### Seminars for Pure Mathematics

**Spring 2022**

Jan 27 |

Tao Song (University of Pennsylvania) |

Sustained p-divisible groups and the strong rigidity conjecture |

Algebra |

Time: 3:05 |

Location: Zoom |

When we look at the moduli space of abelian varieties, some 'linear spaces' naturally pop up. A classical example is the Serre-Tate coordinates, which says that the local deformation space of an ordin... More |

Feb 3 |

Mark van Hoeij (FSU) |

Recurrence relations and the Lindemann–Weierstrass theorem |

Algebra seminar |

Time: 3:05 |

Location: LOV 301 |

In this talk I'll present a method to obtain irrationality results using recurrence relations, and use it to derive the Lindemann-Weierstrass theorem. The approach is motivated by Apery's proof of th... More |

Feb 3 |

Mark van Hoeij (FSU) |

Recurrence relations and the Lindemann–Weierstrass theorem |

Algebra seminar |

Time: 3:05 |

Location: LOV 301 |

In this talk I'll present a method to obtain irrationality results using recurrence relations, and use it to derive the Lindemann-Weierstrass theorem. The approach is motivated by Apery's proof of th... More |

Feb 15 |

Matthew Winters (FSU) |

Torsion in Modular Abelian Varieties |

Candidacy exam |

Time: 3:05pm |

Location: Zoom |

Elliptic curves appear in many areas of mathematics, and abelian varieties can be viewed as higher dimensional analogues of elliptic curves. This talk discusses possible generalizations of results on ... More |

Feb 24 |

Man Cheung Tsui (FSU) |

Hilbert’s irreducibility theorem |

Algebra Seminar |

Time: 3:05 |

Location: LOV 301 |

This is an expository talk on Hilbert’s irreducibility theorem and the inverse Galois problem following Chapter 8 of Lang, Diophantine Geometry. |

Mar 10 |

Mark van Hoeij (FSU) |

The Riemann Existence Theorem, and applications to the Inverse Galois Problem. |

algebra seminar |

Time: 3:05 |

Location: LOV 301 |

This talk will start with the Riemann Existence Theorem. We will show how it implies that for any finite group G, there exist number fields K and F with Gal(K/F) = G. Next we will discuss the issues o... More |

Mar 24 |

Niles Johnson (Ohio State) |

Graded Picard categories and the 2-type of the sphere |

Algebra seminar |

Time: 3:05 |

Location: LOV 301 |

The Stable Homotopy Hypothesis connects symmetric monoidal algebra and stable homotopy theory. In a classical special case, the tensor product of graded abelian groups leads to a model for the 1-dimen... More |

Mar 31 |

Brandon Story (FSU) |

Motives of Melonic Graphs |

Algebra Seminar |

Time: 3:05 |

Location: LOV 301 |

This talk is based on the paper: Motives of Melonic Graphs, by Aluffi, Marcolli and Qaisar. |

Apr 7 |

Salash Nabaala (FSU) |

Non-commutative Geometry |

Algebra Seminar |

Time: 3:05 |

Location: LOV 301 |

The topic of this talk will be non-commutative geometry. Specifically, the categorical approach taken to realize certain abelian categories as "spaces". As an instance, the category of commutative r... More |

Apr 8 |

Yi Zhou (FSU) |

Algorithms for Factoring Linear Recurrence Operators |

Time: 1:00 |

Location: Zoom |

In this thesis we develop a few algorithms that are useful for factoring linear recurrence operators. We approach the factorization problem from three directions. First, considering reduction modulo a... More |

Apr 14 |

Franquiz Arturo Caraballo Alba (FSU) |

The First non-trivial Coefficient of the APP of a Smooth Hypersurface in P^3 |

Algebra Seminar |

Time: 3:05 |

Location: LOV 301 |

The Adjusted Predegree Polynomial (APP) is an algebraic invariant of hypersurfaces in n-dimensional projective space that encodes information about the closure of their orbit under the action of PGL(n... More |

Apr 21 |

Milind Gunjal (FSU) |

Stabilization of 2-Crossed Modules |

Algebra Seminar |

Time: 3:05 |

Location: LOV 301 |

The goal of this talk is to stabilize 2-Crossed modules by putting a symmetric monoidal 2-category structure on them. We will also see outputs of the K-theory of Waldhausen categories in terms of corr... More |