Joint IAS/Princeton University Number Theory Seminar

Congruences between motives and congruences between values of $L$-functions

If two motives are congruent, is it the case that the special values of their respective $L$-functions are congruent? More precisely, can the formula predicting special values of motivic $L$-functions be interpolated in $p$-adic families of motives? I will explain how the formalism of the Weight-Monodromy filtration for $p$-adic families of Galois representations sheds light on this question (and suggests a perhaps surprising answer).

Date & Time

April 13, 2017 | 4:30pm – 5:30pm

Speakers

Olivier Fouquet

Affiliation

Université Paris-Sud

Event Series

Categories