Vector bundles | Riemann surfaces
In mathematics, the Quillen determinant line bundle is a line bundle over the space of Cauchy–Riemann operators of a vector bundle over a Riemann surface, introduced by Quillen. Quillen proved the existence of the Quillen metric on the determinant line bundle, a Hermitian metric defined using the analytic torsion of a family of differential operators. (Wikipedia).
Derivative of h(x) = (f(x)g(x))/(f(x) + g(x))
Derivative of h(x) = (f(x)g(x))/(f(x) + g(x)). This is a calculus problem where we find the derivative. We use both the quotient and the product rule for derivatives. If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsor
From playlist Derivatives with the Product and Quotient Rules
The Quillen Determinant Bundle and Geometric Quantization of Various Moduli Spaces by Rukmini Dey
Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio
From playlist Higgs Bundles
Masoud Khalkhali: Curvature of the determinant line bundle for noncommutative tori
I shall first survey recent progress in understanding differential and conformal geometry of curved noncommutative tori. This is based on work of Connes-Tretkoff, Connes-Moscovici, and Fathizadeh and myself. Among other results I shall recall the computation of spectral invariants, includi
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Find the Derivative of f(x) = (c^2 - x^2)/(c^2 + x^2) using the Quotient Rule
Find the Derivative of f(x) = (c^2 - x^2)/(c^2 + x^2) using the Quotient Rule If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorcerer There are several
From playlist Larson Calculus Section 2.3 Product and Quotient Rules and Higher-Order Derivatives Solutions
Ex: Determine the Equation of a Tangent Line to Using the Quotient Rule Involving a Trig Function
This video provides an example of how to determine the equation of a tangent line using the quotient rule that involves a trigonometric function. Complete Video List at http://www.mathispower4u.com
From playlist Differentiation Using the Quotient Rule
The Product and Quotient Rule With Trigonometric Functions
This video explains how to determine the derivatives of trigonometric functions using the product and quotient rule. http://mathispower4u.wordpress.com/
From playlist Differentiation
G. Freixas i Montplet - Automorphic forms and arithmetic intersections (part 2)
In these lectures I will focus on the Riemann-Roch theorem in Arakelov geometry, in the specific context of some simple Shimura varieties. For suitable data, the cohomological part of the theorem affords an interpretation in terms of both holomorphic and non-holomorphic modular forms. The
From playlist Ecole d'été 2017 - Géométrie d'Arakelov et applications diophantiennes
How to Find the Derivative of 1/sqrt(x) using the Definition of the Derivative
How to Find the Derivative of 1/sqrt(x) using the Definition of the Derivative If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorcerer There are sever
From playlist Derivatives using the Limit Definition
Compute the Determinant of the 3 x 3 Matrix by Using Properties (One Row is a Multiple of Another)
Compute the Determinant of the 3 x 3 Matrix by Using Properties (One Row is a Multiple of Another) If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorcere
From playlist Determinants
Schemes 33: Vector bundles on the projective line
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. We prove Grothendieck's theorem that all vector bundles over the projective line are sums of line bundles, and compare the category of vector bundles with the
From playlist Algebraic geometry II: Schemes
Yonatan Harpaz - New perspectives in hermitian K-theory I
For questions and discussions of the lecture please go to our discussion forum: https://www.uni-muenster.de/TopologyQA/index.php?qa=k%26l-conference This lecture is part of the event "New perspectives on K- and L-theory", 21-25 September 2020, hosted by Mathematics Münster: https://go.wwu
From playlist New perspectives on K- and L-theory
Geometry of Vortices on Riemann Surfaces (Lecture 4) by Oscar García-Prada
PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie
From playlist Vortex Moduli - 2023
How to Find the Derivative of f(x) = x^2*e^x - 2ln(x) + (x^2 + 1)^3 using the Product and Chain Rule
How to Find the Derivative of f(x) = x^2*e^x - 2ln(x) + (x^2 + 1)^3 using the Product and Chain Rule If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorce
From playlist Derivatives Involving Logarithms and Exponentials
How to Find the Derivative with the Product Rule of y = e^x*ln(x)
How to Find the Derivative with the Product Rule of y = e^x*ln(x) If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorcerer There are several ways that yo
From playlist Derivatives Involving Logarithms and Exponentials
Difference Quotient - How to Simplify (3 Types)
Learn how to simplify the difference quotient in this video math tutorial by Mario's Math Tutoring. We go through 3 examples: one involving fractions, another square roots, and the third one is a quadratic function. We also discuss how if you take the difference quotient one step further
From playlist Difference Quotient & Derivatives
Richard Hain - 3/4 Universal mixed elliptic motives
Prof. Richard HAIN (Duke University, Durham, USA) Universal mixed elliptic motives are certain local systems over a modular curve that are endowed with additional structure, such as that of a variation of mixed Hodge structure. They form a tannakian category. The coordinate ring of its fu
From playlist Richard Hain - Universal mixed elliptic motives
Marc Levine: Refined enumerative geometry (Lecture 1)
The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Marc Levine: Refined enumerative geometry Abstract: Lecture 1: Milnor-Witt sheaves, motivic homotopy theory and Chow-Witt groups We review the Hoplins-Morel construction of the Miln
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Jack Morava: On the group completion of the Burau representation
Abstract: On fundamental groups, the discriminant ∏i≠k(zi – zk) ∈ C^× of a finite collection of points of the plane defines the abelianization homomorphism sending a braid to its number of overcrossings less undercrossings or writhe. In terms of diffeomorphisms of the punctured plane, it
From playlist SMRI Algebra and Geometry Online
Learn How to Find the Equation of the Line Given the X-Intercept and Y-Intercept
Learn How to Find the Equation of the Line Given the X-Intercept and Y-Intercept If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorcerer There are sever
From playlist Linear Functions, Slope, and the Equation of a Line