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Donald Huber-Youmans (Heidelberg University)15/07/2024, 09:00
This course is an introduction to the foundations of symplectic geometry. We will discuss a motivating example—Hamiltonian mechanics—before defining what it means to be symplectic. Afterwards we will study some consequences of the general definitions. Importantly, we will show that locally, all symplectic spaces look the same: there are no local symplectic invariants! This is a consequence of...
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Donald Huber-Youmans (Heidelberg University)15/07/2024, 10:00
This course is an introduction to the foundations of symplectic geometry. We will discuss a motivating example—Hamiltonian mechanics—before defining what it means to be symplectic. Afterwards we will study some consequences of the general definitions. Importantly, we will show that locally, all symplectic spaces look the same: there are no local symplectic invariants! This is a consequence of...
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Donald Huber-Youmans (Heidelberg University)15/07/2024, 11:00
This course is an introduction to the foundations of symplectic geometry. We will discuss a motivating example—Hamiltonian mechanics—before defining what it means to be symplectic. Afterwards we will study some consequences of the general definitions. Importantly, we will show that locally, all symplectic spaces look the same: there are no local symplectic invariants! This is a consequence of...
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Alexander Thomas (Heidelberg University)15/07/2024, 16:15
After the introductory course in symplectic geometry, we analyze symplectic manifolds which are symmetric under the action of a Lie group, leading in particular to the symplectic quotient construction. The important concept is the notion of the moment map, generalizing the concept of momentum and angular momentum in classical mechanics, and capturing all preserved quantities coming from...
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Alexander Thomas (Heidelberg University)15/07/2024, 17:15
After the introductory course in symplectic geometry, we analyze symplectic manifolds which are symmetric under the action of a Lie group, leading in particular to the symplectic quotient construction. The important concept is the notion of the moment map, generalizing the concept of momentum and angular momentum in classical mechanics, and capturing all preserved quantities coming from...
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Alexander Thomas (Heidelberg University)15/07/2024, 18:15
After the introductory course in symplectic geometry, we analyze symplectic manifolds which are symmetric under the action of a Lie group, leading in particular to the symplectic quotient construction. The important concept is the notion of the moment map, generalizing the concept of momentum and angular momentum in classical mechanics, and capturing all preserved quantities coming from...
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Nikita Nikolaev (University of Birmingham)16/07/2024, 09:00
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Nikita Nikolaev (University of Birmingham)16/07/2024, 10:00
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Nikita Nikolaev (University of Birmingham)16/07/2024, 11:00
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Donald Huber-Youmans16/07/2024, 16:15
This course is an excursion into the marvelous world of supergeometry which plays an important role in mathematics and physics. On one hand, it is a natural, albeit at first glance unintuitive, generalization of ordinary geometry. On the other hand it plays a pivotal role in the theory of supersymmetry. Naively, one can replace “super” by “Z/2Z”-graded, alongside introducing the Koszul...
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Donald Huber-Youmans16/07/2024, 17:15
This course is an excursion into the marvelous world of supergeometry which plays an important role in mathematics and physics. On one hand, it is a natural, albeit at first glance unintuitive, generalization of ordinary geometry. On the other hand it plays a pivotal role in the theory of supersymmetry. Naively, one can replace “super” by “Z/2Z”-graded, alongside introducing the Koszul...
Go to contribution page -
Donald Huber-Youmans16/07/2024, 18:15
This course is an excursion into the marvelous world of supergeometry which plays an important role in mathematics and physics. On one hand, it is a natural, albeit at first glance unintuitive, generalization of ordinary geometry. On the other hand it plays a pivotal role in the theory of supersymmetry. Naively, one can replace “super” by “Z/2Z”-graded, alongside introducing the Koszul...
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Olga Chekeres18/07/2024, 09:00
Differential geometry in 1, 2, 3 and more dimensions.
Imagine an n-dimensional Riemannian manifold and then set n=1, 2, 3, 4+.Prerequisites: Come as you are. Understanding the notion of a differentiable manifold is assumed though.
Consequences: To embrace the mightiness of general relativity prepared thou shall be.
Key words: Riemannian and pseudo-Riemannian manifolds, metric...
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Olga Chekeres18/07/2024, 10:00
Differential geometry in 1, 2, 3 and more dimensions.
Imagine an n-dimensional Riemannian manifold and then set n=1, 2, 3, 4+.Prerequisites: Come as you are. Understanding the notion of a differentiable manifold is assumed though.
Consequences: To embrace the mightiness of general relativity prepared thou shall be.
Key words: Riemannian and pseudo-Riemannian manifolds, metric...
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Olga Chekeres18/07/2024, 11:00
Differential geometry in 1, 2, 3 and more dimensions.
Imagine an n-dimensional Riemannian manifold and then set n=1, 2, 3, 4+.Prerequisites: Come as you are. Understanding the notion of a differentiable manifold is assumed though.
Consequences: To embrace the mightiness of general relativity prepared thou shall be.
Key words: Riemannian and pseudo-Riemannian manifolds, metric...
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Fridrich Valach (University of Hertfordshire)18/07/2024, 16:15
Abstract: General relativity is a beautifully geometric and mathematically rigorous theory describing our universe on large scales, where gravity plays a crucial role. After an introduction to differential and Riemannian geometry we will look in more detail at the mathematical underpinnings of this theory and talk about geodesics, normal coordinates, Einstein equations, and other interesting...
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Fridrich Valach (University of Hertfordshire)18/07/2024, 17:15
Abstract: General relativity is a beautifully geometric and mathematically rigorous theory describing our universe on large scales, where gravity plays a crucial role. After an introduction to differential and Riemannian geometry we will look in more detail at the mathematical underpinnings of this theory and talk about geodesics, normal coordinates, Einstein equations, and other interesting...
Go to contribution page -
Fridrich Valach (University of Hertfordshire)18/07/2024, 18:15
Abstract: General relativity is a beautifully geometric and mathematically rigorous theory describing our universe on large scales, where gravity plays a crucial role. After an introduction to differential and Riemannian geometry we will look in more detail at the mathematical underpinnings of this theory and talk about geodesics, normal coordinates, Einstein equations, and other interesting...
Go to contribution page -
Nikita Nikolaev (University of Birmingham)19/07/2024, 09:00
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Nikita Nikolaev (University of Birmingham)19/07/2024, 10:00
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Nikita Nikolaev (University of Birmingham)19/07/2024, 11:00
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Chiara Saffirio (University of Basel)
After a quick introduction on the physical background of superconductivity and its phenomenological models, I will address the mathematical formalism leading to the derivation of the Bardeen-Cooper-Schrieffer functional, present the state of the art and comment on open problems and possible research directions.
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Chiara Saffirio (University of Basel)
After a quick introduction on the physical background of superconductivity and its phenomenological models, I will address the mathematical formalism leading to the derivation of the Bardeen-Cooper-Schrieffer functional, present the state of the art and comment on open problems and possible research directions.
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Chiara Saffirio (University of Basel)
After a quick introduction on the physical background of superconductivity and its phenomenological models, I will address the mathematical formalism leading to the derivation of the Bardeen-Cooper-Schrieffer functional, present the state of the art and comment on open problems and possible research directions.
Go to contribution page
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