Manchester Number Theory Seminar - Elvira Lupoian
| Dates: | 24 February 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: Elvira Lupoian (UCL)
Title: Torsion subgroups of modular Jacobians
Abstract: In 1977 Mazur proved that the rational torsion subgroup of the Jacobian of the modular curve X_0( N), N > 5 prime, is generated by the linear equivalence class of the difference of the two cusps. More generally, it is conjectured that for a general N, the rational torsion subgroup of the Jacobian of X_0( N) is generated by cusps. In this talk, we'll discuss a generalisation of this to other modular curves, namely certain covers of X_0( N), indexed by subgroups of (Z/NZ)^*.
Room: Frank Adams 1
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Frank Adams 1
Alan Turing Building
Manchester
