id: 05971212 dt: a an: 05971212 au: Khot, Subhash ti: Inapproximability of NP-complete problems, discrete Fourier analysis, and geometry. so: Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19‒27, 2010. Vol. IV: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-34-2/hbk; 978-81-85931-08-3/hbk; 978-981-4324-31-1/set; 978-981-4324-35-9/ebook). 2676-2697 (2011). py: 2011 pu: Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency la: EN cc: ut: NP-completeness; approximation algorithms; inapproximability; probabilistically checkable proofs; discrete Fourier analysis ci: li: http://ebooks.worldscinet.com/ISBN/9789814324359/9789814324359_0163.html ab: Summary: This article gives a survey of recent results that connect three areas in computer science and mathematics: (1) (Hardness of) computing approximate solutions to NP-complete problems. (2) Fourier analysis of boolean functions on boolean hypercube. (3) Certain problems in geometry, especially related to isoperimetry and embeddings between metric spaces. rv: