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Jean-Louis Verdier

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31: 321:, as at the time he thought (w) might be equivalent to Whitney's condition (b). Real algebraic examples for which the Whitney conditions (b) hold but Verdier's condition (w) fails, were constructed by 366: 272: 325:
who has obtained many geometric properties of (w)-regular stratifications. Work of Bernard Teissier, aided by Jean-Pierre Henry and Michel Merle at the
558: 264: 302: 306: 40: 543: 260: 240: 548: 329:, led to the 1982 result that Verdier's condition (w) is equivalent to the Whitney conditions for complex analytic stratifications. 295: 475: 553: 426:(Actes du Colloque International de Luminy, 1991), Progress in Mathematics 115, edited by O. Babelon, P. Cartier, 490: 256: 518: 467: 279: 421: 494: 427: 563: 440: 107: 377: 148: 283: 224: 178: 326: 121: 538: 533: 406: 386: 8: 87: 390: 410: 310: 375:
Verdier, Jean-Louis (1976). "Stratifications de Whitney et théorÚme de Bertini-Sard".
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in Paris, and later became director of studies there, as well as a Professor at the
244: 394: 317:(such as real or complex analytic varieties). Verdier called the condition (w) for 291: 268: 228: 188: 173: 117: 112: 286:. For many years he directed a joint seminar at the École Normale SupĂ©rieure with 461: 402: 349:
Verdier, Jean-Louis (1996). "Des Catégories Dérivées des Catégories Abéliennes".
318: 314: 232: 212: 97: 527: 322: 287: 248: 220: 217: 192: 102: 36: 514: 252: 138: 398: 235:. He was a close collaborator of Grothendieck, notably contributing to 30: 155: 236: 301:
In 1976 Verdier developed a useful regularity condition on
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who worked, under the guidance of his doctoral advisor
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Integrable systems. The Verdier memorial colloquium.
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as the last chapter, "Catégories dérivées (état 0)".
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Integrable Systems, The Verdier Memorial Conference
162:Des catĂ©gories dĂ©rivĂ©es des categories abĂ©liennes 525: 345:Verdier's 1967 thesis, published belatedly in: 357:. SociĂ©tĂ© MathĂ©matique de France, Marseilles. 463:Bourbaki: a secret society of mathematicians 501:BirkhĂ€user, Progress in Mathematics, 1993. 305:that the Chinese-Australian mathematician 255:, following a suggestion he attributed to 243:and anticipating the later development of 216:; 2 February 1935 – 25 August 1989) was a 29: 559:Academic staff of the University of Paris 459: 374: 348: 526: 332:Verdier later worked on the theory of 294:. In 1984 he was the president of the 211: 278:Verdier was a student at the elite 13: 549:20th-century French mathematicians 113:Serre–Grothendieck–Verdier duality 14: 575: 508: 309:had previously shown implied the 544:École Normale SupĂ©rieure alumni 339: 35:Jean-Louis Verdier (right) and 483: 453: 296:SociĂ©tĂ© MathĂ©matique de France 1: 519:Mathematics Genealogy Project 468:American Mathematical Society 446: 103:Verdier hypercovering theorem 7: 434: 365:Part of it also appears in 10: 580: 554:University of Paris alumni 495:Yvette Kosmann-Schwarzbach 290:. Verdier was a member of 460:Mashaal, Maurice (2006), 271:in his definition of the 198: 184: 172: 154: 144: 134: 127: 93: 83: 75: 63: 48: 28: 21: 378:Inventiones Mathematicae 280:École Normale SupĂ©rieure 149:Paris Diderot University 284:University of Paris VII 428:Y. Kosmann-Schwarzbach 273:Ă©tale topological type 267:was later taken up by 225:Alexander Grothendieck 179:Alexander Grothendieck 441:Artin–Verdier duality 263:'s related theory of 122:Triangulated category 108:Artin–Verdier duality 16:French mathematician 430:, BirkhĂ€user, 1993. 391:1976InMat..36..295V 327:École Polytechnique 88:University of Paris 515:Jean-Louis Verdier 399:10.1007/BF01390015 334:integrable systems 311:Whitney conditions 229:derived categories 205:Jean-Louis Verdier 23:Jean-Louis Verdier 489:Olivier Babelon, 477:978-0-8218-3967-6 265:rigid hypercovers 202: 201: 185:Doctoral students 129:Scientific career 571: 564:Nicolas Bourbaki 502: 487: 481: 480: 457: 418: 358: 315:subanalytic sets 269:Eric Friedlander 215: 213:[vɛʁdje] 210: 189:Arnaud Beauville 174:Doctoral advisor 168: 118:Derived category 115: 105: 70: 58: 56: 33: 19: 18: 579: 578: 574: 573: 572: 570: 569: 568: 524: 523: 511: 506: 505: 488: 484: 478: 458: 454: 449: 437: 342: 303:stratified sets 233:Verdier duality 208: 191: 166: 120: 116: 111: 110: 106: 101: 100: 98:Verdier duality 84:Alma mater 68: 59:2 February 1935 54: 52: 44: 24: 17: 12: 11: 5: 577: 567: 566: 561: 556: 551: 546: 541: 536: 522: 521: 510: 509:External links 507: 504: 503: 491:Pierre Cartier 482: 476: 451: 450: 448: 445: 444: 443: 436: 433: 432: 431: 419: 371: 370: 362: 361: 360: 359: 341: 338: 257:Pierre Cartier 245:Ă©tale homotopy 239:his theory of 200: 199: 196: 195: 186: 182: 181: 176: 170: 169: 158: 152: 151: 146: 142: 141: 136: 132: 131: 125: 124: 95: 94:Known for 91: 90: 85: 81: 80: 77: 73: 72: 71:(aged 54) 67:25 August 1989 65: 61: 60: 50: 46: 45: 34: 26: 25: 22: 15: 9: 6: 4: 3: 2: 576: 565: 562: 560: 557: 555: 552: 550: 547: 545: 542: 540: 537: 535: 532: 531: 529: 520: 516: 513: 512: 500: 496: 492: 486: 479: 473: 469: 465: 464: 456: 452: 442: 439: 438: 429: 425: 424: 420: 416: 412: 408: 404: 400: 396: 392: 388: 384: 380: 379: 373: 372: 368: 364: 363: 356: 353:(in French). 352: 347: 346: 344: 343: 337: 335: 330: 328: 324: 323:David Trotman 320: 316: 312: 308: 307:Tzee-Char Kuo 304: 299: 297: 293: 289: 288:Adrien Douady 285: 281: 276: 274: 270: 266: 262: 258: 254: 250: 249:Michael Artin 246: 242: 238: 234: 230: 226: 222: 221:mathematician 219: 214: 206: 197: 194: 193:Alain Lascoux 190: 187: 183: 180: 177: 175: 171: 164: 163: 159: 157: 153: 150: 147: 143: 140: 137: 133: 130: 126: 123: 119: 114: 109: 104: 99: 96: 92: 89: 86: 82: 78: 74: 66: 62: 51: 47: 42: 38: 37:Emma Previato 32: 27: 20: 498: 485: 462: 455: 422: 382: 376: 354: 350: 340:Bibliography 331: 300: 277: 204: 203: 160: 145:Institutions 128: 69:(1989-08-25) 539:1989 deaths 534:1935 births 385:: 295–312. 261:Saul Lubkin 253:Barry Mazur 241:hypercovers 139:Mathematics 76:Nationality 41:Oberwolfach 528:Categories 447:References 351:AstĂ©risque 55:1935-02-02 415:118086083 435:See also 292:Bourbaki 517:at the 407:0481096 387:Bibcode 319:Whitney 209:French: 474:  413:  405:  367:SGA 4Âœ 218:French 167:(1967) 165:  156:Thesis 135:Fields 79:French 411:S2CID 237:SGA 4 227:, on 472:ISBN 313:for 251:and 231:and 64:Died 49:Born 43:1984 395:doi 355:239 247:by 530:: 497:: 493:, 470:, 466:, 409:. 403:MR 401:. 393:. 383:36 381:. 336:. 298:. 275:. 259:. 39:, 417:. 397:: 389:: 207:( 57:) 53:(

Index


Emma Previato
Oberwolfach
University of Paris
Verdier duality
Verdier hypercovering theorem
Artin–Verdier duality
Serre–Grothendieck–Verdier duality
Derived category
Triangulated category
Mathematics
Paris Diderot University
Thesis
Des catégories dérivées des categories abéliennes
Doctoral advisor
Alexander Grothendieck
Arnaud Beauville
Alain Lascoux
[vɛʁdje]
French
mathematician
Alexander Grothendieck
derived categories
Verdier duality
SGA 4
hypercovers
Ă©tale homotopy
Michael Artin
Barry Mazur
Pierre Cartier

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