@inbook {IOPORT.05971212, author = {Khot, Subhash}, title = {Inapproximability of NP-complete problems, discrete Fourier analysis, and geometry.}, year = {2011}, booktitle = {Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. IV: Invited lectures}, isbn = {978-981-4324-34-2}, pages = {2676-2697}, publisher = {Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency}, abstract = {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.}, identifier = {05971212}, }