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Oberwolfach Reports

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Volume 15, Issue 4, 2018, pp. 3025–3080
DOI: 10.4171/OWR/2018/51

Published online: 2019-12-16

Complexity Theory

Peter Bürgisser[1], Irit Dinur[2], Oded Goldreich[3] and Salil Vadhan[4]

(1) Technische Universität Berlin, Germany
(2) Weizmann Institute of Science, Rehovot, Israel
(3) Weizmann Institute of Science, Rehovot, Israel
(4) Harvard University, Cambridge, USA

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 developments are related to diverse mathematical fields such as algebraic geometry, combinatorial number theory, probability theory, representation theory, and the theory of error-correcting codes.

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Bürgisser Peter, Dinur Irit, Goldreich Oded, Vadhan Salil: Complexity Theory. Oberwolfach Rep. 15 (2018), 3025-3080. doi: 10.4171/OWR/2018/51