### Seminars for Pure Mathematics

 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 Aand 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