Dennis Sullivan - The Abel Prize Interview 2022

1:44 Manifold explained
4:44 Space according to the prescription
5:26 What can be deformed and pushed, in homotopy theory, in the homotopy type as opposed to the actual manifold?
7:10 With the surgery exact sequence?
7:40 Milnors influence on the area - combinatorial manifold case
9:44 Hauptvermutung
11:45 Obstruction group in dimension four
12:32 Galois group and the study of manifolds
14:56 How can we view manifolds? As we would view algebraic varieties?
16:56 Poincaré moments
17:36 Fascinating experience during PHD oral exam
20:58 Have you had any similar insights in your other areas of study?
22:10 The Adams conjecture and the MIT notes
26:36 The rational homotopy theory
28:00 Cohomology determines the entire rational type, eg. Kähler manifolds
30:41 Dynamical systems and their importance in studying manifolds. Impact of Denjoy, Herman and Yoccoz
37:42 Influence of Feigenbaum
40:15 The non-wandering-domain theorem
41:40 Dictionary
47:44 Is there some type of mathematics that you don’t like?
48:10 You promised to replace Newton’s calculus by Poincaré’s combinatorial topology
54:50 Is Navier–Stokes problem one of the hardest Millennium Prize Problems?
56:51 Selberg said “I believe that it is the simple things that will survive in mathematics.” Do you agree?
58:53 Sullivan comments on Abel's philosophy of mathematics
Abel Prize laureate 2022: Dennis Parnell Sullivan interviewed by mathematicians Christian Skau and Bjørn Ian Dundas.

Dennis Sullivan, Stony Brook University, USA, and the Graduate School and University Center of the City University of New York, USA, was awarded the Abel Prize 2022 “for his groundbreaking contributions to topology in its broadest sense, and in particular its algebraic, geometric and dynamical aspects”.

Dennis Sullivan is interviewed by the two mathematicians Christian Skau and Bjørn Ian Dundas. Produced by Gyro for The Norwegian Academy of Science and Letters / Abel Prize © 2022

Видео Dennis Sullivan - The Abel Prize Interview 2022 канала The Abel Prize