Class groups and Galois representations
Tuesday January 29, 2008
09:30AM - 10:30AM
Speakers:
Kenneth Ribet
Abstract:
When I arrived in Berkeley, the New Institute was a topic of active conversation and intense planning, but it was not yet open for business.
Soon after I began working in this town, the MSRI opened its doors at the west edge of the campus, and we all watched the construction as it progressed on the hill. For this anniversary celebration, I will revisit the subject of my first mathematical lecture on Berkeley, which concerned the construction of unramified extensions of cyclotomic fields through modular forms and Galois representations. The technique that I exposed in that lecture is currently being applied in new contexts (Skinner-- Urban,Dasgupta,..).
Meanwhile, the theorem that I announced at the time was proved later on
(c.~1988) in a completely different manner by techniques of Thaine, Kolyvagin and~Rubin.
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