p-adic interpolation of central critical values of GL_n-automorphic L-functions in ring class towers

Jeanine van Order
Universität Bielefeld

Date(s) : 16/12/2021   iCal
14 h 00 min - 15 h 00 min

Let K/F be a CM field, n \geq 2 an even integer, and \pi a cohomological automorphic representation of GL_n(\A_K). I will outline two constructions of p-adic interpolation series for the “algebraic parts” of the standard L-function of \pi twisted by ring class characters factoring through anticyclotomic characters in the ordinary setting, along with some arithmetic applications (and new directions).





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