Arithmetic properties of coefficients of logarithms of formal group laws
Masha Vlasenko (Institute of Mathematics of the Polish Academy of Sciences)
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When 
Nov 26, 2015 from 03:30 pm to 04:30 pm 
Where  Mainz, 05432 (Hilbertraum) 
Contact Name  van Straten 
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Abstract: We show that the coefficients of the logarithm of an integral oneparameter formal group law satisfy certain congruences modulo prime powers and that these congruences fit into a padic 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 CalabiYau hypersurfaces. In the talk we consider formal models of elliptic curves, ArtinMazur formal groups and other examples.
This is joint work with Eric Delaygue (Lyon).