### Seminars for Pure Mathematics

**Spring 2019**

Apr 25 |

Yi Zhou (FSU) |

Algorithms for Factoring Difference Operators II |

Algebra and Its Applications |

Time: 3:35 PM |

Location: LOV 104 |

In this talk the algorithm for bounding x-degrees of right-hand factors will be introduced. I will focus on the notion of generalized exponents, which plays a crucial role in the algorithm. Generalize... More |

Apr 18 |

Lydia Eldredge (FSU) |

Finding the smallest Mahler Measure in a Quadratic Field |

Algebra and Its Applications |

Time: 3:35 PM |

Location: LOV 104 |

I'll talk about the problem of finding the algebraic integer of smallest Mahler measure in a given number field. (Where this integer is not a root of unity and is a primitive element.) I'll begin wit... More |

Apr 17 |

M. Ingram |

Algebraic Function Fields II |

Algebras and Analysis |

Time: 3:35 |

Location: 104 love |

Apr 11 |

Yi Zhou (FSU) |

Algorithms for Factoring Difference Operators |

Algebra and Its Applications |

Time: 3:35 PM |

Location: LOV 104 |

This is an ATE exam. |

Apr 10 |

Judith Vanegas (Universidad Tecnico Manabi, Ecuador) |

Weighted Dirac Operators |

Algebras and Analysis |

Time: 3:35 |

Location: 104 Love3 |

Apr 3 |

Judith Vanegas |

A Robin problem for the Bitsadze equation |

Algebras and Analysis |

Time: 3:35 |

Location: 104 Love |

Apr 2 |

Sam Ballas (FSU) |

Gluing equation for projective structures on 3-manifolds |

Topology and Geometry Seminar |

Time: 3:35p |

Location: 201 |

One of Thurstonâ€™s many amazing ideas are his hyperbolic gluing equations. Roughly speaking, given an ideally triangulated 3-manifold M, one can construct a set of complex polynomial equations whose ... More |

Mar 28 |

Grayson Jorgenson (FSU) |

A relative Segre zeta function |

Algebra and Its Applications |

Time: 3:35PM |

Location: LOV 104 |

We describe a generalization of the Segre zeta function defined by Aluffi to subschemes of projective bundles. Given a rational map of projective bundles P(F) to P(E) induced by a surjection of the un... More |

Mar 27 |

M. Ingram |

Algebraic Function Fields II |

Algebras and Analysis |

Time: 3:35 |

Location: 104 Love |

Mar 13 |

M. Ingram |

Algebraic Function Fields |

Algebras and Analysis |

Time: 3:35 |

Location: 104 Love |

Mar 7 |

Tyler Foster (FSU) |

Katz, Rabinoff, and Zureick-Brown's work on rational point counts II |

Algebra and Its Applications |

Time: 3:35 PM |

Location: LOV 104 |

Mar 6 |

B. Prather |

Hopf Algebras : Explicit Examples |

Algebras and Analysis |

Time: 3:35 |

Location: 104 Love |

Feb 28 |

Anh Tran (University of Texas at Dallas) |

Some conjectures about the colored Jones polynomial. |

Special Algebra/Topology Seminar |

Time: 3:35 PM |

Location: LOV 104 |

We will discuss some old and new conjectures about the colored Jones polynomial. These include the volume conjecture, AJ conjecture, slope conjecture, and strong slope conjecture. The vo... More |

Feb 27 |

B. Prather |

Hopf Algebras |

Algebras and Analysis |

Time: 3:35 |

Location: 104 Love |

Feb 26 |

Anindya Chanda (FSU) |

An introduction to Hyperbolic Groups With Word Metric in the Language of Automatons |

Geometry Seminar |

Time: 2:00 |

Location: 104 LOV |

In Geometric and Combinatorial Group Theory, we study finitely generated groups by relating them with their geometric counterparts, Cayley Graphs, endowed with a metric, the so called the word metric.... More |

Feb 21 |

Tyler Foster |

Katz, Rabinoff, and Zureick-Brown's work on rational point counts |

Algebra and Its Applications |

Time: 3:35 PM |

Location: LOV 104 |

Last semester, I gave several talks introducing the non-Archimedean analytic background necessary for Katz, Rabinoff, and Zureick-Brown's proof that there exists a uniform bound on the number of ratio... More |

Feb 20 |

Nathan Reilly |

Eisenstein Series and Modular Functions |

Algebras abd Analysis |

Time: 3:35 |

Location: 104 Love |

Feb 13 |

Nathan Reilly |

The Eisenstein series and Modular Functions |

Algebras and Analysis |

Time: 3:35 |

Location: 104 Love |

Feb 7 |

Mark van Hoeij (FSU) |

The Complexity of Computing all Subfields of an Algebraic Number Field |

Algebra and Its Applications |

Time: 3:35 PM |

Location: LOV 104 |

For a finite separable field extension K/k, all subfields can be obtained by intersecting so-called principal subfields of K/k. The talk will present a way to quickly compute these intersections. If t... More |

Feb 5 |

John Bergschneider (FSU) |

Finite 2-Stratifold Groups |

Topology and Geometry Seminar |

Time: 3:35p |

Location: 201 |

2-Stratifolds are a generalization of closed surfaces in that they contain simple closed curves where several sheets meet. Currently, there is no general classification of these spaces or their funda... More |

Feb 4 |

Alex Reznikov (FSU) |

A sum-product estimate in finite fields, and applications |

Analysis & PDE |

Time: 2:30 |

Location: LOV 106 |

We will start reading the paper by Bourgain, Katz and Tao on the so-called "sum-product" estimates. |

Jan 31 |

Paolo Aluffi (FSU) |

Newton-Okounkov bodies and Segre classes. |

Algebra and Its Applications |

Time: 3:35 PM |

Location: LOV 104 |

We will present a new approach to the computation of the Segre class of a subscheme of projective space, based on the construction of a suitable Newton-Okounkov body. The result may be viewed as a co... More |

Jan 30 |

B. Prather |

Octonions and Hopf Algebras |

Algebras and Analysis |

Time: 3:35 |

Location: 104 Love |

Jan 24 |

Kyounghee Kim (FSU) |

Entropy of real rational surface automorphisms |

Algebra and Its Applications |

Time: 3:35 PM |

Location: LOV 104 |

Jan 23 |

B. Prather |

Octonions and Physics |

Algebras and Analysis |

Time: 3:35 |

Location: 104 Love |

Jan 22 |

Lorenzo Ruffoni (FSU) |

Strict hyperbolization, and its applications |

Topology and Geometry Seminar |

Time: 3:35p |

Location: LOV 201 |

Gromov introduced some procedures to turn a given polyhedron into a new one endowed with a piecewise Euclidean metric of non-positive curvature, while preserving some of its original topological featu... More |

Jan 16 |

Organizational |

Algebras and Analysis |

Time: 3:35 |

Location: 107 Love |