JournalsowrVol. 6 , No. 4DOI 10.4171/owr/2009/52

Complexity Theory

  • Joachim von zur Gathen

    Universität Bonn, Germany
  • Oded Goldreich

    Weizmann Institute of Science, Rehovot, Israel
  • Peter Bürgisser

    Technische Universität Berlin, Germany
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Abstract

Computational Complexity Theory is the mathematical study of the intrinsic power and limitations of computational resources like time, space, or randomness. The current workshop focused on recent developments in various sub-areas including arithmetic complexity, Boolean complexity, communication complexity, cryptography, probabilistic proof systems, pseudorandomness, and quantum computation. Many of the developements are related to diverse mathematical fields such as algebraic geometry, combinatorial number theory, probability theory, quantum mechanics, representation theory, and the theory of error-correcting codes.