Pure Maths Colloquium: Trivial zeros of p-adic L-functions
7 November 2016 16:00 in CM221
p-adic L-functions of modular forms play a central role in Number Theory. In the first part of this talk I will give an overview of the construction of the p-adic analogues of L-functions which interpolate special values of complex L-functions at integer points. In the second part of the talk I will discuss the phenomenon of trivial zeros which appears when the interpolation factor vanishes by some ”trivial reason”. The study of this phenomenon is closely related to p-adic Hodge theory.
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