# Mathematics Calendar

Wednesday, June 13, 2018 - 11:15

Non-vanishing of L-values has a long history in number theory: Non-vanishing statements often imply strong arithmetic statements, the most prominent example being the Prime Number Theorem, which in turn is intricately connected to the Riemann Hypothesis. Other examples outside the realm of analytic number theory include non-triviality of Euler systems, which is equivalent to the existence non-zero twisted L-values (whenever their relation to L-values is established). In this talk I will explain an algebraic approach to non-vanishing of L-values via p-adic methods.Humboldt-Universität zu Berlin, Institut für Mathematik

Rudower Chaussee 25, 12489 Berlin, R. 2.006

Forschungsseminar Algebra und Zahlentheorie

Prof. Dr. E. Große-Klönne

Non-vanishing of L-values has a long history in number theory:\\
Non-vanishing statements often imply strong arithmetic statements, the
most prominent example being the Prime Number Theorem, which in turn is
intricately connected to the Riemann Hypothesis. Other examples outside
the realm of analytic number theory include non-triviality of Euler systems,
which is equivalent to the existence non-zero twisted L-values (whenever
their relation to L-values is established).
In this talk I will explain an algebraic approach to non-vanishing of L-values
via p-adic methods.

submitted by Carmen Zyska (zyska@math.hu-berlin.de, +493020931812)