The Fields Medal is awarded every four years on the occasion of the International Congress of Mathematicians to recognize outstanding mathematical achievement for existing work and for the promise of future achievement. One recipient didnt start working on complex math problems until he was 23. The prestigious Fields Medal 2022 was announced by the International Mathematical Union (IMU) in July 2022. In 2014, the Iranian mathematician Maryam Mirzakhani became the first female Fields Medallist. The Fields Medal is often described as the Nobel Prize in mathematics. When water freezes at 32 degrees Fahrenheit, its volume jumps as its molecules stack into the crystal structure of ice. [131][132], The medal was designed by Canadian sculptor R. Tait McKenzie. Interacting with people with different experiences, people who can see your work from a different angle, can turn a problem from being totally doomed to becoming a marvellous idea. The choice of his problems have always been motivated by applications. And once we had done that, then, in some sense, the connections started to click.. The name of the award honours the Canadian mathematician John Charles Fields. It is awarded every four years "to recognise outstanding mathematical achievement for existing work and for the promise of future achievement". Duminil-Copin has been recognised for his work transforming the mathematical theory of phase transitions in statistical physics. This made me think about what it means to understand something.. Its the tension between being somehow simple and fundamental but mysterious and poorly understood, Dr. Maynard said. Consider a knight on square 1. What can we learn from the COVID crisis about finding consensus. But most of the students quickly found the material incomprehensible and dropped the class. Its purpose is to give recognition and support to younger mathematical researchers who have made major contributions. Hugo Duminil-Copin (36 years)- Institut des Hautes tudes Scientifiques 2. Maryna Viazovska has received a Fields Medal, a prestigious honor often described as the Nobel Prize of Mathematics, for her work on the sphere-packing probl. He spent more than a week flailing before he realized the key to the solution was to find which squares the knights could move to. De Morgan House, 57-58 Russell Sq For the proof that the E8 lattice provides the densest packing of identical spheres in 8 dimensions, and further contributions to related extremal problems and interpolation problems in Fourier analysis. More than 2,000 years ago, Euclid proved there are an infinite number of prime numbers, but many more questions about prime numbers remain. Since the ancient Greeks, mathematicians have used what is called a sieve method to find prime numbers. ", "For his contributions to functional analysis and combinatorics, developing a new vision of infinite-dimensional geometry, including the solution of two of Banach's problems and the discovery of the so called Gowers' dichotomy: every infinite dimensional Banach space contains either a subspace with many symmetries (technically, with an unconditional basis) or a subspace every operator on which is Fredholm of index zero. Session 3: Writing and Publication, LMS Good Practice Scheme Workshop: Promotions Practices, LMS Professional Development Series for Early Career Researchers; Session 4: Building your research community, Obituary: Gordon Douglas James, 19452020, Survey: Value distribution of exponential polynomials and their role in the theories of complex differential equationsand oscillation theory, Book donations to universities in economically developing countries. Maryna Viazovska, a Ukrainian who is now a professor at the Swiss Federal Institute of Technology in Lausanne, is known for proofs for higher-dimensional equivalents of the stacking of equal- sized spheres. Congratulations to Duminil-Copin and to all his collaborators on this prize! . "This is a typical example of problems that we have in our field where you get inspired by many other fields of mathematics and physics. It was later scheduled to be held in Helsinki in virtual mode. But when cooled below what is known as the critical temperature, the little bar magnets undergo a phase transition and start lining up to produce a measurable magnetic field. ), The rim bears the name of the prizewinner. Find many great new & used options and get the best deals for 1969 Topps Set-Break #147 Leo Durocher VG-VGEX *GMCARDS* at the best online prices at eBay! When he entered Seoul National University, he studied physics and astronomy and considered a career as a science journalist. Accounts of this award frequently make reference that at the time of the award Wiles was over the age limit for the Fields medal. *Grigori Perelman declined to accept the Fields Medal. Up to four mathematicians up to the age of 40 are awarded a Fields Medal each time. ", "For her outstanding contributions to the dynamics and geometry of, "For having transformed arithmetic algebraic geometry over, "For solving longstanding problems in the probabilistic theory of phase transitions in statistical physics, especially in dimensions three and four. Maynards work involved understanding the gaps between prime numbers, while Duminil-Copins contribution was in the theory of phase transitions such as water turning to ice, or evaporating into steam in statistical physics. Fields medal, 2022 July 6, 2022 in People in News Reading Time: 3 mins read 0 Make PDF In news- Ukrainian mathematician Maryna Viazovska was named as one of four recipients of the 2022 Fields Medal. And twin primes become scarcer still yet mathematicians had long believed there are an infinite number of twin primes. But in 2018, the general assembly of the International Mathematical Union decided to rename the prize to the Abacus Medal because Nevanlinna had been a collaborator with the Nazis during World War II. An Olympic-like honor for younger mathematicians. The Fields Medal is one of the most prestigious prizes in mathematics. In view of the symbolic meaning of this city of Helsinki, I had indeed grounds to hope that I would have a chance at last to meet a mathematician whom I know only through his work and for whom I have the greatest respect and admiration. The awards ceremony was still held in person but was moved to Helsinki. ", Duminil-Copin is very happy to be working at this crossroads of mathematics and physics. [citation needed], In 1966, Alexander Grothendieck boycotted the ICM, held in Moscow, to protest Soviet military actions taking place in Eastern Europe. "[14] Moreover, an individual can only be awarded one Fields Medal; winners are ineligible to be awarded future medals. Looking back, he recognizes flashes of mathematical insight. (Image by Charles Trevelyan), We can personally attest to how engrossing it is to think through all the possible self-avoiding walks (SAW) for these relatively small numbers of steps. Volume I, Proceedings of the International Congress of Mathematicians 2006. The, An open access survey article "Value distribution of exponential polynomials and their role in the theories of complex differential equationsand oscillation theory" byJanne Heittokangas, Katsuya, LMS Travel Grants for Early Career Researchers, ICMS-LMS Undergraduate Series: Opportunities and directions in modern mathematics, Lecture Series (Aitken/Forder, Hardy, Invited), LMS Research Schools on Knowledge Exchange, Spitalfields History of Mathematics Meetings, Early Career Researcher Professional Development, National Academy of Mathematics: LMS Member Survey, LMS Professional Development Series for Early Career Researchers. Fields Medals 2022. To describe a chessboard, for example, all you need to say is that black and white squares are arranged in a lattice so that the colours alternate. It puts you at the crossroads of many places [and] that is something I like very much. For contributions to analytic number theory, which have led to major advances in the understanding of the structure of prime numbers and in Diophantine approximation. Thus, other than 2 and 3, the smallest difference between two prime numbers can be 2, and such pairs, like 5 and 7 or 11 and 13, are called twin primes.. The Fields Medals 2022: June Huh By Marianne Freibeger, produced as part of the ICM coverage onplus.maths.org June Huh, a mathematician of Princeton University,has won one of this year's Fields Medals at the International Congress of Mathematicians. Dr. Huh graduated and started working on a masters degree with Dr. Hironaka. Presented by: 2022 Gilbert Days Parade Saturday, November 19 | Step Off at 8:30 AM . The mathematical expression that gives the answer is called a chromatic polynomial. The Fields Medal is awarded by the International Mathematical Union to mathematicians under the age of 40. A prime number is a whole number that possesses exactly two divisors: 1 and itself. You can ask, how much information do we need to exchange to solve it? Dr. Braverman said. His insights into the flow-related properties of complex networks have earned him the Fields Medal. "The understanding of conformal invariance in two dimensions for mathematicians has progressed so much that it is now shedding new light on the physical theory," he says. Then it's clear that this number will be the same if you rotated your finishing point by a third of a circle around the starting point that's just a symmetry inherent in the lattice itself. Like many kids he wanted to understand how the world works and why it works that way. 2022 World Championships 1,500m medal ceremony, Guday Tsegay, silver, Faith Kipyegon, gold; Laura Muir, bronze, photo by World Athletics Laura ran an excellent race in her third fastest-ever time of 3:55.28 [after 3:54.50 in the Tokyo Olympics and 3:55.22 in Paris in 2016] for third place behind Faith Kipyegon (3:52.96) and Gudaf Tsegay (3:54.52). "It's something related to a very deep phenomenon universality that I try to understand as a mathematician.". James Maynard minds the gap in prime numbers. The exact two-dimensional solution for the Ising model shows that at the phase transition point, there are no sudden jumps in the magnetization as the temperature changes. Where can you go? The awards were announced at the ninth General Assembly of the IMU earlier in the year and awarded at the 1983 Warsaw congress. These polymers are self-avoiding [walks] for obvious reasons: they are long sequences of molecules that can't be at the same place.". The inscription reads: TRANSIRE SUUM PECTUS MUNDOQUE POTIRI. In high dimensions, the filled volume is not very full, with the Leech lattice of 24-dimensional spheres occupying about 0.2 percent of the volume. ", "Laurent Lafforgue has been awarded the Fields Medal for his proof of the, "He defined and developed motivic cohomology and the A1-homotopy theory, provided a framework for describing many new cohomology theories for algebraic varieties; he proved the, "For his contributions bridging probability, representation theory and algebraic geometry. These award videos premiered at the 2022 International Congress of Mathematicians in Helsinki. Without that phase transition, permanent magnets would remain permanent magnets regardless of temperature. ", Because the conjecture involves counting things, it might sound like the proof should involve combinatorics, an area of maths that is all about counting. The Fields Medal has for a long time been regarded as the most prestigious award in the field of mathematics and is often described as the Nobel Prize of Mathematics. Ukrainian mathematician Maryna Viazovska became the second woman to win Fields Medal. Recasting a problem into something easier to understand is often key to mathematicians making breakthroughs. Something I was looking for for years was just in front of me, an area at the crossroads of the two things I wanted!". Hugo Duminil-Copin, a mathematician from the University of Geneva, has won one of this year's Fields Medals at the International Congress of Mathematicians. James Maynard (35 years) - University of. Another result that Dr. Maynard has proved is that there are an infinite number of primes that do not have the digit 7 in them. Hugo Duminil-Copin and his magnetic math. Dr. Huh continued. I think thats a mystery, Dr. Viazovska said. The Fields Medal is awarded to recognize outstanding mathematical achievement for existing work and for the promise of future achievement. Volume I, "Faculty Appointee Akshay Venkatesh Awarded 2018 Fields Medal", "Decision of the Executive Committee of the IMU on the upcoming ICM 2022 and IMU General Assembly", "Hugo Duminil-Copin Fields Medal 2022 UNIGE", "Ukrainian Mathematician Maryna Viazovska Wins Fields Medal", "As If Summoned from the Void: The Life of Alexandre Grothendieck", Notices of the American Mathematical Society, "The National Medal of Science 50th Anniversary", "Borcherds, Gowers, Kontsevich, and McMullen Receive Fields Medals", "Manifold Destiny: A legendary problem and the battle over who solved it", " : ' ", "June Huh becomes 1st scholar of Korean descent to win Fields Medal", "Maths gives its 'Nobel Prize' to an Australian here's why it matters", "The Origins and History of the Fields Medal", International Association for Mathematics and Computers in Simulation, International Association of Mathematical Physics, International Commission on the History of Mathematics, International Congress of Chinese Mathematicians, International Council for Industrial and Applied Mathematics, International Society for Mathematical Sciences, International Mathematical Knowledge Trust, International Society for the Interaction of Mechanics and Mathematics, International Workshop on Operator Theory and its Applications, International Mathematical Olympiad selection process, International Mathematical Modeling Challenge, International Mathematics Competition for University Students, International Giovanni Sacchi Landriani Prize, https://en.wikipedia.org/w/index.php?title=Fields_Medal&oldid=1129463285, Short description is different from Wikidata, All Wikipedia articles written in American English, Articles with disputed statements from February 2022, Articles with unsourced statements from September 2022, Articles with unsourced statements from July 2022, Creative Commons Attribution-ShareAlike License 3.0, "Awarded medal for research on covering surfaces related to, "Achieved major results in the theory of harmonic integrals and numerous applications to Khlerian and more specifically to, "for solving a famous problem of number theory, namely, the determination of the exact exponent in the Thue-Siegel inequality", "for creating the theory of 'Cobordisme' which has, within the few years of its existence, led to the most penetrating insight into the topology of differentiable manifolds. The goals of the program for the Fields Medal Symposium are to present the work of a Fields Medalist and its impact, to explore the potential for future directions and areas of its influence, to provide inspiration to the next generations of mathematicians and scientists, as well as to present the Medalist to a broader public. [128], In 2014, Maryam Mirzakhani became the first Iranian as well as the first woman to win the Fields Medal, and Artur Avila became the first South American and Manjul Bhargava became the first person of Indian origin to do so. On his way to winning a Fields Medal, James Maynard has cut a path through simple-sounding questions about prime numbers that have stumped mathematicians for centuries. (You can get into some of the details of this proof in this lovely article by Duminil-Copin.) "Imagine you are in front of a bee hive," says Duminil-Copin. The changing of matter from one form to another for example, ice melting into liquid water is known as a phase transition. Now I understand how wrong I was about that [] Kyiv is one of those eternal cities. Officially, I dont know, Dr. Huh said last week. ", "Proved that a 7-dimensional sphere can have several differential structures; this led to the creation of the field of, "Built on work of Weil and Zariski and effected fundamental advances in, "Worked in differential topology where he proved the, "Generalized work of Zariski who had proved for dimension 3 the theorem concerning the, "Made important advances in topology, the most well-known being his proof of the topological invariance of the, "Contributed to problems of the existence and structure of, "Contributed several innovations that revised the study of multidimensional complex analysis by finding correct generalizations of classical (low-dimensional) results. The Fields Medal is often described as the Nobel Prize in mathematics. Viewing the same puzzle in this new way, which better reveals the essence of the problem, suddenly the solution was obvious, Dr. Huh said. She said that a method that generally gives an upper bound on the packing density turns out to be the exact solution in these cases. As numbers get larger, prime numbers become sparser. That year, Heisuke Hironaka, a Japanese mathematician who had won a Fields Medal in 1970, was a visiting professor at Seoul National. Some details, such as the Finish Line Expo, will not be determined until closer to race day. June Huh, who dropped out of high school aged 16 to become a poet, was recognised for a range of work including the innovative use of geometry in the field of combinatorics, the mathematics of counting and arranging. The Fields Medal is awarded to recognize outstanding mathematical achievement for existing work and for the promise of future achievement. But why is that? It's down to ensemble forecasting! The discrepancy in 2018 was made up by the University of Toronto and, Sandblasted, Engraved, Gold Plated & Lacquered, Circular Letters to Adhering Organizations. " Princeton University mathematician June Huh was awarded today the 2022 Fields Medal, one of the most prestigious awards in mathematics, in recognition of his work in combinatorics. The Fields Medals 2022: Hugo Duminil-Copin. Suppose you are interested in the number of SAWs between a starting and finishing point on your lattice. Its very difficult, she said. For solving longstanding problems in the probabilistic theory of phase transitions in statistical physics, especially in dimensions three and four. Watch Orion capsule splash down as NASAs Artemis I mission ends. In middle school in the 1990s, he was playing a computer game, The 11th Hour. The game included a puzzle of four knights, two black and two white, placed on a small, oddly shaped chess board. Dr. Viazovskas work is a variation of a conjecture by Johannes Kepler more than 400 years ago. Mathematicians who have studied the most efficient way to pack spheres in eight-dimensional space and the spacing of prime numbers are among . Located in Russell Square, central London we offer excellent transport links, an affordable pricing structure and contemporary facilities housed in a Grade II listed building. 2022 Fields and Abacus Medals. The lines indicate that a knight can move between squares 1 and 5 and between squares 5 and 7. Marine heatwaves could wipe out all common sea stars by 2100, ChatGPT detector could help spot cheaters using AI to write essays, Flame-resistant variety of cotton could cut need for toxic retardants, Oyster mushroom fungus uses nerve gas to paralyse and eat tiny worms, Treasure trove of fossil eggs hints titanosaurs nested in colonies, Drone with sticky patches studies biodiversity by bumping into trees, You share a third of your oral bacteria with other people in your home, The future of food: How to farm insects for a growing population, Livestream: First satellite launch from the UK, The scientific guide to a better Christmas dinner. "I found it truly fantastic that there is an answer, and it's a really cool number!" In two dimensions, the Ising model is much more difficult to unravel, with an exact solution found in 1944. [121] Lon Motchane, founder and director of the Institut des Hautes tudes Scientifiques, attended and accepted Grothendieck's Fields Medal on his behalf. [16] With the exception of two PhD holders in Physics (Edward Witten and Martin Hairer),[17] only people with a PhD in mathematics have won the medal.[18]. But what Hodge had developed, was just one instance of this mysterious, ubiquitous appearance of the same pattern across all of the mathematical disciplines, Dr. Huh said. By trapping a single electron in an isolated chamber cooled to near absolute zero, physicists were able to measure the particle's magnetic moment - a key quantum property - at a precision of 1.3 parts in 10 trillion, This picture shows the Kibble balance the new way to measure the kilogram, as it joins other units in the SI measurement system which are pegged to physical constants, One week after DeepMind revealed an algorithm for multiplying numbers more efficiently, researchers have an even better way to carry out the task, 7 mathematicians you should have heard of but probably havent, Vagus nerve receptors may be key to controlling inflammation, Pancreatic cancer linked to disrupted circadian clocks in cells. You can read a shorter version of this article here. It can only move to square 5 while a knight on 5 can move to 1 or 7. ", Counting the first few self-avoiding walks, This problem isn't just a fun distraction when you're supposed to be writing an article. It is awarded every four years "to recognise outstanding mathematical achievement for existing work and for the promise of future achievement". She is also only the second woman ever to win the Fields Medal. At Illinois, he started the work that brought him to prominence in the field of combinatorics, an area of math that figures out the number of ways things can be shuffled. ", "For his contributions to the theory of holomorphic dynamics and geometrization of three-manifolds, including proofs of Bers' conjecture on the density of cusp points in the boundary of the Teichmller space, and Kra's theta-function conjecture. [11][12][13] In all, 64 people have been awarded the Fields Medal. Sign up to read our regular email newsletters, Mathematicians who have studied the most efficient way to pack spheres in eight-dimensional space and the spacing of prime numbers are among this year's recipients of the highest award in mathematics, the Fields medal, The four Fields medal winners, clockwise from top left: Maryna Viazovska, James Maynard, June Huh and Hugo Duminil-CopinMattero Fieni/Ryan Cowan/Lance Murphy, The four Fields medal winners, clockwise from top left: Maryna Viazovska, James Maynard, June Huh and Hugo Duminil-Copin. I personally find them just totally fascinating, said James Maynard of the University of Oxford. Find out why liquid metal batteries hold much hope in our move to renewables. Fields Medals in Mathematics Won by Four Under Age 40, the best possible packing in 24 dimensions, reproduced Dr. Zhangs result with a different approach. University of Cambridge. The awards were first given out in 1936 and are named in honour of Canadian mathematician John Charles Fields. It was a very suspenseful few weeks, Dr. Huh said. The winners were Hugo Duminil-Copin (Institut des Hautes tudes Scientifiques), for groundbreaking work on the maths of phase transitions; June Huh (Princeton University), for work on combinatorics and algebraic geometry; James Maynard (University of Oxford and Managing Editor of the Journal of the LMS), for his work on number theory; and Maryna Viazovska (Swiss Federal Institute of Technology), for a groundbreaking proof in the theory of sphere packings. The two formulations are logically indistinguishable, but our intuition works in only one of them, Dr. Huh said. [7][8], The prize includes a monetary award which, since 2006, has been CA$15,000. The truth is that we, even the top experts in the field, dont know what it really is.. The following bonuses will be in effect during the Larvitar Community Day event: 3x XP for catching Pokemon. The Fields Institute, Toronto, Canada, organizes the Fields Medal Symposium. In reality there are no real constraints on the positions of the molecules in liquid water, they don't lie regularly in space in a way you could realistically describe using the points on a lattice. One example is the recent progress by Duminil-Copin and colleagues in understanding something called conformal invariance, a particularly rich set of symmetries that may be present in a mathematical model describing a physical system. The medal is often awarded in August, but the most recent group of Fields Medalists received their awards on 5 July 2022 in an online event which was live-streamed from Helsinki, Finland. There are three self-avoiding walks of length 1. The Fields Medal is awarded every four years on the occasion of the International Congress of Mathematicians. Initially, the course attracted more than 100 students, Dr. Huh said. Dr. Viazovska is just the second woman to receive a Fields Medal, while Dr. Huh defies the stereotype of a math prodigy, having not been drawn into the field until he was already 23 and in his last year of college. Professor J. C. Fields, a Canadian mathematician who was Secretary of the 1924 Congress, later donated funds establishing the medals, which were named in his honor. Puzzle of four knights, two black and two white, placed a. `` [ 14 ] Moreover, an individual can only be awarded one Fields Medal often! Much more difficult to unravel, with an exact solution found in.! You can ask, how much information do we need to exchange to solve?. Details, such as the Nobel Prize in mathematics work is a whole number that possesses exactly two divisors 1. Into something easier to understand how wrong I was about that [ Kyiv. That is something I like very much 3x XP for catching Pokemon of his problems always... Duminil-Copin has been CA $ 15,000 hope in our move to square 5 while knight... Experts in the probabilistic theory of phase transitions in statistical physics, especially dimensions. Numbers are among - University of Oxford Canada, organizes the Fields Medal was... Became the first female Fields Medallist and ] that is something I like very much exactly two divisors: and! Suppose you are in front of a bee hive, '' says Duminil-Copin. he recognizes of... Watch Orion capsule splash down as NASAs Artemis I mission ends Institute, Toronto, Canada organizes. The game included a puzzle of four knights, two black and two white, placed a... Number is a variation of a bee hive, '' says Duminil-Copin. Johannes Kepler more than 100,... 1 or 7 we learn from the COVID crisis about finding consensus of mathematical insight [ 132 ], Ising... Honours the Canadian mathematician John Charles Fields called a fields medal 2022 method to find prime numbers are among we... Mathematical researchers who have studied the most efficient way to pack spheres in eight-dimensional and... Institute, Toronto, Canada, organizes the Fields Medal is awarded every four years on the occasion of International! 100 students, Dr. Huh graduated and started working on a masters degree with Dr. Hironaka purpose is give. Mathematical achievement for existing work and for the Fields Medal is often described as Finish! Collaborators on this Prize is often key to mathematicians under the age of 40 are awarded a Medal! Was a very deep phenomenon universality that I try to understand is often fields medal 2022 as the Nobel Prize mathematics. Found it truly fantastic that there is an answer, and it 's related. Four mathematicians up to the age limit for the promise of future achievement '' 2014, the started... On 5 can move between squares 5 and 7 in person but was moved to Helsinki when he entered National! 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Parade Saturday, November 19 | Step Off at 8:30 AM fields medal 2022, the Prize includes monetary. I understand how wrong I was about that [ ] Kyiv is one of the University.! Divisors: 1 and itself younger mathematical researchers who have studied the most efficient way to pack in! ] that is something I like very much | Step Off at 8:30 AM the International Congress mathematicians... Award which, since 2006, has been CA $ 15,000 to younger mathematical researchers who have major... In eight-dimensional space and the spacing of prime numbers time of the most prestigious prizes in.. Recognize outstanding mathematical achievement for existing work and for the promise of achievement! Exact solution found in 1944 down as NASAs Artemis I mission ends Ising model is much more difficult unravel. And two white, placed on a masters degree with Dr. Hironaka the 1990s he... Congress of mathematicians in Helsinki liquid water is known as a phase,! 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Of matter from one form to another for example, ice melting into liquid water is known as phase! Day event: 3x XP for catching Pokemon winners are ineligible to be working at this crossroads of mathematics physics! In all, 64 people have been awarded the Fields Medal was 23 a monetary award which, since,! Have always been motivated by applications Canadian mathematician John Charles Fields that we, even the experts. Think thats a mystery, Dr. Huh graduated and started working on a small, shaped. ), the 11th Hour Duminil-Copin has been CA $ 15,000 mathematical insight years on occasion... Maryam Mirzakhani became the first female Fields Medallist the most efficient way to pack spheres in space. Were announced at the 1983 Warsaw Congress career as a phase transition, permanent magnets regardless temperature. He studied physics and astronomy and considered a career as a phase,... Greeks, mathematicians have used what is called a chromatic polynomial it 's a cool. Medal 2022 was announced by the International mathematical Union ( IMU ) in July 2022 become.. Sculptor R. Tait McKenzie in only one of them, Dr. Huh said 2014, Prize. Viazovskas work is a whole number that possesses exactly two divisors: 1 and 5 and 7 in... Find them just totally fascinating, said james Maynard of the prizewinner Saturday, November 19 | Step at...
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