Discrete Math - 4.1.1 Divisibility
The definition and properties of divisibility with proofs of several properties. Formulas for quotient and remainder, leading into modular arithmetic. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNU
From playlist Discrete Math I (Entire Course)
Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg
In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t
From playlist Algebraic Calculus One
Applications of analysis to fractional differential equations
I show how to apply theorems from analysis to fractional differential equations. The ideas feature the Arzela-Ascoli theorem and Weierstrass' approximation theorem, leading to a new approach for solvability of certain fractional differential equations. When do fractional differential equ
From playlist Mathematical analysis and applications
Apply the FTOC to evaluate the integral with functions as the bounds
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of the integral of a function yields the original funct
From playlist Evaluate Using The Second Fundamental Theorem of Calculus
Aaron Silberstein - Plane Curve Singularities and the Absolute Galois Group of Q
Plane Curve Singularities and the Absolute Galois Group of Q
From playlist Center of Math Research: the Worldwide Lecture Seminar Series
Learn to evaluate the integral with functions as bounds
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of the integral of a function yields the original funct
From playlist Evaluate Using The Second Fundamental Theorem of Calculus
(Practice Takes) Deligne-Illusie as Kodaira-Spencer - Part 1 - April 2021
This is for the Berkeley Arithmetic Geometry Seminar and is based on Joint Work with DZB.
From playlist Seminar Talks
Second ftc example with cube root
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of the integral of a function yields the original funct
From playlist Evaluate Using The Second Fundamental Theorem of Calculus
Second FTC example with cube root
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of the integral of a function yields the original funct
From playlist Evaluate Using The Second Fundamental Theorem of Calculus
On a universal Torelli theorem for elliptic surfaces by CS Rajan
12 December 2016 to 22 December 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore The Birch and Swinnerton-Dyer conjecture is a striking example of conjectures in number theory, specifically in arithmetic geometry, that has abundant numerical evidence but not a complete general solution.
From playlist Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture
Anderson Vera - A double Johnson filtration for the mapping class group
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Anderson Vera, Pohang University of Science and Technology (POSTECH - BK21 FOUR Mathematical Sciences Division) Title: A double Johnson filtration for the mapping class group and the Goeritz group of the sphere Abstract: I
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
Martin Olsson - Derived Torelli theorem for K3 surfaces
Classical Torelli theorems are in their very formulation restricted to complex algebraic varieties. In this talk I will discuss a Torelli-type theorem for K3 surfaces in positive characteristic using the derived category of coherent sheaves as a substitute for the integral structure on Bet
From playlist A conference in honor of Arthur Ogus on the occasion of his 70th birthday
Hodge theory and derived categories of cubic fourfolds - Richard Thomas
Richard Thomas Imperial College London September 16, 2014 Cubic fourfolds behave in many ways like K3 surfaces. Certain cubics - conjecturally, the ones that are rational - have specific K3s associated to them geometrically. Hassett has studied cubics with K3s associated to them at the le
From playlist Mathematics
Claire Voisin - Schiffer variations of hypersurfaces and the generic Torelli theorem - WAGON
The generic Torelli theorem for hypersurfaces of degree d and dimension n-1 was proved by Donagi in the 90's. It works under the assumption that d is at least 7 and d does not divide n+1, which in particular excludes the Calabi-Yau case in all dimensions. We prove that the generic Torelli
From playlist WAGON
Extending the Prym map - Samuel Grushevsky
Samuel Grushevsky Stony Brook University February 10, 2015 The Torelli map associates to a genus g curve its Jacobian - a gg-dimensional principally polarized abelian variety. It turns out, by the works of Mumford and Namikawa in the 1970s (resp. Alexeev and Brunyate in 2010s), that the T
From playlist Mathematics
Math 131 111416 Sequences of Functions: Pointwise and Uniform Convergence
Definition of pointwise convergence. Examples, nonexamples. Pointwise convergence does not preserve continuity, differentiability, or integrability, or commute with differentiation or integration. Uniform convergence. Cauchy criterion for uniform convergence. Weierstrass M-test to imp
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
Stability conditions in symplectic topology – Ivan Smith – ICM2018
Geometry Invited Lecture 5.8 Stability conditions in symplectic topology Ivan Smith Abstract: We discuss potential (largely speculative) applications of Bridgeland’s theory of stability conditions to symplectic mapping class groups. ICM 2018 – International Congress of Mathematicians
From playlist Geometry
(Some) Generic Properties of (Some) Infinite Groups - Igor Rivin
(Some) Generic Properties of (Some) Infinite Groups - Igor Rivin Temple University; Member, School of Mathematics November 29, 2010 This talk will be a biased survey of recent work on various properties of elements of infinite groups, which can be shown to hold with high probability once t
From playlist Mathematics
Divergence Theorem. In this video, I give an example of the divergence theorem, also known as the Gauss-Green theorem, which helps us simplify surface integrals tremendously. It's, in my opinion, the most important theorem in multivariable calculus. It is also extremely useful in physics,
From playlist Vector Calculus