derived category
alexander grothendieck
['robert luther', 'clyde tombaugh', 'william rowan hamilton', 'eric elst', 'carl wirtanen', 'bickley', 'paolo maffei', 'lee de forest', 'sergey belyavsky', 'donald knuth', 'fabian gottlieb von bellingshausen', 'sir nigel gresley', 'nicolas bourriaud', 'carlos torres', 'brouwer', 'kin endate', 'tsutomu seki', 'eugene shoemaker', 'carolyn shoemaker', 'ward cunningham', 'odin', 'liisi oterma', 'loneos', 'hyperboloid', 'blackberry', 'marie curie', 'sir arthur evans', 'pieter zeeman', 'michael brown', 'maurice martenot', 'lord rayleigh', 'sequoyah', 'henri cartan', 'ernst mayr', 'gotthold ephraim lessing', 'joseph priestley', 'max wolf', 'william hyde wollaston', 'hermann goldschmidt', 'george westinghouse', 'julian huxley', 'carl auer von welsbach', 'lewis swift', 'heinrich schenker', 'icao', 'charles messier', 'john grinder', 'rudolf diesel', 'august derleth', 'toshimasa furuta', 'christopher alexander', 'chad trujillo', 'miguel itzigsohn', 'arnold schoenberg', 'ernest hemingway', 'gerry anderson', 'takashi murakami', 'george berkeley', 'robert bunsen', 'moog', 'christopher latham sholes', 'humphry davy', 'kant', 'malcolm mackerras', 'gridshell', 'marija gimbutas', 'claude chappe', 'carl friedrich gauss', 'sylvain arend', 'karl reinmuth', 'harold urey', 'harlow shapley', 'henry bessemer', 'edwin mcmillan', 'kazuro watanabe', 'edwin hubble', 'urbain le verrier', 'thomas newcomen', 'conway', 'mikhail lazarev', 'frederick scott archer', 'roger penrose', 'lyudmila chernykh', 'harry edwin wood', 'kirchhoff', 'linear', 'leibniz', 'mike brown', 'niels bohr', 'edward said', 'schelte bus', 'michael faraday', 'charles darwin', 'isaac newton', 'noam chomsky', 'gustav rose', 'nikolai chernykh', 'alonzo church', 'georg cantor']
D-module
In mathematics, a D-module is a module over a ring D of differential operators. The major interest of such D-modules is as an approach to the theory of linear partial differential equations. Since around 1970, D-module theory has been built up, mainly as a response to the ideas of Mikio Sato on algebraic analysis, and expanding on the work of Sato and Joseph Bernstein on the Bernstein–Sato polynomial. Early major results were the Kashiwara constructibility theorem and Kashiwara index theorem of Masaki Kashiwara. The methods of D-module theory have always been drawn from sheaf theory and other techniques with inspiration from the work of Alexander Grothendieck in algebraic geometry. The approach is global in character, and differs from the functional analysis techniques traditionally used to study differential operators. The strongest results are obtained for over-determined systems (holonomic systems), and on the characteristic variety cut out by the symbols, in the good case for which it is a Lagrangian submanifold of the cotangent bundle of maximal dimension (involutive systems). The techniques were taken up from the side of the Grothendieck school by Zoghman Mebkhout, who obtained a general, derived category version of the Riemann–Hilbert correspondence in all dimensions.