Number Theory Seminar

We discuss the construction of an Euler system for the triple product, the p-adic Galois representation $V = V_1 x V_2 x V_3$, where $V_1,V_2,V_3$ are the 2-dimensional representations attached to cuspforms $f_1,f_2,f_3$. Applications include new...

The Ax-Lindemann theorem is a transcendence result for period maps of global Shimura varieties, which loosely can be stated by saying that the only algebraic relations on period images of a subvarieties of a Shimura variety are those determined by...