Penn Arts & Sciences Logo

Galois Seminar

Friday, April 12, 2019 - 2:30pm

Adam Topaz

University of Alberta


University of Pennsylvania

DRL 4N30

Note the special time. Tea will be served in the math department lounge at 3.30pm.

This talk will present some recent work which shows that the
function field of a higher-dimensional variety is determined, up-to
isomorphism, from its l-adic cohomology ring, when it is endowed
with the Galois action of a "sufficiently global" base field. A key step
in this result, which may be of independent interest, is the explicit
determination of the divisorial vauations of the function field in
question, and the cohomology of their residue fields, using the
given Galois-theoretical information.