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Arithmetic properties of coefficients of logarithms of formal group laws

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Masha Vlasenko (Institute of Mathematics of the Polish Academy of Sciences)

What
  • SFB-Kolloquium
When Nov 26, 2015
from 03:30 pm to 04:30 pm
Where Mainz, 05-432 (Hilbertraum)
Contact Name van Straten
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Abstract: We show that the coefficients of the logarithm of an integral one-parameter formal group law satisfy certain congruences modulo prime powers and that these congruences fit into a p-adic analytic formula for the characteristic polynomial of the reduction of the group law modulo p. Congruences of this kind were discovered recently in the study of periods of Calabi-Yau hypersurfaces. In the talk we consider formal models of elliptic curves, Artin-Mazur formal groups and other examples.

 

This is joint work with Eric Delaygue (Lyon).