Modular forms and Galois cohomology

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• Shekhar Khare (UCLA)
• Thursday 10 November 2016, 15:30-16:30
• CMS, MR5.

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Wiles work on Fermat’s Last Theorem introduced a technique to relate absolute Galois groups of number fields, more particularly their representations, and modular forms. Since then these techniques have been generalized and used to prove that many Galois representations come from moddular forms. We will give a broad introduction to these ideas and focus at the end on how they also relate to questions in Galois cohomology which are related to, and higher dimensional analogs of, a classical conjecture of Leopoldt.

This talk is part of the Special DPMMS Colloquium series.

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