Complexity Theory

  • Peter Bürgisser

    Technische Universität Berlin, Germany
  • Irit Dinur

    Weizmann Institute of Science, Rehovot, Israel
  • Salil Vadhan

    Harvard University, Boston, USA

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 interactive proof systems, quantum information and computation, algorithmic coding theory, arithmetic complexity, expansion of hypergraphs and simplicial complexes, Markov chain Monte Carlo, and pseudorandomness. Many of the developments are related to diverse mathematical fields such as algebraic geometry, extremal combinatorics, combinatorial number theory, probability theory, representation theory, and operator algebras.

Cite this article

Peter Bürgisser, Irit Dinur, Salil Vadhan, Complexity Theory. Oberwolfach Rep. 18 (2021), no. 4, pp. 2955–3005

DOI 10.4171/OWR/2021/54