4 lives in this collection worked in lie groups, from 1909 to today. Each has a full course on their life and the mathematics and physics they made.
Often together with: ergodic theory, homogeneous dynamics. All fields
Founding member of Bourbaki who introduced ideles into class field theory and constructed the Chevalley groups, simple groups attached to Lie algebras over every field.
class field theory, lie groups, algebraic groups
Physicist turned mathematician who created the harmonic analysis of semisimple Lie groups, from the Harish-Chandra isomorphism to the discrete series and the Plancherel formula.
representation theory, harmonic analysis, lie groups
Ergodic theorist who proved the rigidity of horocycle flows and Raghunathan's conjectures on unipotent flows, the foundation of homogeneous dynamics.
ergodic theory, homogeneous dynamics, lie groups
Proved superrigidity and arithmeticity of higher-rank lattices, built the first explicit expanders, and solved the Oppenheim conjecture by founding homogeneous dynamics.
lie groups, ergodic theory, homogeneous dynamics