# Manchester Number Theory Seminar - Beth Romano

Dates: | 28 February 2023 |
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Times: | 13:00 - 14:00 |

What is it: | Seminar |

Organiser: | Department of Mathematics |

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

Joint talk with Algebra seminar - note the unusual time of 1 pm

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.

Room: Frank Adams 1