Cohomology of intermediate quotients

Abstract: We will discuss Galois cohomology groups of “intermediate” quotients of an induced module, which sit between Iwasawa cohomology up a tower and cohomology over the ground field. Special elements in Iwasawa cohomology that arise from Euler systems become divisible by a certain Euler factor upon norming down to the ground field. In certain instances, there are reasons to wonder whether this divisibility can also hold for the image in intermediate cohomology. Using “intermediate” Coleman maps, we shall see that the situation locally at $p$ is as nice as one could imagine.

number theory

Audience: researchers in the discipline

( paper )

Comments: pre-talk at 1:20pm

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UCSD number theory seminar

Series comments: Most talks are preceded by a pre-talk for graduate students and postdocs. The pre-talks start 40 minutes prior to the posted time (usually at 1:20pm Pacific) and last about 30 minutes.

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