### Meeting on Applied Algebraic Geometry (MAAG 2020)

- Series
- Algebra Seminar
- Time
- Saturday, April 25, 2020 - 09:00 for 8 hours (full day)
- Location
- Skiles
- Speaker
- TBA

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- Series
- Algebra Seminar
- Time
- Saturday, April 25, 2020 - 09:00 for 8 hours (full day)
- Location
- Skiles
- Speaker
- TBA

- Series
- Algebra Seminar
- Time
- Monday, March 23, 2020 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Hannah Larson – Stanford University – hlarson@stanford.edu

TBD

- Series
- Algebra Seminar
- Time
- Monday, March 2, 2020 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Chris Manon – University of Kentucky – christopher.manon@uky.edu

TBD.

- Series
- Algebra Seminar
- Time
- Monday, February 24, 2020 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Peter Olver – University of Minnesota – olver@umn.edu

A classical theorem of Lie and Tresse states that the algebra of differential invariants of a Lie group or (suitable) Lie pseudo-group action is finitely generated. I will present a fully constructive algorithm, based on the equivariant method of moving frames, that reveals the full structure of such non-commutative differential algebras, and, in particular, pinpoints generating sets of differential invariants as well as their differential syzygies. Some applications and outstanding issues will be discussed.

- Series
- Algebra Seminar
- Time
- Monday, February 10, 2020 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Zvi Rosen – Florida Atlantic University

TBA

- Series
- Algebra Seminar
- Time
- Monday, February 3, 2020 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Matt Baker – Georgia Tech – mbaker@math.gatech.edu

**Please Note:** TBA

- Series
- Algebra Seminar
- Time
- Monday, January 13, 2020 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Yoav Len – Georgia Tech – yoav.len@math.gatech.edu

The talk will revolve around combinatorial aspects of Abelian varieties. I will focus on Pryms, a class of Abelian varieties that occurs in the presence of double covers, and have deep connections with torsion points of Jacobians, bi-tangent lines of curves, and spin structures. I will explain how problems concerning Pryms may be reduced, via tropical geometry, to problems on metric graphs. As a consequence, we obtain new results concerning the geometry of special algebraic curves, and bounds on dimensions of certain Brill–Noether loci.

- Series
- Algebra Seminar
- Time
- Tuesday, November 19, 2019 - 13:30 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Justin Chen – Georgia Institute of Technology – jchen646@gatech.edu

Function classes are collections of Boolean functions on a finite set. Recently, a method of studying function classes via commutative algebra, by associating a squarefree monomial ideal to a function class, was introduced by Yang. I will describe this connection, as well as some free resolutions and Betti numbers for these ideals for an interesting collection of function classes, corresponding to intersection-closed posets. This is joint work with Chris Eur, Greg Yang, and Mengyuan Zhang.

- Series
- Algebra Seminar
- Time
- Tuesday, November 12, 2019 - 13:30 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Josephine Yu – Georgia Tech – jyu@math.gatech.edu

A multivariate complex polynomial is called stable if any line in any positive direction meets its hypersurface only at real points. Stable polynomials have close relations to matroids and hyperbolic programming. We will discuss a generalization of stability to algebraic varieties of codimension larger than one. They are varieties which are hyperbolic with respect to the nonnegative Grassmannian, following the notion of hyperbolicity studied by Shamovich, Vinnikov, Kummer, and Vinzant. We show that their tropicalization and Chow polytopes have nice combinatorial structures related to braid arrangements and positroids, generalizing some results of Choe, Oxley, Sokal, Wagner, and Brändén on Newton polytopes and tropicalizations of stable polynomials. This is based on joint work with Felipe Rincón and Cynthia Vinzant.

- Series
- Algebra Seminar
- Time
- Tuesday, November 5, 2019 - 13:30 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Daniel Corey – University of Wisconsin – dcorey@math.wisc.edu

We introduce the notion of tropical curves of hyperelliptic type. These are tropical curves whose Jacobian is isomorphic to that of a hyperelliptic tropical curve, as polarized tropical abelian varieties. Using the tropical Torelli theorem (due to Caporaso and Viviani), this characterization may be phrased in terms of 3-edge connectiviations. We show that being of hyperelliptic type is independent of the edge lengths and is preserved when passing to genus ≥2 connected minors. The main result is an excluded minors characterization of tropical curves of hyperelliptic type.

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