### Seminars for Pure Mathematics

**Spring 2020**

Apr 23 |

Mark van Hoeij (Florida State University) |

How to define the natural numbers |

Algebra and Its Applications |

Time: 3:35pm |

Location: This will be an online seminar |

Lets construct the natural numbers: N = {0, 1, 2, 3, 4, ...} The dots mean "and so on”. But what does “and so on” mean? It means this: * I gave some examples.* Constructin... More |

Apr 16 |

Shayea Aldossari (Florida State University) |

CANCELED |

Algebra and Its Applications |

Time: 3:35pm |

Location: LOV 104 |

CANCELED |

Apr 9 |

Lydia Eldredge (Florida State University) |

CANCELED |

Algebra and Its Applications |

Time: 3:35pm |

Location: LOV 104 |

CANCELED |

Apr 2 |

Yi Zhou (Florida State University) |

CANCELLED |

Algebra and Its Applications |

Time: |

No location for this even specified. |

CANCELLED |

Mar 26 |

Grayson Jorgenson (Florida State University) |

Secant indices of projective varieties |

Algebra and Its Applications |

Time: 3:35pm |

Location: fsu.zoom.us/j/248086872 |

To each subvariety of projective space we associate an integer sequence that records the maximal cardinalities of its intersections with linear subvarieties. We call this the sequence of secant indice... More |

Mar 12 |

Benjamin Prather (Florida State University) |

Quasialgebra structure of the octonions |

Algebra and Its Applications |

Time: 3:35pm |

Location: LOV 104 |

I plan to discuss topics from the 1998 paper "Quasialgebra structure of the octonions" by H. Albuquerque, S. Majid. |

Mar 5 |

Tyler Foster (Florida State University) |

Witt vectors and factorization statistics |

Algebra and Its Applications |

Time: 3:35pm |

Location: LOV 104 |

Feb 24 |

Rizwanur Khan (The University of Mississippi) |

Non-vanishing of Dirichlet L-functions |

Algebra and Its Applications |

Time: 3:35 PM |

Location: LOV 201 |

L-functions are fundamental objects in number theory. At the central point s = 1/2, an L-function L(s) is expected to vanish only if there is some deep arithmetic reason for it to do so (such as in th... More |

Feb 20 |

Amod Agashe (Florida State University) |

The modular number, congruence number, and multiplicity one |

Algebra and Its Applications |

Time: 3:35pm |

Location: LOV 104 |

The modular number and congruence number are certain invariants associated to modular abelian varieties (e.g., elliptic curves), and in joint work with K. Ribet, we proved a relation between them. Mul... More |

Feb 13 |

Amod Agashe (Florida State University) |

The modular number, congruence number, and multiplicity one |

Algebra and Its Applications |

Time: 3:35pm |

Location: LOV 104 |

The modular number and congruence number are certain invariants associated to modular abelian varieties (e.g., elliptic curves), and in joint work with K. Ribet, we proved a relation between them. Mul... More |

Feb 6 |

Dave Massey (Northeastern) |

Lê Cycles, Jacobian Blow-Ups, and Segre Classes |

Algebra and Its Applications |

Time: 3:35pm |

Location: LOV 104 |

Having defined the Lê cycles in the previous talk, I will explain how they are related to the exceptional divisor of the blow-up of the jacobian ideal. This will enable us to see that the sum of the ... More |

Jan 30 |

Dave Massey (Northeastern) |

Lê Cycles and the local topology of Complex Hypersurfaces |

Algebra and Its Applications |

Time: 3:35pm |

Location: LOV 104 |

I will recall the definition of the Milnor fibration of a complex hypersurface, define the Lê cycles and Lê numbers of a hypersurface with arbitrary singularities, and give several examples. Then I ... More |

Jan 23 |

Paolo Aluffi (Florida State University) |

Generalities on proper intersections and blow-ups |

Algebra and Its Applications |

Time: 3:35pm |

Location: LOV 104 |

Prof. David Massey will visit the department for two weeks, and give talks in our seminar. My talk will review several notions from algebraic geometry which will be assumed as background in Massey’s... More |