In mathematics, Fredholm theory is a theory of integral equations. In the narrowest sense, Fredholm theory concerns itself with the solution of the Fredholm integral equation. In a broader sense, the abstract structure of Fredholm's theory is given in terms of the spectral theory of Fredholm operators and Fredholm kernels on Hilbert space. The theory is named in honour of Erik Ivar Fredholm. (Wikipedia).
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From playlist Science Unplugged: General Relativity
From playlist Level 2 NCEA Physics
Einstein's Theory Of Relativity Made Easy
http://facebook.com/ScienceReason ... Albert Einstein's Theory of Relativity (Chapter 1): Introduction. The theory of relativity, or simply relativity, encompasses two theories of Albert Einstein: special relativity and general relativity. However, the word "relativity" is sometimes used
From playlist Science
General Relativity to Quantum gravity (Intro for dummies?)
Support me on Patreon: https://www.patreon.com/quahntasy A brief introduction to Newtonian Gravity(or Gravity for dummies) ,General Relativity and Quantum gravity (Loop Quantum gravity). The whole idea of general relativity is that matter influence spacetime curvature. Incorporating this i
From playlist Gravity
Lecture 2 | String Theory and M-Theory
(September 27, 2010) Professor Leonard Susskind discusses how the forces that act upon strings can affect the quantum mechanics. He also reviews many of the theories of relativity that contributed to string theory today. String theory (with its close relative, M-theory) is the basis for t
From playlist Lecture Collection | String Theory and M-Theory
Albert Einstein, Holograms and Quantum Gravity
In the latest campaign to reconcile Einstein’s theory of gravity with quantum mechanics, many physicists are studying how a higher dimensional space that includes gravity arises like a hologram from a lower dimensional particle theory. Read about the second episode of the new season here:
From playlist In Theory
Lecture 6 | String Theory and M-Theory
(October 25, 2010) Leonard Susskind focuses on the different dimensions of string theory and the effect it has on the theory. String theory (with its close relative, M-theory) is the basis for the most ambitious theories of the physical world. It has profoundly influenced our understanding
From playlist Lecture Collection | String Theory and M-Theory
Hermann Schulz-Baldes: Invariants of disordered topological insulators
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist SPECIAL 7th European congress of Mathematics Berlin 2016.
What is General Relativity? Lesson 69: The Einstein Equation
What is General Relativity? Lesson 69: The Einstein Equation Having done so much work with the Einstein tensor, the interpretation of the Einstein equation is almost anti-climatic! The hard part is finding the Newtonian limit in order to understand the constant of proportionality between
From playlist What is General Relativity?
Christian Bär - Boundary value problems for Dirac operators
This introduction to boundary value problems for Dirac operators will not focus on analytic technicalities but rather provide a working knowledge to anyone who wants to apply the theory, i.e. in the study of positive scalar curvature. We will systematically study "elliptic boundary conditi
From playlist Not Only Scalar Curvature Seminar
J. Fine - Knots, minimal surfaces and J-holomorphic curves
I will describe work in progress, parts of which are joint with Marcelo Alves. Let L be a knot or link in the 3-sphere. I will explain how one can count minimal surfaces in hyperbolic 4-space which have ideal boundary equal to L, and in this way obtain a knot invariant. In other words the
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
J. Fine - Knots, minimal surfaces and J-holomorphic curves (version temporaire)
I will describe work in progress, parts of which are joint with Marcelo Alves. Let L be a knot or link in the 3-sphere. I will explain how one can count minimal surfaces in hyperbolic 4-space which have ideal boundary equal to L, and in this way obtain a knot invariant. In other words the
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
Transversality and super-rigidity in Gromov-Witten Theory (Lecture – 02) by Chris Wendl
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Topological Insulators and the Bulk Edge Correspondence using Fredholm theory
Speakers o Eli Fonseca o Ahmed Sheta o Angela Wang o Kohtaro Yamakawa Project Leader: Jacob Shapiro Abstract: In mathematical physics, the bulk-edge correspondence for topological insulators refers to the fact that certain topological invariants (e.g., Fredholm indices of Fredholm operat
From playlist 2019 Summer REU Presentations
Perturbation methods for nonlinear PDEs (Lecture - 01) by Vishal Vasan
ICTS Lecture by Vishal Vasan on 1, 3, 7, & 8th May, 2019 at 11:00 AM Title : Perturbation methods for nonlinear PDEs Speaker : Vishal Vasan, ICTS – TIFR, Bangalore Date : 01/05/2019 (Lecture 1) 03/05/2019 (Lectu
From playlist Seminar Series
Fredholm theory for higher...non-smooth domains - Irina Mitrea
Irina Mitrea Temple University; von Neumann Fellow, School of Mathematics April 6, 2015 One of the most effective methods for solving boundary value problems for basic elliptic equations of mathematical physics in a given domain is the method of layer potentials. Its essence is to reduce
From playlist Mathematics
Perturbation methods for nonlinear PDEs (Lecture - 04) by Vishal Vasan
ICTS Lecture by Vishal Vasan on 1, 3, 7, & 8th May, 2019 at 11:00 AM Title : Perturbation methods for nonlinear PDEs Speaker : Vishal Vasan, ICTS – TIFR, Bangalore Date : 01/05/2019 (Lecture 1) 03/05/2019 (Lectu
From playlist Seminar Series
Lecture 9 | String Theory and M-Theory
(November 23, 2010) Leonard Susskind gives a lecture on the constraints of string theory and gives a few examples that show how these work. String theory (with its close relative, M-theory) is the basis for the most ambitious theories of the physical world. It has profoundly influenced
From playlist Lecture Collection | String Theory and M-Theory
Lecture 7 | String Theory and M-Theory
(November 1, 2010) Leonard Susskind discusses the specifics of strings including Feynman diagrams and mapping particles. String theory (with its close relative, M-theory) is the basis for the most ambitious theories of the physical world. It has profoundly influenced our understanding of
From playlist Lecture Collection | String Theory and M-Theory
Perturbation methods for nonlinear PDEs (Lecture - 02) by Vishal Vasan
ICTS Lecture by Vishal Vasan on 1, 3, 7, & 8th May, 2019 at 11:00 AM Title : Perturbation methods for nonlinear PDEs Speaker : Vishal Vasan, ICTS – TIFR, Bangalore Date : 01/05/2019 (Lecture 1) 03/05/2019 (Lectu
From playlist Seminar Series