207:
46:
667:
662:
51:
687:
682:
405:
215:
348:) and the technique of "mixed categories" to representation theory. Furthermore, Ginzburg and Mikhail Kapranov developed Koszul duality theory for
697:
692:
371:
is played by the so-called "Ginzburg dg algebra", a Calabi-Yau (dg)-algebra of dimension 3 associated with any cyclic potential on the
297:
278:
677:
457:; Ginzburg, Victor (2002), "Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism",
250:
638:
231:
173:. He is known for his contributions to geometric representation theory, especially, for his works on representations of
368:
257:
23:. For the mathematician who has worked on problems about Hamiltonian dynamics and symplectic and Poisson geometry, see
220:
397:
20:
224:
178:
549:
264:
186:
459:
364:
356:
311:
246:
170:
86:
657:
618:
96:
190:
166:
127:
672:
652:
478:
376:
389:
337:
574:
529:
514:
502:
468:
315:
139:
182:
271:
558:
544:
486:
414:
393:
360:
159:
134:
28:
570:
498:
447:
428:
600:
566:
494:
443:
424:
24:
482:
345:
341:
319:
174:
143:
100:
65:
646:
578:
506:
454:
162:
76:
372:
562:
419:
435:
330:
117:
234:. Contentious material about living people that is unsourced or poorly sourced
45:
634:
490:
349:
534:
519:
473:
513:
200:
601:"Victor Ginzburg, Professor in Mathematics and the College"
340:, Ginzburg, and Wolfgang Soergel introduced the concept of
189:). He is currently a Professor of Mathematics at the
367:
algebra. An important role in the theory of motivic
133:
123:
113:
92:
82:
72:
58:
36:
398:"Koszul duality patterns in representation theory"
528:Ginzburg, Victor (2006). "Calabi-Yau Algebras".
359:, Ginzburg defined, following earlier ideas of
8:
406:Journal of the American Mathematical Society
619:"MMJ: Vol.7 (2007), N.4. - Victor Ginzburg"
440:Representation theory and complex geometry
327:Representation theory and complex geometry
44:
33:
16:Russian American mathematician (born 1957)
668:American people of Russian-Jewish descent
533:
518:
472:
418:
298:Learn how and when to remove this message
591:
663:Russian emigrants to the United States
547:(1994), "Koszul duality for operads",
7:
688:21st-century American mathematicians
683:20th-century American mathematicians
333:on geometric representation theory.
605:The University of Chicago Chronicle
14:
314:in 1985, under the direction of
205:
310:Ginzburg received his Ph.D. at
698:Moscow State University alumni
599:Koppes, Steve (June 8, 2006),
1:
693:University of Chicago faculty
639:Mathematics Genealogy Project
563:10.1215/S0012-7094-94-07608-4
420:10.1090/S0894-0347-96-00192-0
216:biography of a living person
438:; Ginzburg, Victor (1997),
369:Donaldson–Thomas invariants
236:must be removed immediately
62:1957 (age 66–67)
19:For the film director, see
714:
442:, Boston, MA: Birkhäuser,
325:Ginzburg wrote a textbook
21:Victor Ginzburg (director)
18:
550:Duke Mathematical Journal
187:equivalence of categories
149:
106:
43:
27:. For the economist, see
460:Inventiones Mathematicae
357:noncommutative geometry
312:Moscow State University
181:, and on the geometric
171:noncommutative geometry
87:Moscow State University
230:Please help by adding
678:Soviet mathematicians
491:10.1007/s002220100171
383:Selected publications
225:references or sources
191:University of Chicago
167:representation theory
128:University of Chicago
392:; Ginzburg, Victor;
390:Beilinson, Alexander
483:2002InMat.147..243E
338:Alexander Beilinson
97:Ginzburg dg algebra
543:Ginzburg, Victor;
316:Alexandre Kirillov
214:This section of a
140:Alexandre Kirillov
545:Kapranov, Mikhail
394:Soergel, Wolfgang
308:
307:
300:
282:
247:"Victor Ginzburg"
183:Langlands program
158:(born 1957) is a
153:
152:
108:Scientific career
705:
623:
622:
615:
609:
607:
596:
581:
539:
537:
524:
522:
509:
476:
450:
431:
422:
402:
363:, the notion of
361:Maxim Kontsevich
303:
296:
292:
289:
283:
281:
240:
232:reliable sources
209:
208:
201:
160:Russian American
135:Doctoral advisor
48:
34:
29:Victor Ginsburgh
713:
712:
708:
707:
706:
704:
703:
702:
643:
642:
635:Victor Ginzburg
632:
627:
626:
617:
616:
612:
598:
597:
593:
588:
542:
527:
512:
453:
434:
400:
388:
385:
304:
293:
287:
284:
241:
239:
229:
210:
206:
199:
156:Victor Ginzburg
142:
99:
83:Alma mater
68:
63:
54:
39:
38:Victor Ginzburg
32:
25:Viktor Ginzburg
17:
12:
11:
5:
711:
709:
701:
700:
695:
690:
685:
680:
675:
670:
665:
660:
655:
645:
644:
631:
630:External links
628:
625:
624:
610:
590:
589:
587:
584:
583:
582:
557:(1): 203–272,
540:
525:
510:
467:(2): 243–348,
455:Etingof, Pavel
451:
432:
413:(2): 473–527,
384:
381:
346:Koszul algebra
342:Koszul duality
320:Israel Gelfand
306:
305:
213:
211:
204:
198:
195:
179:Hecke algebras
175:quantum groups
151:
150:
147:
146:
144:Israel Gelfand
137:
131:
130:
125:
121:
120:
115:
111:
110:
104:
103:
101:Koszul duality
94:
93:Known for
90:
89:
84:
80:
79:
74:
70:
69:
66:Moscow, Russia
64:
60:
56:
55:
49:
41:
40:
37:
15:
13:
10:
9:
6:
4:
3:
2:
710:
699:
696:
694:
691:
689:
686:
684:
681:
679:
676:
674:
671:
669:
666:
664:
661:
659:
658:Living people
656:
654:
651:
650:
648:
641:
640:
636:
629:
620:
614:
611:
606:
602:
595:
592:
585:
580:
576:
572:
568:
564:
560:
556:
552:
551:
546:
541:
536:
531:
526:
521:
516:
511:
508:
504:
500:
496:
492:
488:
484:
480:
475:
470:
466:
462:
461:
456:
452:
449:
445:
441:
437:
433:
430:
426:
421:
416:
412:
408:
407:
399:
395:
391:
387:
386:
382:
380:
378:
374:
370:
366:
362:
358:
353:
351:
347:
343:
339:
334:
332:
328:
323:
321:
317:
313:
302:
299:
291:
288:November 2019
280:
277:
273:
270:
266:
263:
259:
256:
252:
249: –
248:
244:
243:Find sources:
237:
233:
227:
226:
222:
217:
212:
203:
202:
196:
194:
192:
188:
184:
180:
176:
172:
168:
165:who works in
164:
163:mathematician
161:
157:
148:
145:
141:
138:
136:
132:
129:
126:
122:
119:
116:
112:
109:
105:
102:
98:
95:
91:
88:
85:
81:
78:
75:
71:
67:
61:
57:
53:
47:
42:
35:
30:
26:
22:
633:
613:
604:
594:
554:
548:
535:math/0612139
520:math/0506603
474:math/0011114
464:
458:
439:
436:Chriss, Neil
410:
404:
373:path algebra
354:
335:
326:
324:
309:
294:
285:
275:
268:
261:
254:
242:
235:
218:
155:
154:
124:Institutions
107:
673:Soviet Jews
653:1957 births
336:A paper by
331:Neil Chriss
118:Mathematics
73:Nationality
52:Oberwolfach
647:Categories
586:References
365:Calabi–Yau
258:newspapers
579:115166937
507:119708574
219:does not
396:(1996),
185:(Satake
77:American
50:2012 in
637:at the
571:1301191
499:1881922
479:Bibcode
448:1433132
429:1322847
350:operads
272:scholar
221:include
169:and in
577:
569:
505:
497:
446:
427:
377:quiver
274:
267:
260:
253:
245:
197:Career
114:Fields
575:S2CID
530:arXiv
515:arXiv
503:S2CID
469:arXiv
401:(PDF)
375:of a
344:(cf.
329:with
279:JSTOR
265:books
318:and
251:news
223:any
177:and
59:Born
559:doi
487:doi
465:147
415:doi
355:In
649::
603:,
573:,
567:MR
565:,
555:76
553:,
501:,
495:MR
493:,
485:,
477:,
463:,
444:MR
425:MR
423:,
409:,
403:,
379:.
352:.
322:.
193:.
621:.
608:.
561::
538:.
532::
523:.
517::
489::
481::
471::
417::
411:9
301:)
295:(
290:)
286:(
276:·
269:·
262:·
255:·
238:.
228:.
31:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
