일정

Torus actions and dynamical systems

기간 : 2018-03-16 ~ 2018-03-16
시간 : 15:50 ~ 18:00
개최 장소 : Math. Bldg. 404
개요
Torus actions and dynamical systems
주최
오용근
후원
Université Toulouse-III
분야Field 2018 Math Colloquium
날짜Date 2018-03-16 ~ 2018-03-16 시간Time 15:50 ~ 18:00
장소Place Math. Bldg. 404 초청자Host 오용근
연사Speaker Nguyen TienZung 소속Affiliation Université Toulouse-III
TOPIC Torus actions and dynamical systems
소개 및 안내사항Content Title: Torus actions and dynamical systems

Abstract: 

Part 1: This amazingly period world

Most things that we observe in the world are of periodic nature, from the movements of the stars and the planets to our everyday life to the swaves and so on. On the other hand, starting with the work of Poincaré, we know that most dynamical systems are non-quasi-periodic (non-integrable), even chaotic . In this talk I want to explain this apparent paradox, and indicate some mathematical theories  related to it.

Part 2. Torus actions in dynamical systems

In this talk, I want to show that any dynamical system admits intrinsic associated torus actions, and these actions play a very important role in many problems: local normalization, action-angle variables, perturbation theory, etc. There is a "new kind of conservation laws" for dynamical systems, which involves these torus actions.

 
학회명Field Torus actions and dynamical systems
날짜Date 2018-03-16 ~ 2018-03-16 시간Time 15:50 ~ 18:00
장소Place Math. Bldg. 404 초청자Host 오용근
소개 및 안내사항Content Title: Torus actions and dynamical systems

Abstract: 

Part 1: This amazingly period world

Most things that we observe in the world are of periodic nature, from the movements of the stars and the planets to our everyday life to the swaves and so on. On the other hand, starting with the work of Poincaré, we know that most dynamical systems are non-quasi-periodic (non-integrable), even chaotic . In this talk I want to explain this apparent paradox, and indicate some mathematical theories  related to it.

Part 2. Torus actions in dynamical systems

In this talk, I want to show that any dynamical system admits intrinsic associated torus actions, and these actions play a very important role in many problems: local normalization, action-angle variables, perturbation theory, etc. There is a "new kind of conservation laws" for dynamical systems, which involves these torus actions.

 
성명Field Torus actions and dynamical systems
날짜Date 2018-03-16 ~ 2018-03-16 시간Time 15:50 ~ 18:00
소속Affiliation Université Toulouse-III 초청자Host 오용근
소개 및 안내사항Content Title: Torus actions and dynamical systems

Abstract: 

Part 1: This amazingly period world

Most things that we observe in the world are of periodic nature, from the movements of the stars and the planets to our everyday life to the swaves and so on. On the other hand, starting with the work of Poincaré, we know that most dynamical systems are non-quasi-periodic (non-integrable), even chaotic . In this talk I want to explain this apparent paradox, and indicate some mathematical theories  related to it.

Part 2. Torus actions in dynamical systems

In this talk, I want to show that any dynamical system admits intrinsic associated torus actions, and these actions play a very important role in many problems: local normalization, action-angle variables, perturbation theory, etc. There is a "new kind of conservation laws" for dynamical systems, which involves these torus actions.

 
성명Field Torus actions and dynamical systems
날짜Date 2018-03-16 ~ 2018-03-16 시간Time 15:50 ~ 18:00
호실Host 인원수Affiliation Nguyen TienZung
사용목적Affiliation 오용근 신청방식Host Université Toulouse-III
소개 및 안내사항Content Title: Torus actions and dynamical systems

Abstract: 

Part 1: This amazingly period world

Most things that we observe in the world are of periodic nature, from the movements of the stars and the planets to our everyday life to the swaves and so on. On the other hand, starting with the work of Poincaré, we know that most dynamical systems are non-quasi-periodic (non-integrable), even chaotic . In this talk I want to explain this apparent paradox, and indicate some mathematical theories  related to it.

Part 2. Torus actions in dynamical systems

In this talk, I want to show that any dynamical system admits intrinsic associated torus actions, and these actions play a very important role in many problems: local normalization, action-angle variables, perturbation theory, etc. There is a "new kind of conservation laws" for dynamical systems, which involves these torus actions.

 
수학과 수학과 · 2018-03-12 10:47 · 조회 1049
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