Hélène Esnault, Universität Essen
The determinant of the Gauss-Manin connection
In the talk, I will try to present some aspects of how to
compute the determinant of the Gauss-Manin connection, following the work
I have been developing jointly with Spencer Bloch, and lately with Spencer
Bloch and Alexander Beilinson.
The Gauss-Manin connection codes how the cohomology of differential
equations, for example on the z-affine line of the type
d(a(t)z2+b(t)z),
moves with the parameter t, just as the cohomology of the Artin-Schreier
covering yp-y=az2+bz of
the affine z-line is acted on by the Frobenius of the finite field
of characteristic p containing the parameters a, b.