### Seminars for Pure Mathematics

Jan 18 2024 |

Organizational meeting |

Algebra seminar |

Time: 3:05 PM |

Location: LOV 0107 |

Jan 25 2024 |

Brandon Doherty (FSU) |

Cofibration category of directed graphs for path homology |

Algebra Seminar |

Time: 3:05 |

Location: LOV 0107 |

Cofibration categories are categories equipped with designated classes of morphisms, called cofibrations and weak equivalences, satisfying certain properties which allow for the convenient constructio... More |

Feb 1 2024 |

Franquiz Caraballo-Alba (FSU) |

Matroids: from Linear Independence to Hyperplane Arrangements |

Algebra Seminar |

Time: 3:05 PM |

Location: LOV 0107 |

Matroids are a combinatorial object generalizing the concept of linear independence in sets of vectors. In this talk we will develop the definition of a matroid, using the study of linearly independen... More |

Feb 8 2024 |

Franquiz Caraballo Alba (FSU) |

Chern-Schwartz-MacPherson classes |

Algebra Seminar |

Time: 3:05 pm |

Location: LOV 107 |

The Chern-Schwartz-MacPherson (csm) class of a variety X is a generalization of the Chern class of the tangent bundle of X when X is possibly singular. In this talk, we will develop the intuition behi... More |

Feb 22 2024 |

Marcus Lawson (FSU) |

Global p-Curvatures of Linear Recurrence Operators |

Algebra Seminar/Candidacy Exam |

Time: 3:05 pm |

Location: LOV 107 |

Linear Recurrence Operators appear as objects of interest in the study differential equations, number theory, QFT and a variety of other areas. One property that we may look at is the p-Curvature. If... More |

Feb 29 2024 |

Maxime Ramzi (University of Copenhagen) |

From Hochschild homology to traces and back |

Algebra Seminar |

Time: 3:05 pm |

Location: ZOOM |

Traces in symmetric monoidal categories are a generalization of the trace of a matrix, and they enjoy a number of pleasant properties reminiscent of the usual trace, such as cyclic invariance. In this... More |

Mar 7 2024 |

Brandon Story (FSU) |

Multidegrees of Monomial Cremona Transformations |

Algebra Seminar |

Time: 3:05 pm |

Location: LOV 107 |

Multidegrees are an important sequence of natural numbers associated to a rational map of projective schemes that are closely related to Segre classes. In this talk, we will discuss how one may comput... More |

Mar 21 2024 |

Chris Kapulkin (UWO) |

Calculus of fractions for higher categories |

Algebra Seminar |

Time: 3:05 pm |

Location: LOV 107 |

A central objective of (abstract) homotopy theory is to understand the localization of a category at a class of weak equivalences. While the localization is always known to exist, it is typically very... More |

Mar 28 2024 |

Paolo Aluffi (FSU) |

An explicit generating function for the Betti numbers of the moduli space of stable, n-pointed rational curves |

Algebra Seminar |

Time: 3:05 pm |

Location: LOV 107 |

The variety $\overline\mathcal M_{0,n}$ parametrizes stable rational curves with n marked points. This is a central object in algebraic geometry, as the most studied and best understood moduli<... More |

Apr 4 2024 |

Milind Gunjal (FSU) |

Introduction to Stable Homotopy Theory |

Algebra Seminar |

Time: 3:05 pm |

Location: LOV 107 |

In this talk, we will observe the phenomenon of stable homotopy groups of spheres, and we will try to generalize it for a bigger setting by defining spectra. We will also discuss some interesting prop... More |

Apr 5 2024 |

Abdullah Malik (FSU) |

Simplicial Methods in Graph Machine Learning |

PhD Defense |

Time: 1:00PM |

Location: Lov 204-A |

The Weisfeiler-Leman algorithm is a powerful test of graph isomorphism, and works by iteratively isolating clusters of nodes via a coloring scheme based on binary relationships. This refinement proces... More |

Apr 11 2024 |

Piotr Pstrągowski (Harvard) |

The even filtration |

Algebra Seminar |

Time: 3:05 pm |

Location: ZOOM |

The even filtration, introduced by Hahn-Raksit-Wilson, is a canonical filtration attached to a commutative ring spectrum which measures its failure to be even. Despite its simple definition, the even ... More |

Apr 18 2024 |

Heba Bou KaedBey (FSU) |

Solving Third Order Linear Difference Equations in Terms of Second Order Equations |

Algebra Seminar |

Time: 3:05 pm |

Location: LOV 107 |

Classifying order 3 linear difference operators over C(x) that are solvable in terms of lower order difference operators. In this talk, I will focus on one of the cases of this classification and give... More |

Apr 25 2024 |

Matthew Winters (FSU) |

Rational torsion and reducibility for abelian varieties associated to newforms |

Algebra Seminar |

Time: 3:05 pm |

Location: LOV 107 |

Let f be a newform and A its associated abelian variety. We have shown before that for certain primes r, if A is an optimal semistable elliptic curve with reducible torsion subgroup A[r], then A has r... More |