FSUMATH

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 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