Manchester Number Theory Seminar - Giovanna De Lauri (Lancaster)

About

Speaker: Giovanna De Lauri (Lancaster) Title: On some even Ternary Lattices of half-discriminant N^2 and 4N^2 Abstract: During my PhD, I have been considering Hecke modules of Orthogonal modular forms attached to positive-definite ternary lattices of half-discriminant of the form N^2 and 4N^2, with N odd and square-free. This has given explicit instances of the Jacquet-Langlands correspondence with spaces of classical modular forms. In this talk, we will concentrate on the case of even lattices. We will start with the ones of half-discriminant p^2, for both p=2 and p being an odd prime. With the aid of examples and the exploration of the local structure of the lattices considered, we will then move towards the half-discriminant cases of N^2 and 4N^2, with N odd and square-free. We will finally provide a state-of-the-art overview of my current research which also features the odd lattices for the half-discriminants considered. Room: Frank Adams 1, Alan Turing Building