Modular Jacobians and degenerate p-adic geometry

PIMS CRG in Explicit Methods for Abelian Varieties

授课人:Jan Vonk

机构:Pacific Institute for the Mathematical Sciences(PIMS)

关键词: Scientific;    Mathematics;    p-Adic analogues of triangulations of Riemann surfaces;    Applied Mathematics;   

加拿大|英语

【 摘 要 】

p-Adic analogues of triangulations of Riemann surfaces give us a very concrete way of understanding degenerate parts of modular Jacobians. In this talk, I will discuss how this yields a flexible way to understand the action of Hecke operators on modular curves, and functoriality of canonical integral "hidden" structures on de Rham cohomology. Finally, I will discuss progress on a strategy for defining p-adic L-functions of special modular forms via such degenerate techniques, proposed by Schneider.

【 授权许可】

CC BY-NC-ND   
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