Arkhipov, SBezrukavnikov, RBraverman, AGaitsgory, DMirkovic, I2024-04-262024-04-262005-01https://hdl.handle.net/20.500.14394/34222<p>This is the pre-published version harvested from ArXiv. The published version is located at <a href="http://www.springerlink.com/content/6kt25115084248t0/">http://www.springerlink.com/content/6kt25115084248t0/</a></p>We develop a theory of perverse sheaves on the semi-infinite flag manifold G((t))/N((t)) · T[[t]], and show that the subcategory of Iwahori-monodromy perverse sheaves is equivalent to the regular block of the category of representations of the small quantum group at an even root of unity.Physical Sciences and Mathematicsarticle