Search results “Algebraic geometry in coding theory and cryptography”

(NOTE: This new upload has improved audio; the initial upload had 267 views)
JOHN VOIGHT
John Voight is an assistant professor of mathematics and computer science. His research interests include computational and algorithmic aspects of number theory and arithmetic algebraic geometry, with applications in cryptography and coding theory.
About TEDx
In the spirit of ideas worth spreading, TEDx is a program of local, self-organized events that bring people together to share a TED-like experience. At a TEDx event, TEDTalks video and live speakers combine to spark deep discussion and connection in a small group. These local, self-organized events are branded TEDx, where x = independently organized TED event. The TED Conference provides general guidance for the TEDx program, but individual TEDx events are self-organized.* (*Subject to certain rules and regulations)

Views: 2057
TEDx Talks

AGNES is a series of weekend workshops in algebraic geometry. One of our goals is to introduce graduate students to a broad spectrum of current research in algebraic geometry. AGNES is held twice a year at participating universities in the Northeast.
Lecture presented by Kristin Lauter.

Views: 1506
Brown University

Computer Science/Discrete Mathematics Seminar
Topic: Algebraic geometric codes and their applications
Speaker: Gil Cohen
Affiliation: Princeton University
For more videos, visit http://video.ias.edu

Views: 1172
Institute for Advanced Study

You may download the slides referred in the video here: https://docs.google.com/presentation/d/1242hfrxTJ1PpHlKymZHExis9PeH5OBi9UtZL8cKX04M/edit?usp=sharing
The lecture was conducted on the Day 3 of the training camp. More details about the series of lectures and assignments given on Day 3 can be found here: https://blog.codechef.com/2016/07/17/snackdown-training-camp-day-3/

Views: 7069
CodeChef

Dan Boneh, Stanford University
Theoretically Speaking Series
http://simons.berkeley.edu/events/theoretically-speaking-dan-boneh
Theoretically Speaking is produced by the Simons Institute for the Theory of Computing, with sponsorship from the Mathematical Sciences Research Institute (MSRI) and Berkeley City College. These presentations are supported in part by an award from the Simons Foundation.

Views: 13210
Simons Institute

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:
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Let X be a projective variety over a field k. Chow groups are defined as the quotient of a free group generated by irreducible subvarieties (of fixed dimension) by some equivalence relation (called rational equivalence). These groups carry many information on X but are in general very difficult to study. On the other hand, one can associate to X several cohomology groups which are "linear" objects and hence are rather simple to understand. One then construct maps called "cycle class maps" from Chow groups to several cohomological theories.
In this talk, we focus on the case of a variety X over a finite field. In this case, Tate conjecture claims the surjectivity of the cycle class map with rational coefficients; this conjecture is still widely open. In case of integral coefficients, we speak about the integral version of the conjecture and we know several counterexamples for the surjectivity. In this talk, we present a survey of some well-known results on this subject and discuss other properties of algebraic cycles which are either proved or expected to be true. We also discuss several involved methods.
Recording during the thematic meeting: ''Arithmetics, geometry, cryptography and coding theory'' » the May 18, 2015 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent

Views: 1508
Centre International de Rencontres Mathématiques

This video explores the Theory and Algorithm research group at the university of Bristol through an interview with the head of the group, Dr Raphael Clifford.

Views: 100
AzitaGhassemi Media

This video explores the Cryptography research group at the University of Bristol through an interview with the head of the group, Prof. Nigel Smart.

Views: 35
AzitaGhassemi Media

Trainer: Mehdi Rahman, Ex-Contestant, DU.

Views: 1160
Bangladesh Advanced Computing Society - BACS

Learn more at: http://www.springer.com/978-3-319-22320-9.
First book that covers all four areas: cryptography, coding theory, quasi-Monte Carlo methods, pseudo-random numbers.
Contains material for courses on number theory, cryptography, coding theory and quasi-Monte Carlo methods.
Builds a bridge from basic number theory to recent research in applied number theory.

Views: 115
SpringerVideos

Cyclic groups are the building blocks of abelian groups. There are finite and infinite cyclic groups. In this video we will define cyclic groups, give a list of all cyclic groups, talk about the name “cyclic,” and see why they are so essential in abstract algebra.
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We recommend the following textbooks:
Dummit & Foote, Abstract Algebra 3rd Edition
http://amzn.to/2oOBd5S
Milne, Algebra Course Notes (available free online)
http://www.jmilne.org/math/CourseNotes/index.html
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Teaching Assistant: Liliana de Castro
Written & Directed by Michael Harrison
Produced by Kimberly Hatch Harrison

Views: 105196
Socratica

Introduction to Geometric (Clifford) algebra. Interpretation of products of unit vectors, rules for reducing products of unit vectors, and the axioms that justify those rules.

Views: 2258
Peeter Joot

Coding theory is the study of the properties of codes and their fitness for a specific application. Codes are used for data compression, cryptography, error-correction and more recently also for network coding. Codes are studied by various scientific disciplines—such as information theory, electrical engineering, mathematics, linguistics, and computer science—for the purpose of designing efficient and reliable data transmission methods. This typically involves the removal of redundancy and the correction of errors in the transmitted data.
This video is targeted to blind users.
Attribution:
Article text available under CC-BY-SA
Creative Commons image source in video

Views: 239
Audiopedia

Using Grobner bases to perform Gaussian elimination on non-linear systems, apply the Euclidean algorithm to multivariate systems and run the Simplex algorithm in a minimisation problem.

Views: 3024
logicmonkeyuk

Vinod Vaikuntanathan, Massachusetts Institute of Technology
Cryptography Boot Camp
http://simons.berkeley.edu/talks/vinod-vaikuntanathan-2015-05-18b

Views: 2630
Simons Institute

Light-cone lattice, quantum affine algebras, and the modular double | Курс: Mathematical Physics: Past, Present and Future | Лектор: Joerg Teschner | Организатор: -еждународный математический институт им. Л. Эйлера
Смотрите это видео на Лекториуме: https://lektorium.tv/lecture/23193
Подписывайтесь на канал: https://www.lektorium.tv/ZJA
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Views: 364
Лекториум

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[hindi] what is cryptography ?
Classical cryptography - stacey jeffery - qcsys 2011.This talk will introduce a couple of less well known applications of cryptography.
Application to cryptography (screencast 3.
Spies used to meet in the park to exchange code words now things have moved on - robert miles explains the principle of public/private key cryptography..Also a simple example of how cryptography is applied in web browsers....
His research interests include computational and algorithmic aspects of number theory and arithmetic algebraic geometry with applications in cryptography and coding theory.
Interesting primitives/applications of cryptography | o s l bhavana | csauss17.
Prime numbers & public key cryptography.Understand the basics of cryptography and the concept of symmetric or private key and asymmetric or public key cryptography.
Interesting primitives/applications of cryptography | o s l bhavana | csauss17.Application to cryptography (screencast 3.
Public key cryptography - computerphile.

Views: 0
Real Crypto Trading

Avi Wigderson
Institute for Advanced Study
March 5, 2012
A classical theorem in Euclidean geometry asserts that if a set of points has the property that every line through two of them contains a third point, then they must all be on the same line. We prove several approximate versions of this theorem (and related ones), which are motivated from questions about locally correctable codes and matrix rigidity. The proofs use an interesting combination of combinatorial, algebraic and analytic tools.
Joint work with Boaz Barak, Zeev Dvir and Amir Yehudayoff
For more videos, visit http://video.ias.edu

Views: 73
Institute for Advanced Study

For slides, a problem set and more on learning cryptography, visit www.crypto-textbook.com

Views: 101189
Introduction to Cryptography by Christof Paar

2006 ISIT Plenary Talk
What's New and Exciting in Algebraic and Combinatorial Coding Theory?
Alexander Vardy
University of California San Diego
We will survey the field of algebraic and combinatorial coding theory, in an attempt to answer the question in the title. In particular, we shall revisit classical problems that are yet unsolved, review promising advances in the past decade, elaborate upon recent connections to other areas, and speculate what may lie ahead for the field.

Views: 281
IEEE Information Theory Society

David Zuckerman
University of Texas at Austin; Institute for Advanced Study
February 7, 2012
A randomness extractor is an efficient algorithm which extracts high-quality randomness from a low-quality random source. Randomness extractors have important applications in a wide variety of areas, including pseudorandomness, cryptography, expander graphs, coding theory, and inapproximability. In this talk, we survey the field of randomness extraction and discuss connections with other areas.
For more videos, visit http://video.ias.edu

Views: 239
Institute for Advanced Study

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Also a simple example of how cryptography is applied in web browsers....
Application to cryptography (screencast 3.
Interesting primitives/applications of cryptography | o s l bhavana | csauss17.
Public key cryptography - computerphile.
[hindi] what is cryptography ?
His research interests include computational and algorithmic aspects of number theory and arithmetic algebraic geometry with applications in cryptography and coding theory.Understand the basics of cryptography and the concept of symmetric or private key and asymmetric or public key cryptography.Application to cryptography (screencast 3.
Spies used to meet in the park to exchange code words now things have moved on - robert miles explains the principle of public/private key cryptography..
Classical cryptography - stacey jeffery - qcsys 2011.
Interesting primitives/applications of cryptography | o s l bhavana | csauss17.

Views: 0
Crypto Trade

Amnon Ta-Shma, Tel Aviv University
https://simons.berkeley.edu/talks/amnon-ta-shma-2017-03-07
Proving and Using Pseudorandomness

Views: 362
Simons Institute

MIT 6.042J Mathematics for Computer Science, Spring 2015
View the complete course: http://ocw.mit.edu/6-042JS15
Instructor: Albert R. Meyer
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu

Views: 32510
MIT OpenCourseWare

The mathematical challenge of asymmetry is met via a substitution 'table' over a very large alphabet, where a key is the power to raise a letter of this alphabet to compute another letter in it, and then finding a corresponding power (the decryption key) to raise the new letter back to the original.

Views: 3760
Gideon Samid

Working on a branch of physics called supersymmetry, Dr. James Gates Jr., discovered what he describes as the presence of what appear to resemble a form of computer code, called error correcting codes, embedded within, or resulting from, the equations of supersymmetry that describe fundamental particles.
Gates asks, “How could we discover whether we live inside a Matrix? One answer might be ‘Try to detect the presence of codes in the laws that describe physics.'” And this is precisely what he has done. Specifically, within the equations of supersymmetry he has found, quite unexpectedly, what are called “doubly-even self-dual linear binary error-correcting block codes.” That’s a long-winded label for codes that are commonly used to remove errors in computer transmissions, for example to correct errors in a sequence of bits representing text that has been sent across a wire.
Gates explains, “This unsuspected connection suggests that these codes may be ubiquitous in nature, and could even be embedded in the essence of reality. If this is the case, we might have something in common with the Matrix science-fiction films, which depict a world where everything human being’s experience is the product of a virtual-reality-generating computer network.”

Views: 959123
LR

In mathematics, especially in geometry and group theory, a lattice in is a discrete subgroup of which spans the real vector space . Every lattice in can be generated from a basis for the vector space by forming all linear combinations with integer coefficients. A lattice may be viewed as a regular tiling of a space by a primitive cell.
Lattices have many significant applications in pure mathematics, particularly in connection to Lie algebras, number theory and group theory. They also arise in applied mathematics in connection with coding theory, in cryptography because of conjectured computational hardness of several lattice problems, and are used in various ways in the physical sciences. For instance, in materials science and solid-state physics, a lattice is a synonym for the "frame work" of a crystalline structure, a 3-dimensional array of regularly spaced points coinciding with the atom or molecule positions in a crystal. More generally, lattice models are studied in physics, often by the techniques of computational physics.
This video is targeted to blind users.
Attribution:
Article text available under CC-BY-SA
Creative Commons image source in video

Views: 520
Audiopedia

Kristin Lauter, Microsoft Research Redmond
The Mathematics of Modern Cryptography
http://simons.berkeley.edu/talks/kristin-lauter-2015-07-07

Views: 660
Simons Institute

Speaker: Divesh Aggarwal, Centre for Quantum Technologies, NUS
Abstract:
Lattice-based cryptosystems are perhaps the most promising candidates for post-quantum cryptography as they have strong security proofs based on worst-case hardness of computational lattice problems and are efficient to implement due to their parallelizable structure. Attempts to solve lattice problems by quantum algorithms have been made since Shor’s discovery of the quantum factoring algorithm in the mid-1990s, but have so far met with little success if any at all. The main difficulty is that the periodicity finding technique, which is used in Shor’s factoring algorithm and related quantum algorithms, does not seem to be applicable to lattice problems.
In this talk, I will survey some of the main developments in lattice cryptography over the last decade or so. The main focus will be on the Learning With Errors (LWE) and the Short Integer Solution (SIS) problems, their ring-based variants, their provable hardness under the intractability assumptions of lattice problems and their cryptographic applications.

Views: 285
Centre for Quantum Technologies

Alice Silverberg, UC Irvine
The Mathematics of Modern Cryptography
http://simons.berkeley.edu/talks/alice-silverberg-2015-07-09

Views: 246
Simons Institute

Sparse Permutations with Low Differential Uniformity

Views: 75
Institut Fourier

Views: 364
Jeff Suzuki

Views: 127
Soowook Lee

My final project is an examination of the modular arithmetic in the circle of fifths, with some review from the lesson. A certain background in basic number theory is assumed.

Views: 87
Sarah Hudadoff

Greta Panova, University of Pennsylvania
Geometric Complexity Theory
http://simons.berkeley.edu/talks/greta-panova-2014-09-19

Views: 310
Simons Institute

Avi Wigderson, Institute for Advanced Study
https://simons.berkeley.edu/talks/avi-wigderson-01-31-2017
Expanders and Extractors

Views: 819
Simons Institute

Avi Widgerson, Institute for Advanced Study, Princeton
Connections Between Algorithm Design and Complexity Theory
https://simons.berkeley.edu/talks/avi-wigderson-2015-09-29

Views: 341
Simons Institute

© 2018 Unctad world investment report new york and geneva 2015

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