Felder und Räume: Symmetrie und Lokalität in Mathematik und theoretischen Wissenschaften

오버불파크에서 찍은 현대수학의 면모

Felder und Räume: Symmetrie und Lokalität in Mathematik und theoretischen Wissenschaften

Wir werden einige grundlegende Ideen der Eichtheorie und der dazugehörigen Differentialtopologie erkunden. Damit kann sich die Leserin ein Bild des Modulraums flacher Zusammenhänge machen und ihn mit den physikalisch motivierten Ideen dahinter in Beziehung bringen. Den Begriffen von Symmetrien und Feldern gehen wir gründlich nach. Außerdem werfen wir einen flüchtigen Blick auf unendliche Symmetrie in zwei Dimensionen und auf vor kurzem entdeckte Verallgemeinerungen.

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수학적 주제

기하학/위상수학

다른 분야와의 연관성

물리학

저자

Ingmar Saberi

라이선스

디지털 객체 식별자(DOI)

10.14760/SNAP-2023-003-EN

PDF 다운로드

snapshot-2023-003.pdf

PDF

snapshots: overview

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Felder und Räume: Symmetrie und Lokalität in Mathematik und theoretischen Wissenschaften
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The periodic tables of algebraic geometry
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Quantum symmetry
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The Enigma behind the Good–Turing formula
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Reflections on hyperbolic space
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Ultrafilter methods in combinatorics
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Closed geodesics on surfaces and Riemannian manifolds
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Profinite groups
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Statistics and dynamical phenomena
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Arrangements of lines
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The ternary Goldbach Problem
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Matrixfaktorisierungen
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Dirichlet Series

수학적 주제

대수학/정수론
해석학
수학교육/교수법
이산수학/수학기초론
기하학/위상수학
수치해석/과학계산
확률론/통계학

다른 분야와의 연관성

화학 및 지구과학
컴퓨터 과학
공학
금융
인문/사회과학
생명 과학
물리학
수학 전반에 대한 소고

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