Gregory Margulis - The Abel Prize interview 2020

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.