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Topological Methods in Automorphic Forms
Final rept. 1 Aug 2007-31 Jul 2010
HARVARD COLL CAMBRIDGE MA
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The work supported by this grant resulted in the solution by Michael Hill, Michael Hopkins and Doug Ravenel of the Kervaire Invariant problem. The Kervaire invariant problem was one of the longest standing open problems in algebraic topology, and its solution represents major breakthrough. The many new innovative techniques developed for this purpose are making a strong impact on the field of algebraic topology. The solution hints at a relationship between quantum field theory in dimension four and the Kervaire invariant, making an unexpected connection between this old problem and theoretical physics.
APPROVED FOR PUBLIC RELEASE