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Prime Numbers & Public Key Cryptography
 
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A simple explanation of how prime numbers are used in Public Key Cryptography from ABC1 science program Catalyst
Views: 63319 Simon Pampena
Public Key Cryptography: RSA Encryption Algorithm
 
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RSA Public Key Encryption Algorithm (cryptography). How & why it works. Introduces Euler's Theorem, Euler's Phi function, prime factorization, modular exponentiation & time complexity. Link to factoring graph: http://www.khanacademy.org/labs/explorations/time-complexity
Views: 566095 Art of the Problem
The prime number theorem | Journey into cryptography | Computer Science | Khan Academy
 
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How can we estimate the number of primes up to x? Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/comp-number-theory/v/time-space-tradeoff?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/comp-number-theory/v/trial-division-primality-test-using-a-sieve-prime-adventure-part-5?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information). About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 84993 Khan Academy Labs
Public Key Cryptography - Computerphile
 
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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 note1: Yes, it should have been 'Obi Wan' not 'Obi One' :) note2: The string of 'garbage' text in the two examples should have been different to illustrate more clearly that there are two different systems in use. http://www.facebook.com/computerphile https://twitter.com/computer_phile This video was filmed and edited by Sean Riley. Computer Science at the University of Nottingham: http://bit.ly/nottscomputer Computerphile is a sister project to Brady Haran's Numberphile. See the full list of Brady's video projects at: http://bit.ly/bradychannels
Views: 428201 Computerphile
Applied Cryptography: RSA - Finding Large Primes - Part 1
 
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This video gives an introduction and motivation about finding large prime numbers for the RSA. General ideas are discussed.
Views: 1712 Leandro Junes
Public Key Cryptography: Diffie-Hellman Key Exchange (short version)
 
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This is a segment of this full video: https://www.youtube.com/watch?v=YEBfamv-_do Diffie-Hellman key exchange was one of the earliest practical implementations of key exchange within the field of cryptography. It relies on the discrete logarithm problem. This test clip will be part of the final chapter of Gambling with Secrets!
Views: 449166 Art of the Problem
Public key cryptography - Diffie-Hellman Key Exchange (full version)
 
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The history behind public key cryptography & the Diffie-Hellman key exchange algorithm. We also have a video on RSA here: https://www.youtube.com/watch?v=wXB-V_Keiu8
Views: 627607 Art of the Problem
RSA Algorithm with Example | Asymmetric Key Cryptography (Public Key Cryptography)
 
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In this network security video tutorial we will study the working of RSA Algorithm. RSA Algorithm theory - 1. Ron Rivest, Adi Shamir and Len Adlemen developed the method called as RSA algorithm. 2. Most popular and proven asymmetric key cryptography algorithm 3. Based on the mathematical fact that it is easy to find and multiply large prime numbers together, but it is extremely difficult to factor their product. RSA Algorithm Steps - 1. Choose two large prime numbers P and Q. 2. Calculate N = P * Q 3. Select the public key (i.e. the encryption key) E such that it is not a factor of [(P – 1) * (Q – 1)]. 4. Select the private key (i.e. the decryption key) D such that the following equation is true: (D * E) mod (P – 1) * (Q – 1) = 1 5. For encryption calculate the cipher text CT from the plain text PT as follows: CT= PT^E mod N 6. Send CT as the cipher text to the receiver 7. For decryption calculate the plain text PT from the cipher text CT as follows: PT = CT^D mod N Complete Network Security / Information Security Playlist - https://www.youtube.com/watch?v=IkfggBVUJxY&list=PLIY8eNdw5tW_7-QrsY_n9nC0Xfhs1tLEK Download my FREE Network Security Android App - https://play.google.com/store/apps/details?id=com.intelisenze.networksecuritytutorials Simple Snippets Official Website - http://simplesnippets.tech/ Simple Snippets on Facebook - https://www.facebook.com/simplesnippets/ Simple Snippets on Instagram - https://www.instagram.com/simplesnippets/ Simple Snippets on Twitter - https://twitter.com/simplesnippet Simple Snippets Google Plus Page - https://plus.google.com/+SimpleSnippets Simple Snippets email ID - [email protected] For More Technology News, Latest Updates and Blog articles visit our Official Website - http://simplesnippets.tech/ #RSA #RSAalgorithm #NetworkSecurity #AsymmetricCryptography
Views: 1270 Simple Snippets
Prime Numbers in Cryptography
 
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#breakthroughjuniorchallenge Background music is not mine. I do not own it. Here's the link to the original video: https://youtu.be/aySvbg_r1RU
Views: 1007 Erika Lustre
Public Key Cryptography Tutorial
 
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This video provides a description of public key cryptography and how asymmetric encryption secures data in a network.
Views: 362 TELEGRID
RSA Public Key Cryptography
 
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CS1231 Group 20 To view the presentation only, visit http://youtu.be/Yf3k1c1YEuA?hd=1 Copyright, NUS, 2011 Some people asked about the source code for the C program we used, you can find the original version (not coded by us) here: http://cppgm.blogspot.com/2008/01/rsa-algorithm.html
Views: 27246 xkiller213
Number Theory 4  Intro to Encryption
 
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Part 3: Introduction to codes and an example or RSA public key encryption.
RSA Algorithm with solved example using extended euclidean algorithm | CSS series #7
 
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#rsa #deffiehellman #cryptographylectures #lastmomenttuitions Take the Full Course of Cryptography and Network Security What we Provide 1) 20 Videos (Index is given down) + More Update will be Coming Before final exams 2)Hand made Notes with problems for your to practice 3)Strategy to Score Good Marks in Cryptography and Network Scurity To buy the course click https://goo.gl/mpbaK3 if you have any query email us at [email protected] Sample Notes : https://goo.gl/Ze1FpX or Fill the form we will contact you https://goo.gl/forms/2SO5NAhqFnjOiWvi2 Cryptography and System Security Index Lecture 1 Introduction to Cryptography and Security System Lecture 2 Security Goals and Mechanism Lecture 3 Symmetric Cipher Lecture 4 Substitution Cipher Lecture 5 Transposition Cipher Lecture 6 Stream and Block Cipher Lecture 7 Mono Alphabetic Cipher Lecture 8 Poly Alphabetic Cipher Lecture 9 Diffie Hellman Lecture 10 RSA Algorithm with Solved Example Lecture 11 IDEA Algorithm Full Working Lecture 12 SHA-1 Algorithm Full Working Lecture 13 Blowfish Algorithm Full working Lecture 14 DES Algorithm Full Working Lecture 15 Confusion and Diffusion Lecture 16 AES Algorithm Full working Lecture 17 Kerberos Lecture 18 Malicious Software ( Virus and worms ) Lecture 19 DOS and DDOS Attack Lecture 20 Digital Signature Full working Explained More videos Coming Soon.
Views: 279834 Last moment tuitions
Public Key Crypto with RSA (CSS322, L12, Y14)
 
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Introduce concepts of public key crypto, then a detailed example of using RSA. Course material via: http://sandilands.info/sgordon/teaching
Views: 11501 Steven Gordon
Public Key Cryptography & RSA: Part 2
 
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Fundamental concepts of Prime Numbers are discussed. Optimization of Private Key operations is presented. RSA Security is Analyzed.
Views: 561 Scholartica Channel
Prime Numbers
 
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A brief introduction to prime numbers, touching on their use in nature and encryption. If you learnt something new and are feeling generous, please do support the channel at: https://www.patreon.com/bespokeeducation
Views: 179 BespokeEducation
Prime Numbers and their Mysterious Distribution (Prime Number Theorem)
 
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Primes are the building blocks of math. But just how mysterious are they? Our study of prime numbers dates back to the ancient Greeks who first recognized that certain numbers can't be turned into rectangles, or that they can't be factored into any way. Over the years prime numbers have only become more and more sought. The Primes are the basis of internet banking and all encryption that allows the internet to exist depends on it. They are the building blocks of numbers themselves. This video covers what prime numbers are and how mathematicians throughout the globe have been instrumental in discovering a large variety of proofs about them, from the Fundamental Theorem of Arithmetic to Gauss' prime number theorem to touching on the Riemann Hypothesis. More information on Euclid's proof: http://www.mathsisgoodforyou.com/conjecturestheorems/euclidsprimes.htm Music: Bortex: Gravity Summer by Bensound | https://www.bensound.com
Views: 130 Kinertia
Modular Arithmetic, Prime, Relatively Prime, Euler's Cryptography and Network security in Hindi.
 
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Please Fill the form - https://docs.google.com/forms/d/1kOxvqvz1IvBMHJ3UeLecLDuK7ePKjHAvHaRcxduHKEE/edit ====================================================== Answer of your Questions Asked to me. (direct Link given below) Blogger Link - http://shalik-htd.blogspot.com/ ====================================================== Hey, friends, I upload the videos in this channel in Hindi for Engineering student of UPTU and other universities for computer science and IT (information technology) students. like share and subscribe my channel ====================================================== Install C Programming Solution Android app - https://play.google.com/store/apps/details?id=com.shalik.patel.cprogrammingsolution ====================================================== ====================================================== My Career Planning android app - https://play.google.com/store/apps/details?id=guide.mycareer.com.rec.mycareer ====================================================== ====================================================== My Android App for my College Library (An Official App Of College Library) - https://play.google.com/store/apps/details?id=jrv.library.rec.reclibrary ====================================================== How to use android application - https://www.youtube.com/watch?v=1hMZCvl-JxM ====================================================== Contact me on Facebook - https://www.facebook.com/HTD-hub-250593705388294/?ref=br_rs ====================================================== Follow me on twitter - https://twitter.com/PatelShalik ======================================================
Prime Encryption
 
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finding series and Prime numbers from a logarithmic spiral concept
Views: 1009 ConstructorsCorner
2.4.1 RSA Public Key Encryption: Video
 
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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: 18661 MIT OpenCourseWare
The Prime Number Mystery| WORLD SECRETS HIDDEN IN PRIME NUMBERS
 
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This Excellent Video Unravels the Secrets of Prime Numbers.
Views: 235 The Primera
Basics of Primes and Modular Arithmetic (CSS322, L10, Y14)
 
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Basics of number theory for public key crypt; divisibility, relative prime, prime numbers; modular addition, subtraction, multiplication and division. Additive inverse . introduction to number theory for public key crypto. Divisibility, factors, primes, relatively prime. Addition, subtraction, multiplication and division in modular . CSS441, Semester 2, 2015, Lectures at Sirindhorn International Institute of Technology, Thammasat University, Thailand by Steven Gordon. Course material via: .
Views: 8 Neil Rios
Prime Numbers as Building Blocks - Euclid's greatest discovery
 
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Euclid identified Prime Numbers as building blocks for all numbers. This leads to the discovery of unique factorization. This idea lies at the heart of modern encryption techniques such as RSA.
Views: 17899 Art of the Problem
Applied Cryptography: RSA - Finding Large Primes - Part 2
 
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This video gives an overview of primality tests. Basic ideas on how these tests work are discussed.
Views: 561 Leandro Junes
Applied Cryptography: RSA - Finding Large Primes - Part 3
 
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The Miller-Rabin primality test is described in detail in this video. Number Theory facts and pseudo-code regarding this primality test are explained.
Views: 883 Leandro Junes
Dividing Integers, Prime Factorization and its Importance for Cryptography
 
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Foundations of Arithmetic, Algebra, and Graphing, Part 10. Dividing Integers, Meaning and Application, Part 2. (0:00) Introduction and review problems from last video. (1:08) Another visual way to think about the simpler form of the first problem. (2:07) The integers are NOT closed under division. (3:13) Division is NOT commutative. (4:30) Factoring using prime numbers and factor trees. (6:42) Prime factorizations are important for computer security (RSA codes).
Views: 632 Bill Kinney
Public Key Cryptography & RSA: Part 1
 
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Fundamental concepts of Public Key Encryption are discussed. RSA Public Encryption is presented. Optimization of Private Key operations is analyzed. Public Key Encryption Symmetric vs. Public-Key RSA Public Key Encryption RSA Key Construction Optimizing Private Key Operations RSA Security
Views: 1171 Scholartica Channel
Why are prime numbers important? | Tell me why
 
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Why are prime numbers important? Are there any practical uses of prime numbers or are they taught in school life just for covering academic syllabus! Get familiar with some practical uses of prime numbers in this short animated video. Do share with us if you know any more real life uses of prime numbers. And what do you think about periodical cicadas, using prime numbers for their existence. Isn't it just amazing. Keep watching for more such curious Tell me why shorts every Monday @ 5PM (IST) Till then Like and share our videos. Don't forget sharing is caring. Thanks for watching. Follow us, Like us, be a part of the family: ►http://facebook.com/tellmewhyvideos ►https://twitter.com/tellmewhyvideos Sources and further readings: http://www.baltimoresun.com/bal-te.ms.cicada10may10-story.html http://math.stackexchange.com/questions/43119/real-world-applications-of-prime-numbers To more about RSA encryption visit the wikipedia page: https://en.wikipedia.org/wiki/RSA_(cryptosystem) Bckground Music: Kevin Macleod incompetech.com
Views: 26411 The Explained Show
Paper and Pencil RSA (starring the extended Euclidean algorithm)
 
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For more detail on back substitution go to: http://bit.ly/1W5zJ2g Here is a link with help on relative primes: http://www.mathsisfun.com/definitions/relatively-prime.html This is (hopefully) a very simple example of how to calculate RSA public and private keys. Just to be clear: these values should not be used for any real encryption purposes.
Views: 123076 Jenn Janesko
Data Interception and Public Key Encryption - Information Security Lesson #9 of 12
 
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Dr. Soper discusses malicious data interception and public key encryption. Topics covered include wiretapping, defending against message interception, network encryption methods, the key exchange problem, public key encryption, RSA encryption, and key exchange using public key encryption.
Views: 21396 Dr. Daniel Soper
Teachers TV: Maths: Wrestling with Primes
 
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Presenter Matthew Tosh looks at the complex subject of prime numbers, from the theories relating to them, to some of their uses, in an information-packed video for maths teachers. For centuries, mathematicians have been searching for both larger primes and ways of breaking numbers down into their prime factors. Here, we see how prime numbers are used in cryptography algorithms, to help keep our money safe. And starting with Euclid's fundamental theorem of arithmetic, this video explains the role prime numbers play in internet security. Licensed to CPD College Ltd.
Views: 46 CPD College
Computational Number Theory (Prime Adventure part 1)
 
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Prime Adventure: Learn how to build algorithms (and write code!) which solve number theoretic challenges such as prime factorization. Follow the rest of this adventure on Khan Academy: http://www.khanacademy.org/cs/prime-adventure-level-1/1018672065
Views: 21491 Art of the Problem
Miller-Rabin Primality Test
 
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Here's a second (better) example for how to use the Miller-Rabin primality test.
Views: 38785 Theoretically
RSA Encryption with Excel Part 1
 
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This is a class room example of RSA encryption using 3 digit primes and excel for the calculation engine. The video is in three parts. Part 1 describes the initial setup of the algorithm and how to generate exponents of those numbers. This class happened on April 12, 2011 at Eastside Preparatory School in Kirkland. Download the spreadsheet https://docs.google.com/open?id=1GLcLhuBUvmC5_YxcILVLnkjhghFa8ABSlMLG7Wm9LZE
Views: 23568 Jonathan Briggs
Applied Cryptography: Number Theory for Asymmetric Crypto - Part 1
 
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Previous video: https://youtu.be/xffDdOY9Qa0 Next video: https://youtu.be/uPh6IUhiFUo
Views: 2674 Leandro Junes
Discrete Math You Need to Know - Tim Berglund
 
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From OSCON 2013: What do you need to know about prime numbers, Markov chains, graph theory, and the underpinnings of public key cryptography? Well, maybe more than you think! In this talk, we'll explore the branch of mathematics that deals with separate, countable things. Most of the math we learn in school deals with real-valued quantities like mass, length, and time. However, much of the work of the software developer deals with counting, combinations, numbers, graphs, and logical statements: the purview of discrete mathematics. Join us for this brief exploration of an often-overlooked but eminently practical area of mathematics. Don't miss an upload! Subscribe! http://goo.gl/szEauh Stay Connected to O'Reilly Media by Email - http://goo.gl/YZSWbO Follow O'Reilly Media: http://plus.google.com/+oreillymedia https://www.facebook.com/OReilly https://twitter.com/OReillyMedia
Views: 52353 O'Reilly
Public-Key Cryptography Math Explained
 
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Explains to algebra students the mathematics needed to perform public-key cryptography.
Views: 5035 Aaron Solt
8. Divisibility, Primes and Modular Arithmetic
 
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Basics of number theory for public key crypt; divisibility, relative prime, prime numbers; modular addition, subtraction, multiplication and division. Additive inverse, multiplicative inverse. Credit: Prof. Steven Gordon
Views: 132 Pritesh Prajapati
What is asymmetric encryption?
 
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In symmetric key encryption the same key is used for both encryption and decryption. In contrast, in asymmetric key encryption a public key (known to everyone) is used for encryption and a private key (known only to the recipient) is used for decryption. Many asymmetric key encryption approaches are based on factoring as a trapdoor function, with the public key being the multiple of the two secret primes and the private key being the two secret primes. Asymmetric key encryption allows one party to encrypt a message to a second party they have never communicated with previously. Credits: Talking: Geoffrey Challen (Assistant Professor, Computer Science and Engineering, University at Buffalo). Producing: Greg Bunyea (Undergraduate, Computer Science and Engineering, University at Buffalo). Part of the https://www.internet-class.org online internet course. A blue Systems Research Group (https://blue.cse.buffalo.edu) production.
Views: 923 internet-class
A History of Primes - Manindra Agrawal
 
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A History of Primes Manindra Agrawal, American Academy of Arts and Sciences, October 2002 The Clay Mathematics Institute (CMI) 2002 Annual Meeting took place on Wednesday, October 30, 2002, from 2:30 to 5:30 PM, at the American Academy of Arts & Sciences in Cambridge, Massachusetts. The Annual Meeting brought together an international assembly of mathematicians to celebrate the universality of mathematical thought. This meeting provided a public forum for discussion among leading mathematicians and scientists, and it strengthened relations between mathematicians, the public, and the scientific research community. The meeting began with the presentation of the 2002 Clay Research Award to Oded Schramm (for his work on the Loewner equation) and to Manindra Agrawal (for his work on primality testing). CMI President Arthur Jaffe and Directors Landon Clay and Lavinia Clay gave the awards. This Research Award recognizes major recent breakthroughs in two mathematical directions, and represents the pinnacle of recognition of research achievement by CMI. Each prizewinner becomes a Clay Research Scholar, and receives a bronze model of the CMI logo, an elegant sculpture "Figureight Knot Complement vii/ CMI" by sculptor Helaman Ferguson. Former winners are: Andrew Wiles, Laurent Lafforgue, Alain Connes, Stanislav Smirnov and Edward Witten. Two talks followed the awards ceremony. Manindra Agrawal of the Indian Institute of Technology surprised all experts in August 2002 by solving an ancient problem (working with two undergraduate students). They showed that one could determine the primality of a number in polynomial time. This was the first talk in the United States by the inventor of the new method. Vladimir Voevodsky from the Institute of Advanced Study gave the second talk. He spoke about the mathematical breakthroughs that led to his receiving the Fields Medal in August 2002. "We have a very impressive set of ground-breaking mathematicians at this year's meeting as award winners and speakers. The meeting certainly will inspire young mathematicians who attend, as well as all those who read about it or view the meeting on the web," said Arthur Jaffe, President of the Clay Mathematics Institute. "Agrawal will discuss his exciting discovery - the ASK algorithm for primality testing, and Voevodsky will explain his novel approach to the mathematical modeling of shapes known as "motivic homotopy theory." http://www.claymath.org/annual_meeting/2002_Annual_Meeting/
Views: 13305 PoincareDuality