Fredholm theory | Banach spaces | Topology of function spaces
In mathematics, a Fredholm kernel is a certain type of a kernel on a Banach space, associated with nuclear operators on the Banach space. They are an abstraction of the idea of the Fredholm integral equation and the Fredholm operator, and are one of the objects of study in Fredholm theory. Fredholm kernels are named in honour of Erik Ivar Fredholm. Much of the abstract theory of Fredholm kernels was developed by Alexander Grothendieck and published in 1955. (Wikipedia).
The Bergman kernel of the polydisk and the ball
I compute the Bergman kernel of the unit polydisk and the unit Euclidean ball. For my previous video on the Bergman kernel see https://www.youtube.com/watch?v=loIC28LNgNM
From playlist Several Complex Variables
I introduce the Bergman kernel of a domain and study its first properties. For more on this topic see Chapter 1.4 of Krantz's "Function theory of several complex variables."
From playlist Several Complex Variables
Kernel of a group homomorphism
In this video I introduce the definition of a kernel of a group homomorphism. It is simply the set of all elements in a group that map to the identity element in a second group under the homomorphism. The video also contain the proofs to show that the kernel is a normal subgroup.
From playlist Abstract algebra
SVM Kernels : Data Science Concepts
A backdoor into higher dimensions. SVM Dual Video: https://www.youtube.com/watch?v=6-ntMIaJpm0 My Patreon : https://www.patreon.com/user?u=49277905
From playlist Data Science Concepts
Radial Basis Function Kernel : Data Science Concepts
The *most powerful* kernel in all the land. SVM Kernels Video: https://youtu.be/OKFMZQyDROI My Patreon : https://www.patreon.com/user?u=49277905
From playlist Data Science Concepts
Kernel Recipes 2018 - Knowing the definition of Linux kernel to...- Vaishali Thakkar
Self learning is underrated in the modern era of education. While kernel being the heart of an operating system, traditional universities [in India] are still far away from teaching anything more than the definition of Linux Kernel. The talk will mostly focus on my journey of self learning
From playlist Kernel Recipes 2018
Twitch: https://www.twitch.tv/leioslabs #clips #twitch #shorts
From playlist clips
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
Kernel Recipes 2022 - Checking your work: validating the kernel by building and testing in CI
The Linux kernel is one of the most complex pieces of software ever written. Being in ring 0, bugs in the kernel are a big problem, so having confidence in the correctness and robustness of the kernel is incredibly important. This is difficult enough for a single version and configuration
From playlist Kernel Recipes 2022
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
Ubuntu 17.04 "Zesty Zapus" Review - Bye Unity
Ubuntu is a Debian-based Linux operating system for personal computers, tablets and smartphones, where Ubuntu Touch edition is used; and also runs network servers, usually with the Ubuntu Server edition, either on physical or virtual servers (such as on mainframes) or with containers, tha
From playlist Linux
Transversality and super-rigidity in Gromov-Witten Theory (Lecture - 04) 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
Transversality and super-rigidity in Gromov-Witten Theory (Lecture - 03) 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
Jan de Gier: "Current distribution for a two-species particle model from first principles"
Asymptotic Algebraic Combinatorics 2020 "Current distribution for a two-species particle model from first principles" Jan de Gier - University of Melbourne Abstract: We derive a joint universal KPZ current distribution from first principles in the integrable two-species Arndt-Heinzel-Rit
From playlist Asymptotic Algebraic Combinatorics 2020
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.
Paolo Piazza: Proper actions of Lie groups and numeric invariants of Dirac operators
HYBRID EVENT shall explain how to define and investigate primary and secondary invariants of G-invariant Dirac operators on a cocompact G-proper manifold, with G a connected real reductive Lie group. This involves cyclic cohomology and Ktheory. After treating the case of cyclic cocycles a
From playlist Lie Theory and Generalizations
Jacob Shapiro: "Two-Dimensional Time-Reversal-Invariant Topological Insulators via Fredholm Theory"
Theory and Computation for 2D Materials "Two-Dimensional Time-Reversal-Invariant Topological Insulators via Fredholm Theory" Jacob Shapiro, Princeton University Abstract: We study spinful non-interacting electrons moving in two-dimensional materials which exhibit a spectral gap about the
From playlist Theory and Computation for 2D Materials 2020
Daniel Remenik: The KPZ fixed point - Part 2
Abstract: In these lectures I will present the recent construction of the KPZ fixed point, which is the scaling invariant Markov process conjectured to arise as the universal scaling limit of all models in the KPZ universality class, and which contains all the fluctuation behavior seen in
From playlist Probability and Statistics
Support Vector Machines Part 3: The Radial (RBF) Kernel (Part 3 of 3)
Support Vector Machines use kernel functions to do all the hard work and this StatQuest dives deep into one of the most popular: The Radial (RBF) Kernel. We talk about the parameter values, how they calculate high-dimensional coordinates and then we'll figure out, step-by-step, how the Rad
From playlist Support Vector Machines
Daniel Remenik: The KPZ fixed point - Part 1
Abstract: In these lectures I will present the recent construction of the KPZ fixed point, which is the scaling invariant Markov process conjectured to arise as the universal scaling limit of all models in the KPZ universality class, and which contains all the fluctuation behavior seen in
From playlist Probability and Statistics