Seminars and Colloquia by Series

TBA

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

TBA

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

TBA

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

TBA

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

TBA

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

Nonnegative Quadratics over Stanley Reisner Varieties

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

Characterizing multigraded regularity on products of projective spaces

Series
Algebra Student Seminar
Time
Friday, October 15, 2021 - 10:00 for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Mahrud SayrafiUniversity 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.

Tropical intersection theory I

Series
Algebra Student Seminar
Time
Friday, September 24, 2021 - 10:00 for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Trevor GunnGeorgia Tech

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.

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The algebra of linear PDE

Series
Algebra Student Seminar
Time
Friday, September 17, 2021 - 10:00 for 1 hour (actually 50 minutes)
Location
Skiles 005, or ONLINE
Speaker
Marc HärkönenGeorgia Tech

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.