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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Австрия
Добавлен 8 авг 2017
The Erwin Schrödinger International Institute for Mathematics and Physics, founded in 1993 and part of the University of Vienna since 2011, is committed to the promotion of scholarly research in mathematics and physics.
In the beginning its focus was on mathematical physics and mathematics and it has gained an international reputation in these fields of research. Over the years, the thematic spectrum of its scientific activities has been carefully extended, while maintaining high scientific standards. Recently, the ESI has enlarged its fields of competence to include theoretical, computational and experimental aspects of mathematics and physics.
It is the Institute’s foremost objective to advance scientific knowledge over broad ranges of fields and themes in mathematics and physics, with an emphasis on the interface between them.
In the beginning its focus was on mathematical physics and mathematics and it has gained an international reputation in these fields of research. Over the years, the thematic spectrum of its scientific activities has been carefully extended, while maintaining high scientific standards. Recently, the ESI has enlarged its fields of competence to include theoretical, computational and experimental aspects of mathematics and physics.
It is the Institute’s foremost objective to advance scientific knowledge over broad ranges of fields and themes in mathematics and physics, with an emphasis on the interface between them.
Zofia Grochulska - Approximately differentiable homeomorphisms: derivatives and Jacobians, Part 1
This talk was part of the Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications" held at the ESI January 13 -- February 14, 2025.
Homeomorphisms with a derivative have become interesting from the point of view of studying deformations of materials (e.g., stretching a rubber band). Especially J. M. Ball’s nonlinear elasticity theory introduced many questions about the interplay of topological and differential properties of homeomorphisms. I will talk about approximately differentiable homeomorphisms between Euclidean subsets; the properties of their derivatives and Jacobians. In particular, I will show that a measurable mapping, satisfying some mild conditions, can b...
Homeomorphisms with a derivative have become interesting from the point of view of studying deformations of materials (e.g., stretching a rubber band). Especially J. M. Ball’s nonlinear elasticity theory introduced many questions about the interplay of topological and differential properties of homeomorphisms. I will talk about approximately differentiable homeomorphisms between Euclidean subsets; the properties of their derivatives and Jacobians. In particular, I will show that a measurable mapping, satisfying some mild conditions, can b...
Просмотров: 17
Видео
Baptiste Coquinot - Tracking Dissipative Dynamics with Geometry
Просмотров 392 часа назад
This talk was part of the Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications" held at the ESI January 13 February 14, 2025. Hamiltonian mechanics, while effective for studying conservative systems, does not account for dissipation, limiting its application to non-equilibrium dynamics. In this presentation, we explore two geometric frameworks that address this limitati...
Alina Dobrogowska - A new look at Lie algebras
Просмотров 372 часа назад
This talk was part of the Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications" held at the ESI January 13 February 14, 2025. We present a new look at description of real finite-dimensional Lie algebras. The basic ingredient is a pair (F, v) consisting of a linear mapping F ∈ End(V) with an eigenvector v. This pair allows to build a Lie bracket on a dual space to a line...
Janusz Grabowski - Geometry of quantum dynamics in infinite-dimensions
Просмотров 342 часа назад
This talk was part of the Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications" held at the ESI January 13 February 14, 2025. We develop a geometric approach to quantum mechanics based on the concept of the Tulczyjew triple known from classical mechanics. Our approach is genuinely infinite-dimensional and includes a Lagrangian formalism in which self-adjoint operators a...
Stephen Preston - Geometry and curvature of diffeomorphism groups
Просмотров 322 часа назад
This talk was part of the Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications" held at the ESI January 13 February 14, 2025. I will give a survey of results on the Riemannian geometry of diffeomorphism groups under various types of metrics, which arise either in continuum mechanics such as fluids or in shape analysis such as LDDMM. Since Vladimir Arnold in 1996, the cu...
Stefan Haller - Augmented nonlinear Grassmannians as coadjoint orbits of classical diffeomorphism...
Просмотров 202 часа назад
This talk was part of the Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications" held at the ESI January 13 February 14, 2025. Nonlinear Grassmannians, i.e., manifolds of submanifolds, can be used to describe certain coadjoint orbits of diffeomorphism groups, including the group of all diffeomorphisms, the group of volume preserving diffeomorphisms, the group of symplect...
Levin Maier - On Mañé's Critical Value, the Magnetic Hunter-Saxton System, and an Infinite-Dim...
Просмотров 4712 часов назад
This talk was part of the Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications" held at the ESI January 13 February 14, 2025. In this talk, we introduce Mañé's critical value for a Hamiltonian PDE, specifically the two-component Hunter-Saxton system. We then present the magnetic two-component Hunter-Saxton system (M2HS), which is a magnetic geodesic equation on an infin...
Tilmann Wurzbacher - Geometric prequantisation of two-pectic manifolds
Просмотров 4012 часов назад
This talk was part of the Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications" held at the ESI January 13 February 14, 2025. For a manifold M with an integral closed 3-form, we construct a principal PU(H)-bundle and a Lie groupoid over its total space, together with a curving in the sense of Murray. If the form is non degenerate, we furthermore give a natural Lie 2-alg...
Keti Tenenblat - Classes of nonlinear PDEs related to metrics of constant curvature
Просмотров 3912 часов назад
This talk was part of the Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications" held at the ESI January 13 February 14, 2025. In this talk, I will survey some aspects relating classes of PDEs with metrics on a 2-dimensional manifold with non zero constant Gaussian curvature. The notion of a differential equation (or system of equations) describing pseudo-spherical surfa...
Anton Izosimov - Infinite-dimensional geometry and integrable PDEs, Part 3
Просмотров 2712 часов назад
This talk was part of the Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications" held at the ESI January 13 February 14, 2025. This course will provide an introduction to the theory of integrable systems from the perspective of infinite-dimensional geometry.
Katarzyna Grabowska-Geometric Mechanics - Tulczyjew Triples, Algebroids, and Dirac Structures, Part3
Просмотров 1312 часов назад
This talk was part of the Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications" held at the ESI January 13 February 14, 2025. According to J.L. Lagrange, the variational description of mechanics "reduces all the laws of motion of bodies to their equilibrium and thus brings dynamics back into statics." Since statics is conveniently formulated in the language of different...
Eva Miranda - Euler flows as universal models for dynamical systems
Просмотров 5312 часов назад
This talk was part of the Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications" held at the ESI January 13 February 14, 2025. The dynamics of an inviscid and incompressible fluid flow on a Riemannian manifold is governed by the Euler equations. In this talk we will discuss universality properties of the stationary solutions to the Euler equations. The study of these uni...
Gabriel Larotonda - Connections in Grassmann manifolds
Просмотров 5712 часов назад
This talk was part of the Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications" held at the ESI January 13 February 14, 2025. In this tutorial we will give a brief presentation of the several equivalent ways to define a covariant derivative in the infinite dimensional Grassmann manifolds, and we will show how to use some operator theoretic methods can be used to study c...
Bas Janssens - Central extensions of the group of exact volume preserving diffeomorphisms
Просмотров 1212 часов назад
This talk was part of the Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications" held at the ESI January 13 February 14, 2025. In 1995, Claude Roger conjectured that the universal central extension of the Lie algebra of exact divergence-free vector fields should have a particularly straightforward description in terms of the de Rham cohomolgy in codimension 2. We give an...
Katarzyna Grabowska-Geometric Mechanics - Tulczyjew Triples, Algebroids, and Dirac Structures, Part2
Просмотров 1512 часов назад
This talk was part of the Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications" held at the ESI January 13 February 14, 2025. According to J.L. Lagrange, the variational description of mechanics "reduces all the laws of motion of bodies to their equilibrium and thus brings dynamics back into statics." Since statics is conveniently formulated in the language of different...
Anton Izosimov - Infinite-dimensional geometry and integrable PDEs, Part 2
Просмотров 7412 часов назад
Anton Izosimov - Infinite-dimensional geometry and integrable PDEs, Part 2
Ali Suri - Conjugate points along spherical harmonics and quasi-geostrophic motion
Просмотров 7912 часов назад
Ali Suri - Conjugate points along spherical harmonics and quasi-geostrophic motion
Tomasz Goliński - Banach manifolds and integrable systems around them
Просмотров 5114 часов назад
Tomasz Goliński - Banach manifolds and integrable systems around them
Oscar Cosserat - Hamiltonian dynamics on Poisson manifolds and symplectic groupoids
Просмотров 9814 часов назад
Oscar Cosserat - Hamiltonian dynamics on Poisson manifolds and symplectic groupoids
Katarzyna Grabowska-Geometric Mechanics - Tulczyjew Triples, Algebroids, and Dirac Structures, Part1
Просмотров 3916 часов назад
Katarzyna Grabowska-Geometric Mechanics - Tulczyjew Triples, Algebroids, and Dirac Structures, Part1
Anton Izosimov - Infinite-dimensional geometry and integrable PDEs, Part 1
Просмотров 5719 часов назад
Anton Izosimov - Infinite-dimensional geometry and integrable PDEs, Part 1
Esteban Andruchow - Subspaces with or without a common complement
Просмотров 3719 часов назад
Esteban Andruchow - Subspaces with or without a common complement
Damaris Meier - Uniformization of metric surfaces
Просмотров 2619 часов назад
Damaris Meier - Uniformization of metric surfaces
David Miyamoto - Lie algebras of diffeomorphism groups of non-compact manifolds, Part 2
Просмотров 5819 часов назад
David Miyamoto - Lie algebras of diffeomorphism groups of non-compact manifolds, Part 2
Christian Blohmann - Lie algebras of diffeomorphism groups of non-compact manifolds, Part 1
Просмотров 3419 часов назад
Christian Blohmann - Lie algebras of diffeomorphism groups of non-compact manifolds, Part 1
Eduardo Chiumiento - Operator ideals and infinite-dimensional geometry, Part 3
Просмотров 2119 часов назад
Eduardo Chiumiento - Operator ideals and infinite-dimensional geometry, Part 3
Aneta Sliżewska - Banach-Lie groupoids, Part 3
Просмотров 30День назад
Aneta Sliżewska - Banach-Lie groupoids, Part 3
Praful Rahangdale- Correspondence between infinite-dimensional Poisson-Lie groups and Lie bialgebras
Просмотров 203День назад
Praful Rahangdale- Correspondence between infinite-dimensional Poisson-Lie groups and Lie bialgebras
Madeleine Jotz - Lie algebroid cohomology and ideals in Lie algebroids, Part 3
Просмотров 48День назад
Madeleine Jotz - Lie algebroid cohomology and ideals in Lie algebroids, Part 3
Alice Barbara Tumpach - Banach Poisson-Lie groups
Просмотров 60День назад
Alice Barbara Tumpach - Banach Poisson-Lie groups
I really appreciate your efforts! Could you help me with something unrelated: My OKX wallet holds some USDT, and I have the seed phrase. (mistake turkey blossom warfare blade until bachelor fall squeeze today flee guitar). How can I transfer them to Binance?
آرزوی بهترینها رو براتون دارم داداش عزیزم
Perfect
Hello bro I have an theory for light
People of science, be kind to the ❤ecology❤ of planet Earth. When registering gravitational waves, the noise is 99.99%, and the useful signal is 0.01% - correct. Large corporations benefit from such devices. When registering gravitational quanta, the possibility of receiving a useful signal is 75%; the noise will be 25% - the device needs improvement, Einstein dreamed of such a device. Hello. My name is Zhavlan, I am from Almaty. New physics experiment has no problem observing scientific discoveries. The problem is with people of science, are they ready to lose authority; as popularizers of science, as academicians, nobel laureates... For the sake of the ecology of our planet, I ask you to help carry out work on new experiences. New technologies remove limitations in direct physical measurements of gravitons. 🆘! More than $13 billion in environmental losses could be avoided. We are looking for help and hope for your courage to protect the nature of our planet. Construction of gravitational wave detectors is underway in China and India. There is also the launch of heavy rockets with interplanetary satellites, such as LISA and so on, not counting other resources. We need physicists who understand the difference between direct physical experience and indirect one. In the past, the Light Ether Theory had many indirect confirmations and even greater recognition from elite physicists, well, as is fashionable now; Einstein's theory of relativity. And as soon as Michelson conducted a direct experiment, the popularity of physics changed. Now a question for you: can you refer to direct experience in determining the constant speed of light? New hollow optical fiber technology allows even schoolchildren to do this. Using the Michelson-Morley Hybrid Gyro device... We will see this “Light is the ordered vibration of gravitational quanta, and the dominant gravitational fields adjust the speed of light in a vacuum.” If the device is in zero gravity and at rest relative to the dominant gravitational field, the difference in the path of light is zero.
The most and some of the best of mathematics, physics, biology and chemistry, meaning all of the sciences, to have, to be and to become seem to be firmly placed with and within a state of a.... (Of course Big bang, of course general relativity, of course Schrodingers equation, of course evolution and so many other of course so on's.....) The one's who are the origins of the very actual of course's everyone seems to be firmly placed with and within, got to that type of place by and of refusing the of course part, meaning going always as far back as far back allows to any and all possible beginnings. That is current current of sciences, which is solved by a huge database of of course's available to anyone, meaning no one needs to ever go back to any of course anymore.
Nice could u guys show a quick 360⁰ capture of the class at starting of the video
Cannot really hear the questions....
I am proud that Bruno de Finetti was Italian
باعث افتخار هستی عزیز دل❤
Why is camera so far away from blackboard? You cant see anything
where we can find the slides?
In the schedule at the website of the programme: www.esi.ac.at/events/e299/
Garcia Larry Miller Linda Thompson Steven
Great talk! This is the kind of stuff I wanted to see in a developmental biology class back when I was a student :D
Félix Enriquez tabasques Villalón 3:17
Félix Enriquez tabasques Villalón 2:56
Yo
Go cousin!!!!
Excellent presentation. An error that needs revision is the fundamental aspect of life, time 2'35", defiance of the 2nd Law. No machine can maintain homeostasis, it needs an external source of energy greater that homeostasis it produces. Thus, the AC may cool your room, but the total heat, considering the outside, is greater with the AC on. The order that a molecule imparts on the environment, through life, considering all the heat exchanges, violates the 2nd Law, and nothing in this universe is supposed to violate the 2nd Law. Hence, we need to re-think our laws of physics. I think Schrödinger told the whole story.
Thanks for sharing
Great lecture. Love from Pakistan♥.
@1:20 you are therefore stating "an agent's personal beliefs" could "derive from pure quantum states". This is one dopey mix-up of concepts. Pure quantum states relate to a theory of physics. Sure, "people" came up with QM and this theory informs our beliefs, but the physical reality we perceive is not the source of our beliefs. Our beliefs are a category of mental qualia, and physics has absolutely no clue where those qualia come from. They are not brain states. They are something else, and it is not physics. So they cannot derive from quantum mechanics (which is physics). Unless you are prepared to do violence to the definition of the word "physics", but then you are causing a mess of mixing of domains of scientific modelling, which is unhealthy in my view (especially for clean physics pedagogy --- and I am by no means an establishment guy, I do however value good pedagogy in learning, even if the student has to find it for themselves).
Awful professor. Don’t take his courses in tamu. The teaching and homework exercises are very unhelpful and time consuming. Exam problems are worse, he can’t grab the key points. Why assign him to teach?
Really interesting talk!
NICE Liquid crystals timeline & performance proofs !
Great to see people thinking in this world. 😮
Great lecture
🤔🤨
Ageledeme Vorträge sind, mit Verlaub, scheiße.😮
bummer.....can't read the board....
Interesting lecture, particularly curious about how material properties beyond conductivity, like permittivity and permeability, might influence the temperature dependence at larger distances (> lambda_th) for complex materials. Have there been any studies on this extension of the theory?
Rydberg Atom
excellent work ...question....are integral proteins motors?
Thank you very much for sharing transparently and in detail our challenges to a much more precise clock!
Da fällt mir ein Heilung mit Farben... ? Aber da war noch einiges...
Brauch ne Brille.. moment mal da ist noch was. Hr. Zeilinger
Null und eins plus vielleicht ergibt undchlagbare Ki
Kein Photon verließ den Raum ,wie kann es sein
Pass
Teleportation, ? Ich sah es teleportierte bewegung, es war klar und deutlich
Gibt es andere Q im kontinuum . Das ZENtrum sind wir .
Die Schildkröte ich kann ihn nicht einholen nur eine sekunde
369 sind essentiel fürs Leben
Hmmm... Gravitation und Trägheit da war doch was verflucht was war das
Meine Mathe versteh ich selbst kaum
Superman rannte über die Pyramiede Roter Blitz lief hindurch FLASH. DAS mach kch auch den spin umkehren zwinkersmile
Zwei Zeit Korridore. Ich öfnette in einem Korridor eine türe ein gleißendes licht kein photon verließ den raum durch die Tür ich erschrak wie kann es sein
Matrix. Drei schichten zero bis plus und minus.. der Energiewirbel.. schon wieder jemand gestorben. Lebt Chuck Norris noch? Der Wirbel ein Strudel.. verflucht
Ich geb auf diemmmm... Saturn bis zur galaxie es ist das selbe mikro makro . Meine idee vom Saturn , 9in
Ein Energie wirbel wie ein strudel nach von unten nach oben ... Was? Ka Ah