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Alexander Beilinson

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Applications of algebraic K-theory to algebraic geometry and number theory, Part I, II (Boulder, Colo., 1983), Contemporary Mathematics
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obtained a proof of the Kazhdan–Lusztig conjectures. However, the proof of Beilinson–Bernstein introduced a method of
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Beilinson, A. A.; Lusztig, G.; MacPherson, R. (1990). "A geometric setting for the quantum deformation of GL
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Brylinski, Jean-Luc; Kashiwara, Masaki (October 1981). "Kazhdan-Lusztig conjecture and holonomic systems".
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K-theory, arithmetic and geometry (Manin seminar, Moscow, 1984--1986) in Lecture Notes in Math
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K-theory, arithmetic and geometry (Manin seminar, Moscow, 1984—1986) in Lecture Notes in Math
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Beilinson, A. A.; MacPherson, R.; Schechtman, V. (1987). "Notes on motivic cohomology".
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Letter from Beilinson to Soule containing his conjectures on motivic cohomology
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Beilinson, A. A.; Bernstein, J.; Deligne, P. (1982). "Faisceaux pervers".
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Beilinson, A. A.; Ginzburg, V.; Schechtman, V. (1988). "Koszul duality".
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Beilinson, A. A. (1984). "Higher regulators and values of L-functions".
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Beilinson, A. A. (1987). "On the derived category of perverse sheaves".
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In 1982, Beilinson published his own conjectures about the existence of
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Analysis and topology on singular spaces, I (Luminy, 1981), Astèrisque
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National Academy of Sciences Members and Foreign Associates Elected
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Beilinson, A. A. (1986). "Notes on absolute Hodge cohomology".
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from the article and its talk page, especially if potentially
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Members of the United States National Academy of Sciences
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Beilinson, A. A. (1987). "How to glue perverse sheaves".
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Itogi Nauki i Tekhniki, Current problems in mathematics
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and works on mathematics. His research has spanned
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Fellows of the American Academy of Arts and Sciences
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Beilinson, A. A.; Ginzburg, V.; Soergel, W. (1996).
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From the early 1990s onwards, Beilinson worked with
1032: 688:"Koszul duality patterns in representation theory" 653:in the fall of 1994 and again from 1996 to 1998. 1809: 893: 873:Beilinson, A. A. (1980). "Residues and adèles". 872: 854: 845: 803: 790: 602:throughout the mid-1980s. He collaborated with 548:. The paper also provided a generalization to 517:. These conjectures have since been dubbed the 1853:Institute for Advanced Study visiting scholars 1017:"On Soviet Mathematics of the 1950s and 1960s" 966:"Paul McCartney among 9 Wolf Prize recipients" 894:Beilinson, A. A. (1978). "Coherent sheaves on 1179: 692:Journal of the American Mathematical Society 470:. These geometric objects naturally have an 434:In 1981, Beilinson announced a proof of the 538:Higher Regulators and values of L-functions 446:. Independent of Beilinson and Bernstein, 395:descent while his paternal grandfather was 386: 1186: 1172: 649:in 2008. He was a visiting scholar at the 160: 67:about living persons that is unsourced or 703: 138:Learn how and when to remove this message 1193: 656: 421:Functional Analysis and Its Applications 411:In 1978, Beilinson published a paper on 1096:. American Academy of Arts and Sciences 1091:"Book of Members, 1780–2010: Chapter B" 663:Beilinson, A. A.; Drinfeld, V. (2004). 544:for K-theory and their relationship to 536:In 1984, Beilinson published the paper 391:Beilinson was born in Moscow of mostly 363:. In 1999, Beilinson was awarded the 14: 1810: 423:was one of the papers on the study of 1167: 1159:Citation for the 1999 Ostrowski Prize 647:American Academy of Arts and Sciences 1833:21st-century American mathematicians 1828:20th-century American mathematicians 578:Birch and Swinnerton-Dyer conjecture 419:. His two-page note in the journal 29: 1083: 970:The Jerusalem Post | JPost.com 511:Atiyah–Hirzebruch spectral sequence 24: 633:. This has led to new advances in 166:Beilinson (left) with his students 25: 1874: 1138: 1014: 898:and problems in linear algebra". 645:. He was elected a Fellow of the 371:. In 2017, he was elected to the 225:Beilinson–Lichtenbaum conjecture 221:Beilinson–Bernstein localization 34: 756:Journal of Geometry and Physics 598:Beilinson continued to work on 1108: 1026: 1008: 983: 958: 942: 900:Funktsional. Anal. I Prilozhen 875:Funktsional. Anal. I Prilozhen 27:Russian-American mathematician 13: 1: 1823:University of Chicago faculty 1149:Mathematics Genealogy Project 935: 831:10.1215/S0012-7094-87-05430-5 739:10.1215/S0012-7094-90-06124-1 705:10.1090/S0894-0347-96-00192-0 669:American Mathematical Society 953:National Academy of Sciences 776:10.1016/0393-0440(88)90028-9 651:Institute for Advanced Study 521:; they are intertwined with 373:National Academy of Sciences 229:Beilinson–Parshin conjecture 45:biography of a living person 7: 519:Beilinson-SoulĂ© conjectures 436:Kazhdan–Lusztig conjectures 375:. In 2018, he received the 72:must be removed immediately 10: 1879: 462:of representations of the 1622: 1403: 1202: 819:Duke Mathematical Journal 727:Duke Mathematical Journal 625:to rebuild the theory of 507:motivic spectral sequence 377:Wolf Prize in Mathematics 338: 328: 316: 306: 298: 291: 270: 262: 204: 196: 171: 159: 152: 1036:Inventiones Mathematicae 525:'s program to develop a 415:and several problems in 387:Early life and education 1690:Demetrios Christodoulou 1531:Everett Peter Greenberg 406: 401:Moscow State University 1838:Russian mathematicians 635:conformal field theory 554:Lichtenbaum conjecture 540:, in which he related 495:hypercohomology groups 345:Alexander A. Beilinson 59:Please help by adding 18:Alexander A. Beilinson 1394:Shrinivas R. Kulkarni 657:Selected publications 353:representation theory 349:University of Chicago 311:University of Chicago 241:Decomposition theorem 209:Beilinson conjectures 87:"Alexander Beilinson" 1453:Keith H. S. Campbell 1413:Stanley Norman Cohen 606:on the developing a 595:of elliptic curves. 550:arithmetic varieties 361:mathematical physics 65:Contentious material 1843:Algebraic geometers 1756:Alexander Beilinson 1694:Richard S. Hamilton 1364:Chryssa Kouveliotou 1145:Alexander Beilinson 1053:1981InMat..64..387B 1022:. pp. 215–216. 768:1988JGP.....5..317B 509:, analogous to the 440:Jantzen conjectures 217:Beilinson regulator 154:Alexander Beilinson 1766:Jean-Michel Bismut 1493:Franz-Ulrich Hartl 1316:William J. Borucki 1122:on January 6, 2013 1061:10.1007/BF01389272 912:10.1007/BF01681436 808:. Vol. 1289. 795:. Vol. 1289. 641:and the geometric 610:interpretation of 600:algebraic K-theory 586:Bloch's conjecture 523:Vladimir Voevodsky 515:algebraic topology 503:algebraic K-theory 487:motivic cohomology 476:parallel transport 425:derived categories 357:algebraic geometry 1805: 1804: 1786:Vladimir Drinfeld 1632:Shiing-Shen Chern 1589:Paul A. Negulescu 1497:Arthur L. Horwich 1370:Lennart Lindegren 1302:Daniel Eisenstein 995:www.shawprize.org 812:. pp. 27–41. 799:. pp. 42–51. 678:978-0-8218-3528-9 643:Langlands program 623:Vladimir Drinfeld 542:higher regulators 342: 341: 329:Doctoral students 293:Scientific career 257:Tate vector space 213:Beilinson element 148: 147: 140: 122: 48:needs additional 16:(Redirected from 1870: 1750:Michel Talagrand 1700:Maxim Kontsevich 1654:Robert Langlands 1593:Michael J. Welsh 1557:Mary-Claire King 1511:Michael W. Young 1483:Ruslan Medzhitov 1467:Jeffrey Friedman 1443:Robert Lefkowitz 1431:Michael Berridge 1388:Maura McLaughlin 1374:Michael Perryman 1188: 1181: 1174: 1165: 1164: 1132: 1131: 1129: 1127: 1118:. Archived from 1112: 1106: 1105: 1103: 1101: 1095: 1087: 1081: 1080: 1030: 1024: 1023: 1021: 1012: 1006: 1005: 1003: 1001: 991:"The Shaw Prize" 987: 981: 980: 978: 976: 962: 956: 946: 931: 890: 869: 860: 851: 842: 813: 800: 787: 750: 717: 707: 682: 574:algebraic cycles 566:Hodge conjecture 497:of a complex of 444:Joseph Bernstein 413:coherent sheaves 383:in Mathematics. 379:and in 2020 the 318:Doctoral advisor 249:Perverse sheaves 185: 181: 179: 164: 150: 149: 143: 136: 132: 129: 123: 121: 80: 61:reliable sources 38: 37: 30: 21: 1878: 1877: 1873: 1872: 1871: 1869: 1868: 1867: 1808: 1807: 1806: 1801: 1780:Ehud Hrushovski 1744:Luis Caffarelli 1678:Clifford Taubes 1674:Simon Donaldson 1664:Vladimir Arnold 1624: 1618: 1609:Stuart H. Orkin 1569:Gero Miesenböck 1507:Michael Rosbash 1503:Jeffrey C. Hall 1463:Douglas Coleman 1457:Shinya Yamanaka 1405: 1399: 1354:Roger Blandford 1348:Edward C. Stone 1342:Jean-Loup Puget 1310:John A. Peacock 1282:David C. Jewitt 1258:Charles Bennett 1246:Reinhard Genzel 1240:Peter Goldreich 1226:Saul Perlmutter 1198: 1192: 1141: 1136: 1135: 1125: 1123: 1114: 1113: 1109: 1099: 1097: 1093: 1089: 1088: 1084: 1045:Springer-Verlag 1031: 1027: 1019: 1015:Fuchs, Dmitry. 1013: 1009: 999: 997: 989: 988: 984: 974: 972: 964: 963: 959: 947: 943: 938: 810:Springer-Verlag 797:Springer-Verlag 724: 679: 665:Chiral Algebras 659: 631:chiral algebras 627:vertex algebras 594: 582:elliptic curves 570:Tate conjecture 527:homotopy theory 501:and related to 409: 389: 365:Ostrowski Prize 283: 278: 275:Ostrowski Prize 255: 251: 247: 243: 239: 237:Chiral homology 235: 231: 227: 223: 219: 215: 211: 192: 186: 183: 177: 175: 167: 155: 144: 133: 127: 124: 81: 79: 58: 39: 35: 28: 23: 22: 15: 12: 11: 5: 1876: 1866: 1865: 1860: 1855: 1850: 1845: 1840: 1835: 1830: 1825: 1820: 1803: 1802: 1800: 1799: 1793: 1790:Shing-Tung Yau 1783: 1773: 1763: 1753: 1747: 1741: 1731: 1725: 1722:Henryk Iwaniec 1715: 1712:George Lusztig 1709: 1703: 1697: 1687: 1681: 1671: 1668:Ludwig Faddeev 1661: 1658:Richard Taylor 1651: 1641: 1635: 1628: 1626: 1620: 1619: 1617: 1616: 1613:Swee Lay Thein 1606: 1599:Patrick Cramer 1596: 1586: 1580: 1573:Peter Hegemann 1566: 1560: 1554: 1547:Ian R. Gibbons 1544: 1534: 1527:Bonnie Bassler 1524: 1517:Kazutoshi Mori 1514: 1500: 1490: 1479:Jules Hoffmann 1476: 1470: 1460: 1446: 1440: 1434: 1428: 1409: 1407: 1401: 1400: 1398: 1397: 1391: 1384:Duncan Lorimer 1380:Matthew Bailes 1377: 1367: 1360:Victoria Kaspi 1357: 1351: 1345: 1339: 1333: 1319: 1313: 1299: 1296:John F. Hawley 1289: 1279: 1276:Gerald Fishman 1269: 1255: 1249: 1243: 1237: 1223: 1216:Geoffrey Marcy 1213: 1206: 1204: 1200: 1199: 1191: 1190: 1183: 1176: 1168: 1162: 1161: 1156: 1151: 1140: 1139:External links 1137: 1134: 1133: 1107: 1082: 1025: 1007: 982: 957: 955:, May 2, 2017. 940: 939: 937: 934: 933: 932: 891: 870: 861: 852: 843: 825:(2): 679–710. 814: 801: 788: 762:(3): 317–350. 751: 733:(2): 655–677. 722: 718: 698:(2): 473–527. 683: 677: 658: 655: 604:Pierre Deligne 592: 499:abelian groups 493:, provided as 417:linear algebra 408: 405: 388: 385: 340: 339: 336: 335: 333:Lorenzo Ramero 330: 326: 325: 320: 314: 313: 308: 304: 303: 300: 296: 295: 289: 288: 272: 268: 267: 264: 260: 259: 233:Chiral algebra 206: 205:Known for 202: 201: 198: 194: 193: 187: 173: 169: 168: 165: 157: 156: 153: 146: 145: 69:poorly sourced 42: 40: 33: 26: 9: 6: 4: 3: 2: 1875: 1864: 1861: 1859: 1856: 1854: 1851: 1849: 1846: 1844: 1841: 1839: 1836: 1834: 1831: 1829: 1826: 1824: 1821: 1819: 1818:Living people 1816: 1815: 1813: 1797: 1794: 1791: 1787: 1784: 1781: 1777: 1774: 1771: 1767: 1764: 1761: 1760:David Kazhdan 1757: 1754: 1751: 1748: 1745: 1742: 1739: 1738:Claire Voisin 1735: 1732: 1729: 1728:Nigel Hitchin 1726: 1723: 1719: 1718:Gerd Faltings 1716: 1713: 1710: 1707: 1704: 1701: 1698: 1695: 1691: 1688: 1685: 1684:Jean Bourgain 1682: 1679: 1675: 1672: 1669: 1665: 1662: 1659: 1655: 1652: 1649: 1645: 1644:David Mumford 1642: 1639: 1636: 1633: 1630: 1629: 1627: 1621: 1614: 1610: 1607: 1604: 1600: 1597: 1594: 1590: 1587: 1584: 1581: 1578: 1574: 1570: 1567: 1564: 1561: 1558: 1555: 1552: 1548: 1545: 1542: 1538: 1535: 1532: 1528: 1525: 1522: 1518: 1515: 1512: 1508: 1504: 1501: 1498: 1494: 1491: 1488: 1487:Bruce Beutler 1484: 1480: 1477: 1474: 1471: 1468: 1464: 1461: 1458: 1454: 1450: 1447: 1444: 1441: 1438: 1437:Xiaodong Wang 1435: 1432: 1429: 1426: 1422: 1418: 1417:Herbert Boyer 1414: 1411: 1410: 1408: 1402: 1395: 1392: 1389: 1385: 1381: 1378: 1375: 1371: 1368: 1365: 1361: 1358: 1355: 1352: 1349: 1346: 1343: 1340: 1337: 1334: 1331: 1327: 1323: 1322:Ronald Drever 1320: 1317: 1314: 1311: 1307: 1303: 1300: 1297: 1293: 1292:Steven Balbus 1290: 1287: 1283: 1280: 1277: 1273: 1270: 1267: 1266:David Spergel 1263: 1259: 1256: 1253: 1250: 1247: 1244: 1241: 1238: 1235: 1234:Brian Schmidt 1231: 1227: 1224: 1221: 1217: 1214: 1211: 1208: 1207: 1205: 1201: 1196: 1189: 1184: 1182: 1177: 1175: 1170: 1169: 1166: 1160: 1157: 1155: 1152: 1150: 1146: 1143: 1142: 1121: 1117: 1111: 1092: 1086: 1078: 1074: 1070: 1066: 1062: 1058: 1054: 1050: 1046: 1042: 1038: 1037: 1029: 1018: 1011: 996: 992: 986: 971: 967: 961: 954: 950: 945: 941: 929: 925: 921: 917: 913: 909: 905: 901: 897: 892: 888: 884: 880: 876: 871: 867: 862: 858: 853: 849: 844: 840: 836: 832: 828: 824: 820: 815: 811: 807: 802: 798: 794: 789: 785: 781: 777: 773: 769: 765: 761: 757: 752: 748: 744: 740: 736: 732: 728: 719: 715: 711: 706: 701: 697: 693: 689: 684: 680: 674: 670: 666: 661: 660: 654: 652: 648: 644: 640: 639:string theory 636: 632: 628: 624: 619: 618:conjectures. 617: 616:polylogarithm 613: 609: 605: 601: 596: 591: 587: 583: 579: 575: 571: 567: 563: 559: 555: 551: 547: 543: 539: 534: 532: 528: 524: 520: 516: 512: 508: 504: 500: 496: 492: 488: 483: 481: 477: 473: 469: 465: 461: 457: 453: 449: 445: 441: 437: 432: 430: 426: 422: 418: 414: 404: 402: 398: 394: 384: 382: 378: 374: 370: 366: 362: 358: 354: 350: 346: 337: 334: 331: 327: 324: 323:Yuri I. Manin 321: 319: 315: 312: 309: 305: 301: 297: 294: 290: 286: 281: 276: 273: 269: 265: 261: 258: 254: 250: 246: 245:Lie-* algebra 242: 238: 234: 230: 226: 222: 218: 214: 210: 207: 203: 199: 195: 191: 184:(age 67) 182:June 13, 1957 174: 170: 163: 158: 151: 142: 139: 131: 128:December 2007 120: 117: 113: 110: 106: 103: 99: 96: 92: 89: â€“  88: 84: 83:Find sources: 77: 73: 70: 66: 62: 56: 55: 51: 46: 41: 32: 31: 19: 1796:Peter Sarnak 1770:Jeff Cheeger 1755: 1734:János Kollár 1706:David Donoho 1638:Andrew Wiles 1623:Mathematical 1583:Scott D. Emr 1521:Peter Walter 1473:David Julius 1425:Richard Doll 1421:Yuet-Wai Kan 1406:and medicine 1404:Life science 1330:Rainer Weiss 1272:Enrico Costa 1220:Michel Mayor 1124:. Retrieved 1120:the original 1110: 1098:. Retrieved 1085: 1040: 1034: 1028: 1010: 998:. Retrieved 994: 985: 973:. Retrieved 969: 960: 944: 906:(3): 68–69. 903: 899: 895: 881:(1): 44–45. 878: 874: 865: 856: 847: 822: 818: 805: 792: 759: 755: 730: 726: 695: 691: 664: 620: 597: 589: 537: 535: 484: 468:flag variety 456:localization 433: 427:of coherent 420: 410: 390: 369:Helmut Hofer 344: 343: 307:Institutions 292: 190:Soviet Union 134: 125: 115: 108: 101: 94: 82: 71: 54:verification 47: 1848:1957 births 1603:Eva Nogales 1577:Georg Nagel 1563:Maria Jasin 1551:Ronald Vale 1541:Huda Zoghbi 1537:Adrian Bird 1336:Simon White 1210:Jim Peebles 1047:: 387–410. 546:L-functions 489:groups for 478:: they are 464:Lie algebra 302:Mathematics 266:Helen; Vera 253:t-structure 197:Nationality 1812:Categories 1648:Wentsun Wu 1449:Ian Wilmut 1326:Kip Thorne 1306:Shaun Cole 1262:Lyman Page 1230:Adam Riess 1195:Shaw Prize 936:References 612:Don Zagier 560:of number 474:notion of 381:Shaw Prize 285:Shaw Prize 280:Wolf Prize 178:1957-06-13 98:newspapers 1776:Noga Alon 1252:Frank Shu 1203:Astronomy 1197:laureates 1069:0020-9910 928:122566865 920:0374-1990 887:0374-1990 839:0012-7094 784:0393-0440 747:0012-7094 714:0894-0347 480:D-modules 472:intrinsic 452:Kashiwara 448:Brylinski 50:citations 1286:Jane Luu 1077:18403883 558:K-groups 460:category 263:Children 188:Moscow, 76:libelous 1625:science 1147:at the 1126:May 21, 1100:May 30, 1049:Bibcode 1000:May 21, 975:May 21, 764:Bibcode 608:motivic 552:of the 531:schemes 491:schemes 429:sheaves 393:Russian 200:Russian 112:scholar 1798:(2024) 1792:(2023) 1782:(2022) 1772:(2021) 1762:(2020) 1752:(2019) 1746:(2018) 1740:(2017) 1730:(2016) 1724:(2015) 1714:(2014) 1708:(2013) 1702:(2012) 1696:(2011) 1686:(2010) 1680:(2009) 1670:(2008) 1660:(2007) 1650:(2006) 1640:(2005) 1634:(2004) 1615:(2024) 1605:(2023) 1595:(2022) 1585:(2021) 1579:(2020) 1565:(2019) 1559:(2018) 1553:(2017) 1543:(2016) 1533:(2015) 1523:(2014) 1513:(2013) 1499:(2012) 1489:(2011) 1475:(2010) 1469:(2009) 1459:(2008) 1445:(2007) 1439:(2006) 1433:(2005) 1427:(2004) 1396:(2024) 1390:(2023) 1376:(2022) 1366:(2021) 1356:(2020) 1350:(2019) 1344:(2018) 1338:(2017) 1332:(2016) 1318:(2015) 1312:(2014) 1298:(2013) 1288:(2012) 1278:(2011) 1268:(2010) 1254:(2009) 1248:(2008) 1242:(2007) 1236:(2006) 1222:(2005) 1212:(2004) 1075:  1067:  926:  918:  885:  837:  782:  745:  712:  675:  588:about 584:, and 580:about 576:, the 572:about 568:, the 564:, the 397:Jewish 299:Fields 287:(2020) 282:(2018) 277:(1999) 271:Awards 114:  107:  100:  93:  85:  1094:(PDF) 1073:S2CID 1043:(3). 1020:(PDF) 924:S2CID 562:rings 505:by a 442:with 367:with 119:JSTOR 105:books 43:This 1788:and 1778:and 1768:and 1758:and 1736:and 1720:and 1692:and 1676:and 1666:and 1656:and 1646:and 1611:and 1601:and 1591:and 1575:and 1549:and 1539:and 1529:and 1519:and 1509:and 1495:and 1485:and 1465:and 1455:and 1423:and 1386:and 1372:and 1362:and 1328:and 1308:and 1294:and 1284:and 1274:and 1264:and 1232:and 1218:and 1128:2020 1102:2011 1065:ISSN 1002:2020 977:2020 916:ISSN 883:ISSN 835:ISSN 780:ISSN 743:ISSN 710:ISSN 673:ISBN 556:for 529:for 450:and 438:and 407:Work 359:and 172:Born 91:news 52:for 1057:doi 908:doi 827:doi 772:doi 735:doi 725:". 700:doi 614:'s 513:in 1814:: 1571:, 1505:, 1481:, 1451:, 1419:, 1415:, 1382:, 1324:, 1304:, 1260:, 1228:, 1071:. 1063:. 1055:. 1041:64 1039:. 993:. 968:. 951:, 922:. 914:. 904:12 902:. 879:14 877:. 833:. 823:54 821:. 778:. 770:. 758:. 741:. 731:61 729:. 708:. 694:. 690:. 671:. 667:. 637:, 533:. 482:. 431:. 355:, 180:) 63:. 1187:e 1180:t 1173:v 1130:. 1104:. 1079:. 1059:: 1051:: 1004:. 979:. 930:. 910:: 896:P 889:. 841:. 829:: 786:. 774:: 766:: 760:5 749:. 737:: 723:n 716:. 702:: 696:9 681:. 593:2 590:K 176:( 141:) 135:( 130:) 126:( 116:· 109:· 102:· 95:· 78:. 57:. 20:)

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Alexander A. Beilinson
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Soviet Union
Beilinson conjectures
Beilinson element
Beilinson regulator
Beilinson–Bernstein localization
Beilinson–Lichtenbaum conjecture
Beilinson–Parshin conjecture
Chiral algebra
Chiral homology
Decomposition theorem
Lie-* algebra
Perverse sheaves
t-structure
Tate vector space

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