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CREATED:20240212T222657Z
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UID:3383-1714479300-1714482600@colleges.claremont.edu
SUMMARY:Negligible cohomology (Matthew Gherman\, Caltech)
DESCRIPTION:For a finite group G\, a G-module M\, and a field F\, an element u in H^d(G\,M) is negligible over F if for each field extension L/F and every continuous group homomorphism from Gal(L^{sep}/L) to G\, u is in the kernel of the induced homomorphism H^d(G\,M) to H^d(L\,M). Negligible cohomology was first introduced by Serre and has deep connections with the embedding problem\, cohomological invariants\, and the profinite inverse Galois problem. Professor Alexander Merkurjev (UCLA) and I were able to compute negligible cohomology in degree 2\, compute the mod p negligible cohomology of elementary abelian p-groups\, and determine the Krull dimension of the quotient of mod p cohomology by the ideal of negligible elements.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-matthew-gherman-cal-tech/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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