Manchester Number Theory Seminar - Giovanna De Lauri (Lancaster)
| Dates: | 13 October 2026 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Current University students |
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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
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Frank Adams 1
Alan Turing Building
Manchester
