Theorems in topology | Quadratic forms | Differential topology
In mathematics, and especially differential topology and gauge theory, Donaldson's theorem states that a definite intersection form of a compact, oriented, smooth manifold of dimension 4 is diagonalisable. If the intersection form is positive (negative) definite, it can be diagonalized to the identity matrix (negative identity matrix) over the integers. The original version of the theorem required the manifold to be simply connected, but it was later improved to apply to 4-manifolds with any fundamental group. (Wikipedia).
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
Davesh Maulik - Introduction to Donaldson-Thomas theory (Part 1)
We will give an introduction to Donaldson-Thomas theory and some basic tools and computations. In the last lecture, we hope to explain some aspects of the proof of the GW/DT correspondence for toric threefolds
From playlist École d’été 2011 - Modules de courbes et théorie de Gromov-Witten
Calculus - The Fundamental Theorem, Part 3
The Fundamental Theorem of Calculus. Specific examples of simple functions, and how the antiderivative of these functions relates to the area under the graph.
From playlist Calculus - The Fundamental Theorem of Calculus
Davesh Maulik - Introduction to Donaldson-Thomas theory (Part 3)
We will give an introduction to Donaldson-Thomas theory and some basic tools and computations. In the last lecture, we hope to explain some aspects of the proof of the GW/DT correspondence for toric threefolds.
From playlist École d’été 2011 - Modules de courbes et théorie de Gromov-Witten
Calculus - The Fundamental Theorem, Part 2
The Fundamental Theorem of Calculus. A discussion of the antiderivative function and how it relates to the area under a graph.
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
Calculus: The Fundamental Theorem of Calculus
This is the second of two videos discussing Section 5.3 from Briggs/Cochran Calculus. In this section, I discuss both parts of the Fundamental Theorem of Calculus. I briefly discuss why the theorem is true, and work through several examples applying the theorem.
From playlist Calculus
The Bogomolov-Gieseker inequality and geography of moduli (Lecture 2) by Carlos Simpson
INFOSYS-ICTS RAMANUJAN LECTURES EXPLORING MODULI SPEAKER: Carlos Simpson (Université Nice-Sophia Antipolis, France) DATE: 10 February 2020 to 14 February 2020 VENUE: Madhava Lecture Hall, ICTS Campus Lecture 1: Exploring Moduli: basic constructions and examples 4 PM, 10 February 2020
From playlist Infosys-ICTS Ramanujan Lectures
Duncan McCoy - Lattices, embeddings and Seifert fibered spaces
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The Second Fundamental Theorem of Calculus
This video introduces and provides some examples of how to apply the Second Fundamental Theorem of Calculus. Site: http://mathispower4u.com
From playlist The Second Fundamental Theorem of Calculus
Bourbaki - 24/01/15 - 4/4 - Philippe EYSSIDIEUX
Métriques de Kähler-Einstein sur les variétés de Fano [d'après Chen-Donaldson-Sun et Tian]
From playlist Bourbaki - 24 janvier 2015
L^2 methods, projective embeddings and Kahler-Einstein metrics (Lecture 2)by Ved Datar
PROGRAM CAUCHY-RIEMANN EQUATIONS IN HIGHER DIMENSIONS ORGANIZERS: Sivaguru, Diganta Borah and Debraj Chakrabarti DATE: 15 July 2019 to 02 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Complex analysis is one of the central areas of modern mathematics, and deals with holomo
From playlist Cauchy-Riemann Equations in Higher Dimensions 2019
L^2 methods, projective embeddings and Kahler-Einstein metrics (Lecture 1)by Ved Datar
PROGRAM CAUCHY-RIEMANN EQUATIONS IN HIGHER DIMENSIONS ORGANIZERS: Sivaguru, Diganta Borah and Debraj Chakrabarti DATE: 15 July 2019 to 02 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Complex analysis is one of the central areas of modern mathematics, and deals with holomo
From playlist Cauchy-Riemann Equations in Higher Dimensions 2019
Orientations for Moduli Spaces in Higher-Dimensional Gauge Theory by Markus Upmeier
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From playlist Analytic and Algebraic Geometry-2018
Simon Donaldson | Applications of the Hormander technique in Kahler-Einstein geometry | 2012
Created: 2012-04-24 09:46 Collection: Workshop on Kahler Geometry Publisher: University of Cambridge Language: eng (English) Author: Simon Donaldson https://www.sms.cam.ac.uk/media/1247397
From playlist Mathematics
The Abel Prize announcement 2019 - Karen Uhlenbeck
0:48 Introduction by Jim Al-Khalili, British physicist and science communicator 2:38 The Abel Prize announced by Hans Petter Graver, President of The Norwegian Academy of Science and Letters 3:44 Citation by Hans Munthe-Kaas, Chair of the Abel committee 12:06 Popular presentation of the pr
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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
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The Vortex Ansatz as a Fertile Testing Ground for Certain Systems of PDEs by Vamsi Pingali
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
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Calculus 5.3 The Fundamental Theorem of Calculus
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
Developments in 4-manifold topology arising from a theorem of Donaldson's - John Morgan [2017]
slides for this talk: https://drive.google.com/file/d/1_wHviPab9klzwE4UkCOvVecyopxDsZA3/view?usp=sharing Name: John Morgan Event: Workshop: Geometry of Manifolds Event URL: view webpage Title: Developments in 4-manifold topology arising from a theorem of Donaldson's Date: 2017-10-23 @9:3
From playlist Mathematics