### TBA

- Series
- Algebra Student Seminar
- Time
- Friday, December 3, 2021 - 10:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Tianyi Zhang – Georgia Tech

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- Series
- Algebra Student Seminar
- Time
- Friday, December 3, 2021 - 10:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Tianyi Zhang – Georgia Tech

- Series
- Algebra Student Seminar
- Time
- Friday, November 19, 2021 - 10:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Jaewoo Jung – Georgia Tech

- Series
- Algebra Student Seminar
- Time
- Friday, November 12, 2021 - 10:00 for 1 hour (actually 50 minutes)
- Location
- Speaker
- Mary Li

- Series
- Algebra Student Seminar
- Time
- Friday, November 5, 2021 - 10:00 for 1 hour (actually 50 minutes)
- Location
- Skile 005
- Speaker
- Ian Lewis – Georgia Tech

- Series
- Algebra Student Seminar
- Time
- Friday, October 29, 2021 - 10:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Tong Jin

- Series
- Algebra Student Seminar
- Time
- Friday, October 22, 2021 - 10:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Kevin Shu – Georgia Tech

Nonnegative polynomials are of fundamental interest in the field of real algebraic geometry. We will discuss a model of nonnegative polynomials over an interesting class of algebraic varieties which have potential applications in optimization theory. In particular, we will discuss connections between this subject and algebraic topology and the geometry of simplicial complexes.

- Series
- Algebra Student Seminar
- Time
- Friday, October 15, 2021 - 10:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Mahrud Sayrafi – University of Minnesota

Motivated by toric geometry, Maclagan-Smith defined the multigraded Castelnuovo-Mumford regularity for sheaves on a simplicial toric variety. While this definition reduces to the usual definition on a projective space, other descriptions of regularity in terms of the Betti numbers, local cohomology, or resolutions of truncations of the corresponding graded module proven by Eisenbud and Goto are no longer equivalent. I will discuss recent joint work with Lauren Cranton Heller and Juliette Bruce on generalizing Eisenbud-Goto's conditions to the "easiest difficult" case, namely products of projective spaces, and our hopes and dreams for how to do the same for other toric varieties.

- Series
- Algebra Student Seminar
- Time
- Friday, October 1, 2021 - 10:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Trevor Gunn – Georgia Tech – tgunn@gatech.edu

This is the second part of a two part introduction to tropical intersection theory. We will cover the tropical analogues of what was learned last week with some focus on what the speaker is currently researching.

- Series
- Algebra Student Seminar
- Time
- Friday, September 24, 2021 - 10:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Trevor Gunn – Georgia Tech – tgunn@gatech.edu

This is the first part of a two part introduction to tropical intersection theory. The first part will review some of the classical theory. We will mostly focus on the parts of the classical theory that have counterparts in the tropical theory but we may also cover some elements of the classical theory which do not have tropical analogues.

- Series
- Algebra Student Seminar
- Time
- Friday, September 17, 2021 - 10:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005, or ONLINE
- Speaker
- Marc Härkönen – Georgia Tech – harkonen@gatech.edu

**Please Note:** Online link: https://teams.microsoft.com/l/meetup-join/19%3a3a9d7f9d1fca4f5b991b4029b09c69a1%40thread.tacv2/1631746973297?context=%7b%22Tid%22%3a%22482198bb-ae7b-4b25-8b7a-6d7f32faa083%22%2c%22Oid%22%3a%2206706002-23ff-4989-8721-b078835bae91%22%7d

This talk is meant to be a gentle introduction to the algebraic theory of linear PDE with constant coefficients. We will present the connection between submodules of free modules of polynomial rings and solution sets of PDEs, and establish certain results relating analytical properties of solutions with algebraic properties of polynomial modules. We will also review classical spaces of functions in distribution theory and Fourier analysis.

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