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0:00:00 First mathematical memories
0:03:56 Contradictions vs. Constructions
0:08:29 Meeting Jacques Tits
0:13:45 Auditing university courses at age sixteen
0:16:15 Grothendieck and Serre seminars
0:22:06 Keeping up while in the military
0:25:15 Leaving the military for the Seminaire Grothendieck
0:31:00 Grothendieck seminar
0:38:30 Choosing a dissertation
0:40:25 First research project
0:43:19 Mixed Hodge structures
0:53:17 Grothendieck and Weil conjectures
1:05:12 Grothendieck, politics, and IHES
1:10:12 Work with Serre
1:13:35 Understanding mathematical structure
1:15:59 Communication and competition in mathematics
1:21:01 Mathematics in Russia
1:28:28 Working with students and colleagues
1:33:24 Role of examples and theories
1:37:33 Dreams in mathematics
1:39:42 Is the Hodge conjecture true?
1:43:47 Approaching new fields
1:46:30 Theory of motives
1:49:22 Igloos and calendars