Modular units and applications
Jeudi, 26 Septembre, 2024 - 10:30
Résumé :
Modular units are functions on modular curves whose divisors are supported only on cusps.
In this talk we’ll discuss how Siegel functions can be used to construct a basis for the group of modular units on $X_{1}\left( p \right)$. One of the main applications of modular units is the study of the cuspidal group - the subgroup of the Jacobian generated by the cusps. We’ll discuss how our modular units are used in the study of the cuspidal group of $X_{1}\left( p \right)$ and more generally the rational torsion subgroup of the Jacobian.
Institution de l'orateur :
UCL
Thème de recherche :
Théorie des nombres
Salle :
4