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
Travel and Contact Information
Alan Turing Building