### Seminars for Pure Mathematics

**Spring 2017**

Apr 27 |

Daniel Vallieres (California State University at Chico) |

Numerical evidence for higher order Stark-type conjectures |

Algebra and its applications |

Time: 3:35 pm |

Location: 104 LOV |

Stark’s main conjecture has been refined by various authors especially in the abelian setting. Stark himself gave a more precise conjecture “over Z” for imprimitive L-functions having precisely ... More |

Apr 20 |

Lydia Eldredge (FSU) |

Invariant Harmonic Differential Forms on the Upper Half Space |

Algebra and its applications |

Time: 3:35 pm |

Location: 104 LOV |

We give a proof that there is no nonzero harmonic differential form on the upper half space that is invariant under SL_2(C) that is of degree other than zero or the top degree. We will define the obje... More |

Apr 19 |

Robed Beauvile (FSU) |

Homotopy Type Theory, the Coq proof assistant, and partial orders on binary trees |

Honor Thesis Defense |

Time: 1:30pm |

Location: LOV204B |

Apr 18 |

Aamir Rasheed (FSU) |

Essential embeddings and immersions of surfaces in a 3-manifold |

Seminar: Geometry and Topology |

Time: 3:35 |

Location: 201 LOV |

In this talk we will discuss a theorem which gives a sufficient condition for two embedded surfaces in an irreducible 3-manifold to be isotopic. We shall also discuss some generalizations. For exampl... More |

Apr 13 |

Xiping Zhang (FSU) |

Characteristic classes of Determinantal Varieties |

Algebra and its applications |

Time: 3:35 pm |

Location: 104 LOV |

Determinantal Varieties are quite interesting varieties. In this talk we give an algorithm to compute the Chern-Mather class, Chern-Schwartz-Macpherson class, and the local Euler obstruction. We also ... More |

Apr 7 |

Corey Harris (FSU) |

Effective methods in intersection theory and combinatorial algebraic geometry |

Ph.D. Dissertation Defense |

Time: 8:00 |

Location: 204B |

Apr 6 |

Grayson Jorgenson (FSU) |

Duality defect in codimension 2 and 3 |

Algebra and its applications |

Time: 3:35 pm |

Location: 104 LOV |

It is conjectured that the dual variety of any smooth subvariety of dimension >2N/3 in projective N-space is a hypersurface. This is weaker than Hartshorne’s complete intersection conjecture but is ... More |

Apr 4 |

Jakob Møller Andersen (FSU) |

Rigidity and the Space of Flags |

Seminar: Geometry and Topology |

Time: 3:35 |

Location: 201 LOV |

This will be an introduction to an ongoing project that I am working on in collaboration with S. Preston and M. Bauer. To give some background we're going to review some rigidity theory for surfaces i... More |

Mar 30 |

Wen Xu (FSU) |

Reducible cases of the Appell F1 function |

Algebra and its applications |

Time: 3:35 pm |

Location: 104 LOV |

The Appell F1 function is a bivariate A-hypergeometric function, and satisfies a system of differential equations of rank 3. It is known for which parameters this system is reducible. We will show for... More |

Mar 23 |

Xiping Zhang (FSU) |

Hirzebruch–Riemann–Roch theorem on Singular Spaces |

Algebra and its applications |

Time: 3:35 pm |

Location: 104 LOV |

Hirzebruch–Riemann–Roch theorem is a fascinating result in Complex Manifold, and I will talk about how to tell the story on singular spaces. |

Mar 2 |

Michael Niemeier (FSU) |

Simplicial Abelian Groups and the W Bar Construction |

Algebra and its applications |

Time: 3:35 pm |

Location: 104 LOV |

A simplicial abelian group is a contravariant functor from the ordinal number category to the category of abelian groups and a bisimplicial abelian group is a contravariant functor from the ordinal nu... More |

Feb 23 |

Kyounghee Kim (FSU) |

Rational Surface Automorphism: Homology actions of real mappings |

Algebra and its applications |

Time: 3:35 pm |

Location: 104 LOV |

Let $$f:X \to X$$ be a quadratic rational surface automorphism fixing a cuspidal cubic. Let $$X_R$$ be the closure of the $$\mathbb{RP}^2$$ inside $$X$$. When the multiplier at the invariant cuspidal ... More |

Feb 16 |

Ivan Martino (Northeastern University) |

Syzygies of the Veronese and Pinched Veronese modules |

Algebra and its applications |

Time: 3:35 pm |

Location: 104 LOV |

There has been a lot of effort to find the graded Betti numbers of the Veronese ring. I am going to define the (pinched) Veronese modules and present a sample of literature results, like the work of E... More |

Feb 14 |

Leona Sparaco (FSU) |

Character Varieties of Some Families of Hyperbolic Link Complements |

Geometry and Topology Seminar |

Time: 3:35 |

Location: Love 201 |

Let M be a hyperbolic manifold. The SL2(C) character variety of M is essentially the set of all representations pi_1(M) --> SL2(C) up to trace equivalence. This algebraic set is connected to ... More |

Feb 9 |

Yaineli Valdes (FSU) |

A multifunctor from Waldhausen Categories to the 1-type of their K-Theory spectra |

Algebra and its applications |

Time: 3:35 pm |

Location: 104 LOV |

Muro and Tonks constructed an algebraic model for the stable 1-type of the K-Theory spectrum of any Waldhausen by ways of stable quadratic modules. Stable 1-types are classified by Picard groupoids, s... More |

Feb 2 |

Ettore Aldrovandi (FSU) |

Extensions of Lie Algebroids and generalized differential operators |

Algebra and its applications |

Time: 3:35 pm |

Location: 104 LOV |

A Lie algebroid, or Lie-Rinehart algebra, is a module over a commutative k-algebra A and at the same time it is a k-Lie Algebra. The prototypical example is the algebra of derivations of a k-al... More |

Jan 26 |

Ezra Miller (Duke University) |

Algebraic data structures for topological summaries |

Algebra and its applications |

Time: 3:35 pm |

Location: 104 LOV |

This talk introduces a combinatorial algebraic framework to encode, compute, and analyze topological summaries of geometric data. The motivating problem from evolutionary biology involves statistics o... More |

Jan 19 |

Organizational Meeting |

Algebra and Its Applications |

Time: 3:35 PM |

Location: 104 |