Topological Methods in Automorphic Forms

Abstract

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.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 10, 2011
Accession Number
ADA566964

Entities

People

  • Michael J. Hopkins

Organizations

  • Harvard College

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Algebraic Geometry
  • Algebraic Topology
  • Computations
  • Differential Topology
  • Electronic Mail
  • Geometry
  • Lie Groups
  • Mathematics
  • Physics
  • Quantum Field Theory
  • Sequences
  • Students
  • Topology
  • United States
  • Universities

Readers

  • Graph Algorithms and Convex Optimization.
  • Metallurgy
  • Research Science/Academic Research

Technology Areas

  • Quantum Computing