Geometric topology | Quadratic forms

Signature (topology)

In the field of topology, the signature is an integer invariant which is defined for an oriented manifold M of dimension divisible by four. This invariant of a manifold has been studied in detail, starting with Rokhlin's theorem for 4-manifolds, and Hirzebruch signature theorem. (Wikipedia).

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Digital Signatures: Part 1

Fundamental concepts of Digital Signatures are discussed. ElGamal and Schnorr Digital Signature schemes are analyzed. Digital signature standard is presented.

From playlist Network Security

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Topology (What is a Topology?)

What is a Topology? Here is an introduction to one of the main areas in mathematics - Topology. #topology Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, b

From playlist Topology

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Digital Signatures: Part 2

Fundamental concepts of Digital Signatures are discussed. ElGamal and Schnorr Digital Signature schemes are analyzed. Digital signature standard is presented.

From playlist Network Security

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Continuity in Topology

In this video, I cover the notion of continuity, as used in topology. The beautiful thing is that this doesn't use epsilon-delta at all, and instead just something purely geometric. Enjoy this topology-adventure! Topology Playlist: https://youtube.com/playlist?list=PLJb1qAQIrmmA13vj9xkHGG

From playlist Topology

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Topology 1.4 : Product Topology Introduction

In this video, I define the product topology, and introduce the general cartesian product. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet

From playlist Topology

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Sequential Compactness

In this video, I discuss the notion of sequential compactness, which is an important concept used in topology and analogy. I also explain the similarities and differences between sequential compactness and covering compactness. Compactness: https://youtu.be/xiWizwjpt8o Bolzano-Weierstrass

From playlist Topology

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Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri (L1) by Sunil Mukhi

Seminar Lecture Series - Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri Speaker: Sunil Mukhi (IISER Pune) Date : Mon, 20 March 2023 to Fri, 21 April 2023 Venue: Online (Zoom & Youtube) ICTS is pleased to announce special lecture series by Prof. Sunil Mukh

From playlist Lecture Series- Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri -2023

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Hermann Schulz-Baldes: Computational K-theory via the spectral localizer.

Talk by Hermann Schulz-Baldes in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on March 24, 2021

From playlist Global Noncommutative Geometry Seminar (Europe)

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Joshua Wrigley - The Logic and Geometry of Localic Morphisms

Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/WrigleySlidesToposesOnline.pdf In this presentation, a substitutive syntactic site for the classifying topos of a ge

From playlist Toposes online

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Signature of Ground-State Quantum Phase Transition far from Equilibrium by Arnab Das

Open Quantum Systems DATE: 17 July 2017 to 04 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore There have been major recent breakthroughs, both experimental and theoretical, in the field of Open Quantum Systems. The aim of this program is to bring together leaders in the Open Q

From playlist Open Quantum Systems

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Signature Validation - Applied Cryptography

This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.

From playlist Applied Cryptography

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Marc Lackenby - Using machine learning to formulate mathematical conjectures - IPAM at UCLA

Recorded 14 February 2023. Marc Lackenby of the University of Oxford presents "Using machine learning to formulate mathematical conjectures" at IPAM's Machine Assisted Proofs Workshop. Abstract: I will describe how machine learning can be used as a tool for pure mathematicians to formulate

From playlist 2023 Machine Assisted Proofs Workshop

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TQFTs from non-semisimple modular categories and modified traces, Marco de Renzi, Lecture III

Lecture series on modified traces in algebra and topology Topological Quantum Field Theories (TQFTs for short) provide very sophisticated tools for the study of topology in dimension 2 and 3: they contain invariants of 3-manifolds that can be computed by cut-and-paste methods, and their e

From playlist Lecture series on modified traces in algebra and topology

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Markus Banagl : The L-Homology fundamental class for singular spaces and the stratified Novikov

Abstract : An oriented manifold possesses an L-homology fundamental class which is an integral refinement of its Hirzebruch L-class and assembles to the symmetric signature. In joint work with Gerd Laures and James McClure, we give a construction of such an L-homology fundamental class for

From playlist Topology

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Topology 1.3 : Basis for a Topology

In this video, I define what a basis for a topology is. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet

From playlist Topology

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Charles Stine: The Complexity of Shake Slice Knots

Charles Stine, Brandeis University Title: The Complexity of Shake Slice Knots It is a well studied conjecture that a shake slice knot is in fact slice. Many counterexamples have been given, but most are close to being slice in a technical sense. In this talk, we will give a precise way to

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

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Markus Haase : On some operator-theoretic aspects of ergodic theory

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 Dynamical Systems and Ordinary Differential Equations

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Shmuel Weinberger - Some introductory remarks on the Novikov conjecture

I will explain a few simple ideas about the Novikov conjecture and related problems Shmuel Weinberger (University of CHICAGO)

From playlist Not Only Scalar Curvature Seminar

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RSA SIgnature Solution - Applied Cryptography

This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.

From playlist Applied Cryptography

Related pages

Pontryagin class | Kervaire invariant | Invariant (mathematics) | Topology | Ε-quadratic form | Genus of a multiplicative sequence | Hirzebruch signature theorem | Friedrich Hirzebruch | De Rham invariant | Spin structure | Poincaré duality | Cup product | Rokhlin's theorem | Symmetric bilinear form | Connected space | Arf invariant | Polyhedron | Manifold | Quadratic form | L-theory