Uploaded February 2020 | Updated September 2026, 3 weeks ago
Abstract:
Homogeneous dynamics is another name for flows on homogeneous spaces. It was realized during last the 30–40 years that such dynamics have many applications to certain problems in number theory and Diophantine approximation. In my talk I will describe some of these applications and briefly explain the role of Kolmogorov–Sinai entropy in the proof of corresponding results from homogeneous dynamics.
Grigory Margulis is a Russian-American mathematician known for his work on lattices in Lie groups, and the introduction of methods from ergodic theory into diophantine approximation. He was awarded a Fields Medal in 1978 and a Wolf Prize in Mathematics in 2005, becoming the seventh mathematician to receive both prizes.
This lecture was held at The University of Oslo, May 21, 2014 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations.
Program for the Abel Lectures 2014
1. "Now everything has been started? The origin of deterministic chaos" by Abel Laureate Yakov Sinai, Princeton University and Landau Institute for Theoretical Physics, Russian Academy of Sciences
2. "Kolmogorov–Sinai entropy and homogeneous dynamics" by Professor Gregory Margulis, Yale University
3. "Between mathematics and physics" by Konstantin Khanin, University of Toronto
4. "Mathematical billiards and chaos" a science lecture by Domokos Szász, Eötvös University, Budapest
Thumbnail photo: Dan Rezetti
Abstract:
Homogeneous dynamics is another name for flows on homogeneous spaces. It was realized during last the 30–40 years that such dynamics have many applications to certain problems in number theory and Diophantine approximation. In my talk I will describe some of these applications and briefly explain the role of Kolmogorov–Sinai entropy in the proof of corresponding results from homogeneous dynamics.
Grigory Margulis is a Russian-American mathematician known for his work on lattices in Lie groups, and the introduction of methods from ergodic theory into diophantine approximation. He was awarded a Fields Medal in 1978 and a Wolf Prize in Mathematics in 2005, becoming the seventh mathematician to receive both prizes.
This lecture was held at The University of Oslo, May 21, 2014 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations.
Program for the Abel Lectures 2014
1. "Now everything has been started? The origin of deterministic chaos" by Abel Laureate Yakov Sinai, Princeton University and Landau Institute for Theoretical Physics, Russian Academy of Sciences
2. "Kolmogorov–Sinai entropy and homogeneous dynamics" by Professor Gregory Margulis, Yale University
3. "Between mathematics and physics" by Konstantin Khanin, University of Toronto
4. "Mathematical billiards and chaos" a science lecture by Domokos Szász, Eötvös University, Budapest
Thumbnail photo: Dan Rezetti
![Interview with Endre Szemerédi [Sound only]](https://i.ytimg.com/vi/dWE46egJnxQ/mqdefault.jpg "Interview with Endre Szemerédi [Sound only]
Interview with Endre Szemerédi [Sound only]")
