian operators are differential operators that encode primary components of a polynomial ideal. We develop a framework, as well as algorithms, for computing Noetherian operators with local dual spaces, both symbolically and numerically. For a primary ideal, such operators provide an alternative representation to one given by a set of generators. This description fits well with numerical algebraic geometry, taking a step toward the goal of numerical primary decomposition. This is joint work with Justin Chen, Robert Krone and Anton Leykin.