# Manchester Algebra Seminar - Beth Romano

Dates: | 28 February 2023 |
---|---|

Times: | 13:00 - 14:00 |

What is it: | Seminar |

Organiser: | Department of Mathematics |

Who is it for: | University staff, Current University students |

Speaker: Beth Romano, KCL

Title: Graded Lie algebras and families of algebraic curves

Abstract: Graded Lie algebras give a uniform approach to many questions in arithmetic statistics. Motivated by these questions, I'll give a construction of graded Lie algebras from certain Heisenberg groups. This construction has number-theoretic consequences: it can be applied to certain Mumford-theta groups to give information about families of algebraic curves. And it has nice Lie-theoretic applications: for example, it gives a way of lifting elements of Weyl groups to automorphisms of Lie algebras. I won't assume prior knowledge of graded Lie algebras or arithmetic statistics, and will give examples throughout the talk.

This is a joint seminar with number theory.

Tea and biscuits 12:45 in the foyer