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Vladimir Drinfeld

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1373: 1383: 504:. However, this condition is purely arithmetic and cannot be considered for a general one-dimensional function field in a straightforward way. Drinfeld pointed out that instead of automorphic forms one can consider automorphic 2126: 418: 488:). Later, in 1983, Drinfeld published a short article that expanded the scope of the Langlands conjectures. The Langlands conjectures, when published in 1967, could be seen as a sort of 2121: 42: 450: 2106: 2116: 484:
of positive characteristic. In the course of proving the conjectures, Drinfeld introduced a new class of objects that he called "elliptic modules" (now known as
2061: 2056: 1419: 824: 881: 128: 2066: 796: 2111: 715: 590: 562:, which is a necessary condition for the solvability of statistical mechanical models. He also generalized Hopf algebras to 162: 104: 849: 394: 187: 71: 512:. "Automorphicity" of these modules and the Langlands correspondence could be then understood in terms of the action of 1412: 406: 327: 157: 758: 351: 120: 2101: 442: 726: 689: 2091: 1891: 1028: 874: 489: 1405: 1349: 840: 2081: 1826: 695: 635: 575: 366: 178: 140: 2131: 598: 1686: 1670: 1018: 814:(vol 10, 3–4, December 2005, Birkhäuser) on occasion of Vladimir Drinfeld's 50th birthday, pp 277–278, 737: 620: 136: 2086: 2071: 1376: 867: 615: 370: 211: 116: 1505: 801: 559: 96: 17: 791: 196: 2096: 1923: 1764: 430: 86: 663: 124: 2076: 1170: 1001: 493: 174: 1627: 1263: 532: 470: 458: 434: 300: 244: 2051: 1646: 845: 610: 601:. Drinfeld and Beilinson published their work in 2004 in a book titled "Chiral Algebras." 520: 474: 339: 112: 8: 1989: 1927: 1700: 1597: 787: 582: 1999: 1726: 1696: 1549: 1491: 1386: 1339: 1258: 1219: 1202: 1165: 563: 555: 438: 307: 272: 170: 1802: 1967: 1865: 1730: 1712: 1603: 1535: 1509: 1382: 1300: 1268: 1214: 1187: 1067: 945: 764: 754: 640: 343: 192: 132: 1273: 974: 1983: 1933: 1887: 1790: 1744: 1716: 1676: 1664: 1621: 1607: 1354: 1327: 1236: 1197: 1121: 1094: 1072: 1033: 1023: 940: 923: 815: 505: 497: 319: 280: 251: 417:, and won a gold medal with the full score of 40 points. He was, at the time, the 2013: 1977: 1911: 1907: 1897: 1842: 1740: 1736: 1690: 1587: 1581: 1575: 1543: 1515: 1479: 1473: 1459: 1317: 1290: 1246: 1231: 1111: 1045: 854: 807: 586: 513: 485: 422: 323: 182: 148: 108: 2023: 1955: 1945: 1901: 1846: 1832: 1822: 1806: 1780: 1760: 1750: 1617: 1613: 1593: 1529: 1449: 1312: 1192: 1143: 1099: 1077: 1062: 991: 630: 567: 539: 144: 819: 2045: 1993: 1971: 1961: 1951: 1917: 1877: 1720: 1650: 1555: 1525: 1499: 1467: 1322: 1295: 1175: 1160: 1148: 1138: 1116: 1050: 1006: 911: 625: 594: 547: 543: 524: 492:. It postulated the existence of a natural one-to-one correspondence between 454: 331: 315: 292: 256: 166: 152: 836: 768: 574:
corresponding to the solution of the Yang–Baxter equation associated with a
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in the same year and graduated from it in 1974. Drinfeld was awarded the
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in a coordinate-free form, which have become increasingly important to
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Corresponding members of the National Academy of Sciences of Ukraine
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National Academy of Sciences Members and Foreign Associates Elected
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In 1974, at the age of twenty, Drinfeld announced a proof of the
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in 1954. In 1969, at the age of 15, Drinfeld represented the
453:(Department of Mathematical Physics). Drinfeld moved to the 451:
Verkin Institute for Low Temperature Physics and Engineering
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Members of the United States National Academy of Sciences
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at the same time) and made important contributions to
287:; born February 14, 1954), surname also romanized as 753:. Providence, R.I.: American Mathematical Society. 785: 749:Beilinson, Alexander; Drinfeld, Vladimir (2004). 748: 2107:International Mathematical Olympiad participants 2043: 464: 419:youngest participant to achieve a perfect score 2117:Institute for Advanced Study visiting scholars 694:, News from the National Academy of Sciences, 449:in 1990. From 1981 till 1999 he worked at the 1413: 875: 538:, a result that was proved independently by 1420: 1406: 882: 868: 558:, and connected them to the study of the 1427: 365:in 1990. In 2016, he was elected to the 797:MacTutor History of Mathematics Archive 14: 2044: 591:two-dimensional conformal field theory 330:. Drinfeld introduced the notion of a 2062:21st-century Ukrainian mathematicians 2057:20th-century Ukrainian mathematicians 1401: 863: 570:, which can be used to factorize the 889: 581:Drinfeld has also collaborated with 523:. In collaboration with his advisor 457:in 1999 and has been working at the 850:International Mathematical Olympiad 810:, Preface to the special volume of 188:Quasi-triangular quasi-Hopf algebra 24: 662:O'Connor, J. J.; Robertson, E. F. 407:International Mathematics Olympiad 328:geometric Langlands correspondence 158:Geometric Langlands correspondence 40: 25: 2143: 830: 716:Jerusalem Post - Wolf Prizes 2018 352:quantum inverse scattering method 1381: 1372: 1371: 664:"Vladimir Gershonovich Drinfeld" 443:Steklov Institute of Mathematics 285:Влади́мир Ге́ршонович Дри́нфельд 277:Володи́мир Ге́ршонович Дрінфельд 129:Drinfeld–Sokolov–Wilson equation 2067:Moscow State University alumni 738:Vladimir Gershonovich Drinfeld 731: 720: 709: 682: 655: 490:non-abelian class field theory 269:Vladimir Gershonovich Drinfeld 163:Grothendieck–Teichmüller group 13: 1: 2112:University of Chicago faculty 841:Mathematics Genealogy Project 779: 373:. In 2023 he was awarded the 350:, algebraic formalism of the 334:(independently discovered by 696:National Academy of Sciences 636:Quasitriangular Hopf algebra 576:quasitriangular Hopf algebra 566:and introduced the study of 546:. Drinfeld coined the term " 519:Drinfeld has also worked in 465:Contributions to mathematics 445:in 1988. He was awarded the 380: 367:National Academy of Sciences 179:Quantized enveloping algebra 7: 846:Vladimir Drinfeld's results 604: 599:geometric Langlands program 318:, especially the theory of 10: 2148: 855:Langlands Seminar homepage 377:in Mathematical Sciences. 369:. In 2018 he received the 306:Drinfeld's work connected 125:Drinfeld–Sokolov reduction 1856: 1637: 1436: 1367: 897: 820:10.1007/s00031-005-0400-6 616:Drinfeld upper half plane 585:to rebuild the theory of 554:that are deformations of 385:Drinfeld was born into a 371:Wolf Prize in Mathematics 322:, through the notions of 284: 276: 262: 250: 240: 230: 223: 202: 117:Drinfeld upper half plane 92: 82: 50: 39: 32: 802:University of St Andrews 648: 389:mathematical family, in 141:Yetter–Drinfeld category 105:Drinfeld level structure 2102:Scientists from Kharkiv 1924:Demetrios Christodoulou 1765:Everett Peter Greenberg 437:degree in 1978 and the 431:Moscow State University 87:Moscow State University 621:Manin–Drinfeld theorem 494:Galois representations 326:and the theory of the 175:Quantum affine algebra 137:Manin–Drinfeld theorem 45: 2092:Soviet mathematicians 1628:Shrinivas R. Kulkarni 812:Transformation Groups 527:, he constructed the 471:Langlands conjectures 459:University of Chicago 435:Candidate of Sciences 301:University of Chicago 245:University of Chicago 44: 1687:Keith H. S. Campbell 1647:Stanley Norman Cohen 788:Robertson, Edmund F. 611:Drinfeld reciprocity 560:Yang–Baxter equation 521:mathematical physics 461:since January 1999. 340:mathematical physics 113:Drinfeld reciprocity 2082:Algebraic geometers 1990:Alexander Beilinson 1928:Richard S. Hamilton 1598:Chryssa Kouveliotou 792:"Vladimir Drinfeld" 786:O'Connor, John J.; 583:Alexander Beilinson 564:quasi-Hopf algebras 556:simple Lie algebras 429:. Drinfeld entered 361:He was awarded the 2132:Russian scientists 2000:Jean-Michel Bismut 1727:Franz-Ulrich Hartl 1550:William J. Borucki 1387:Mathematics portal 550:" in reference to 439:Doctor of Sciences 308:algebraic geometry 46: 2039: 2038: 2020:Vladimir Drinfeld 1866:Shiing-Shen Chern 1823:Paul A. Negulescu 1731:Arthur L. Horwich 1604:Lennart Lindegren 1536:Daniel Eisenstein 1395: 1394: 837:Vladimir Drinfeld 641:Ruziewicz problem 498:automorphic forms 344:ADHM construction 320:automorphic forms 266: 265: 225:Scientific career 193:Ruziewicz problem 133:ADHM construction 61:February 14, 1954 34:Vladimir Drinfeld 16:(Redirected from 2139: 2087:Number theorists 2072:Fields Medalists 1984:Michel Talagrand 1934:Maxim Kontsevich 1888:Robert Langlands 1827:Michael J. Welsh 1791:Mary-Claire King 1745:Michael W. Young 1717:Ruslan Medzhitov 1701:Jeffrey Friedman 1677:Robert Lefkowitz 1665:Michael Berridge 1622:Maura McLaughlin 1608:Michael Perryman 1422: 1415: 1408: 1399: 1398: 1385: 1375: 1374: 891:Fields Medalists 884: 877: 870: 861: 860: 804: 773: 772: 746: 740: 735: 729: 724: 718: 713: 707: 705: 704: 703: 686: 680: 679: 677: 675: 659: 506:perverse sheaves 486:Drinfeld modules 441:degree from the 342:, including the 295:from the former 286: 278: 252:Doctoral advisor 190: 160: 64: 60: 58: 30: 29: 21: 2147: 2146: 2142: 2141: 2140: 2138: 2137: 2136: 2042: 2041: 2040: 2035: 2014:Ehud Hrushovski 1978:Luis Caffarelli 1912:Clifford Taubes 1908:Simon Donaldson 1898:Vladimir Arnold 1858: 1852: 1843:Stuart H. Orkin 1803:Gero Miesenböck 1741:Michael Rosbash 1737:Jeffrey C. Hall 1697:Douglas Coleman 1691:Shinya Yamanaka 1639: 1633: 1588:Roger Blandford 1582:Edward C. Stone 1576:Jean-Loup Puget 1544:John A. Peacock 1516:David C. Jewitt 1492:Charles Bennett 1480:Reinhard Genzel 1474:Peter Goldreich 1460:Saul Perlmutter 1432: 1426: 1396: 1391: 1363: 1362: 1359: 1332: 1305: 1278: 1251: 1224: 1207: 1180: 1153: 1126: 1104: 1082: 1055: 1038: 1011: 984: 967: 950: 933: 916: 893: 888: 833: 825:Report by Manin 808:Victor Ginzburg 782: 777: 776: 761: 751:Chiral Algebras 747: 743: 736: 732: 727:Shaw Prize 2023 725: 721: 714: 710: 701: 699: 688: 687: 683: 673: 671: 660: 656: 651: 607: 587:vertex algebras 568:Drinfeld twists 514:Hecke operators 508:or automorphic 478: 467: 423:Sergei Konyagin 383: 324:elliptic module 215: 210: 195: 191: 186: 185: 183:Quasi-bialgebra 181: 177: 173: 169: 165: 161: 156: 155: 151: 149:Chiral homology 147: 143: 139: 135: 131: 127: 123: 119: 115: 111: 109:Drinfeld module 107: 103: 101:Drinfeld double 99: 97:Drinfeld center 83:Alma mater 78: 65: 62: 56: 54: 35: 28: 23: 22: 15: 12: 11: 5: 2145: 2135: 2134: 2129: 2124: 2119: 2114: 2109: 2104: 2099: 2097:Ukrainian Jews 2094: 2089: 2084: 2079: 2074: 2069: 2064: 2059: 2054: 2037: 2036: 2034: 2033: 2027: 2024:Shing-Tung Yau 2017: 2007: 1997: 1987: 1981: 1975: 1965: 1959: 1956:Henryk Iwaniec 1949: 1946:George Lusztig 1943: 1937: 1931: 1921: 1915: 1905: 1902:Ludwig Faddeev 1895: 1892:Richard Taylor 1885: 1875: 1869: 1862: 1860: 1854: 1853: 1851: 1850: 1847:Swee Lay Thein 1840: 1833:Patrick Cramer 1830: 1820: 1814: 1807:Peter Hegemann 1800: 1794: 1788: 1781:Ian R. 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Emr 1755:Peter Walter 1707:David Julius 1659:Richard Doll 1655:Yuet-Wai Kan 1640:and medicine 1638:Life science 1564:Rainer Weiss 1506:Enrico Costa 1454:Michel Mayor 1133: 1002:Grothendieck 811: 795: 750: 744: 733: 722: 711: 700:, retrieved 690: 684: 672:. 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Index

Drinfeld

Kharkov
Ukrainian SSR
Soviet Union
Moscow State University
Drinfeld center
Drinfeld double
Drinfeld level structure
Drinfeld module
Drinfeld reciprocity
Drinfeld upper half plane
Drinfeld twist
Drinfeld–Sokolov reduction
Drinfeld–Sokolov–Wilson equation
ADHM construction
Manin–Drinfeld theorem
Yetter–Drinfeld category
Chiral algebra
Chiral homology
Quantum groups
Geometric Langlands correspondence
Grothendieck–Teichmüller group
Lie-* algebra
Opers
Quantum affine algebra
Quantized enveloping algebra
Quasi-bialgebra
Quasi-triangular quasi-Hopf algebra
Ruziewicz problem

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