### Seminars for Pure Mathematics

**Spring 2018**

Apr 26 |

Grayson Jorgenson (FSU) |

Stable maps and Kontsevich's formula III |

Algebra seminar |

Time: 3:35pm |

Location: 104 Love |

In the complex projective plane, how many degree d rational curves pass through 3d - 1 given points in general position? The answers N_d to this question for d = 1,2,3,4 were known classically, but on... More |

Apr 24 |

Aamir Rasheed (FSU Math) |

Hyperbolic 3-manifolds and malnormal maximal abelian groups. |

Topology and Geometry |

Time: 3.35PM |

Location: 201 |

Any compact irreducible 3-manifold admits a decomposition (JSJ decomposition) into pieces which are either Seifert fibered or Atoroidal. Waldhausen studied and classified manifolds where the JSJ decom... More |

Apr 19 |

Grayson Jorgenson (FSU) |

Stable maps and Kontsevich's formula II |

Algebra seminar |

Time: 3:35pm |

Location: 104 Love |

In the complex projective plane, how many degree d rational curves pass through 3d - 1 given points in general position? The answers N_d to this question for d = 1,2,3,4 were known classically, but on... More |

Apr 17 |

Wolfgang Metzler (Goethe University, Frankfurt) |

The Andrews-Curtis conjecture |

Topology and Geometry |

Time: 3.35PM |

Location: 201 |

We will present a proposed proof of the Andrews-Curtis Conjecture. |

Apr 12 |

Grayson Jorgenson (FSU) |

Stable maps and Kontsevich's formula |

Algebra seminar |

Time: 3:35pm |

Location: 104 Love |

In the complex projective plane, how many degree d rational curves pass through 3d - 1 given points in general position? The answers N_d to this question for d = 1,2,3,4 were known classically, but on... More |

Apr 10 |

Yaineli Valdes (FSU) |

The 1-type of algebraic K-Theory as a multifunctor |

PhD Defense |

Time: 3 PM |

Location: LOV 106 |

It is known that the category of Waldhausen categories is a closed symmetric multicategory and algebraic K-theory is a functor from the category of Waldhausen categories to the category of spectra. By... More |

Apr 5 |

Amod Agashe (FSU) |

Stark-Heegner/Darmon points |

Algebra seminar |

Time: 3:35pm |

Location: 104 Love |

We will provide more details about the construction of Stark-Heegner/Darmon points on elliptic curves over arbitrary number fields that was discussed in our talk last Fall. |

Apr 3 |

Martins Bruveris (Brunel University London) |

The L^2-metric on C^infty(M,N) |

Topology and Geometry |

Time: 4.35PM |

Location: 201 |

Let M, N be finite-dimensional manifolds with M compact. In this talk I will look at the Riemnannian geometry on the space C^\infty(M,N) of smooth maps equipped with the L^2-Riemannian m... More |

Mar 29 |

Yaineli Valdes (FSU) |

A (Very) Short Introduction to K-Theory II |

Algebra seminar |

Time: 3:35pm |

Location: 104 Love |

K-theory is a very large, useful subject with applications in many areas of mathematics. Vaguely speaking, it is very useful for classifying invariants and it can also be seen as a generalization of l... More |

Mar 27 |

Jay Leach (FSU Math) |

Surfaces, Symmetries and the Character Variety |

Topology and Geometry |

Time: 3.35PM |

Location: 201 |

Mar 22 |

Yaineli Valdes (FSU) |

A (Very) Short Introduction to K-Theory |

Algebra seminar |

Time: 3:35pm |

Location: 104 Love |

K-theory is a very large, useful subject with applications in many areas of mathematics. Vaguely speaking, it is very useful for classifying invariants and it can also be seen as a generalization of l... More |

Mar 20 |

Julien Paupert (Arizona State University) |

Presentations for cusped arithmetic hyperbolic lattices |

Topology and Geometry |

Time: 3.35PM |

Location: 201 |

We present a general method to compute a presentation for any cusped hyperbolic lattice Gamma, applying a classical result of Macbeath to a suitable Gamma-invariant horoball cover of the corresponding... More |

Mar 15 |

Yaineli Valdes (FSU) |

A (Very) Short Introduction to K-Theory |

Algebra seminar |

Time: 3:35pm |

Location: 104 Love |

K-theory is a very large, useful subject with applications in many areas of mathematics. Vaguely speaking, it is very useful for classifying invariants and it can also be seen as a generalization of... More |

Mar 8 |

Ben Prather (FSU) |

Why not sedenions? - II |

Algebra seminar |

Time: 3:35pm |

Location: 104 Love |

Various generalizations of the octonions will be presented, and difficulties that arise in higher dimension explored. In particular, any two octonions generate a quaternionic sub algebra. However, th... More |

Mar 6 |

John Bergschneider (FSU Math) |

Fundamental groups of 3-Manifolds with Real Projective Plane Category 2 |

Topology and Geometry |

Time: 3.35PM |

Location: 201 |

A subset W of a Manifold M is k-contractible if the inclusion factors homotopically through k, where k is a cw-complex of dimension lower then M. The k-category of a manifold is the smallest number o... More |

Mar 1 |

Ben Prather (FSU) |

Why not sedenions? |

Algebra seminar |

Time: 3:35pm |

Location: 104 Love |

Various generalizations of the octonions will be presented, and difficulties that arise in higher dimension explored. In particular, any two octonions generate a quaternionic sub algebra. However, th... More |

Feb 27 |

Braulio Molina Gonzalez (FSU Math) |

Discrete Dynamical Systems and Hyperbolic Fixed Points |

Topology and Geometry |

Time: 3.35PM |

Location: 201 |

In this talk I will introduce some the basic concepts in the study of the qualitative theory of dynamical systems. After that I will move into the setting of discrete dynamical system ... More |

Feb 22 |

Xiping Zhang (FSU) |

Characteristic classes and Geometry Invariants of projective varieties II |

Algebra seminar |

Time: 3:35pm |

Location: 104 Love |

In this talk I will give a brief summary of the relation between some interesting characteristic classes and geometry invariants for projective varieties. |

Feb 20 |

Ben Prather (FSU Math) |

The Cauchy Integral Formula on the Octonions |

Topology and Geometry |

Time: 3.35PM |

Location: 201 |

We will review the octonion algebra, including how to use it to define a parallelization of S^7. We will then proceed to show that an octonion valued function as a point can be recovered by an integra... More |

Feb 15 |

Xiping Zhang (FSU) |

Characteristic classes and Geometry Invariants of projective varieties |

Algebra seminar |

Time: 3:35pm |

Location: 104 Love |

In this talk I will give a brief summary of the relation between some interesting characteristic classes and geometry invariants for projective varieties. |

Feb 13 |

Jakob Moeller-Andersen (FSU) |

The Motion of a Flag |

Topology and Geometry |

Time: 3.35PM |

Location: 201 |

We derive new equations for the idealized motion of a flag on a pole in 3-space, viewed as an unstretchable piece of fabric with no friction and ignoring self-collisions. Geometrically the flag repres... More |

Feb 8 |

Michael Niemeier (FSU) |

Simplicial Principal Fibrations II |

Algebra seminar |

Time: 3:35pm |

Location: 104 Love |

One way to define a central extension of simplicial groups is by saying it a short exact sequence of simplicial groups so that level-wise it is a central extension of groups. From this definition we w... More |

Feb 1 |

Michael Niemeier (FSU) |

Simplicial Principal Fibrations |

Algebra seminar |

Time: 3:35pm |

Location: 104 Love |

One way to define a central extension of simplicial groups is by saying it a short exact sequence of simplicial groups so that level-wise it is a central extension of groups. From this definition we w... More |

Jan 25 |

Ivan Martino (Northeastern University) |

Algebraic Structures related to Matroid Theory |

Algebra seminar |

Time: 3:35pm |

Location: 104 Love |

In this talk I will describe certain algebraic structures related to Matroid Theory. After defining a matroid over a ring, I will focus on matroids over a field k and matroids over the integers... More |

Jan 18 |

(FSU) |

Organizational Meeting |

Algebra seminar |

Time: 3:35pm |

Location: 104 Love |