Gregory Margulis - The Abel Prize interview 2020
Автор: The Abel Prize
Загружено: 2021-01-21
Просмотров: 5010
Описание:
00:00 congratulations to Gregory Margulis
01:33 when did you interests in mathematics start?
02:33 growing up in Moscow in the 50’s and 60’s and being included in mathematical circles
05:47 mathematical Olympiads
06:32 early career and the paper with Kazhdan
08:03 Margulis at the Institute for Problems in Information Transmission
11:29 Yakov Sinai, Abel Prize laureate 2014 as PhD advisor
13:04 lattices in semisimple Lie groups
17:46 the timeline of the proof of arithmeticity of lattices
21:05 explaining what it means to say a lattice is arithmetic
25:08 proof of superridgidity and Hillel Furstenberg’s, co-laureate, work
27:47 what is the normal subgroup theorem and why this proof is so good
33:38 the proof of the Oppenheim conjecture and how we should we think about it?
40:05 Jacques Tits quote at the ICM Congress in Helsinki in 1978, when Margulis received the Fields Medal
42:45 explanation of expander graph
48:23 solving the problem of Banach on the uniqueness of invariant means on the n-sphere
51:22 working style changing over the years and working with graduate students
Read the full interview in Notices of the American Mathematical Society:
https://www.ams.org/journals/notices/...
Gregory Margulis is interviewed by the two mathematicians Christian Skau and Bjørn Ian Dundas.
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