Fields Medalist: Andrei Okunkow
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Fields Medalist: Andrei Okunkow

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33

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CC Attribution 3.0 Germany:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. 
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2006

Language 
English

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Abstract 
Lecture of Andrei Okunkow, Fields medallist 2006.

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auto moon stuff Maine everyone bad I'm very pleased to introduce Andre concourse who is 1 the 4 winners of the Fields Medal for a 2006 cocoa of obtained his doctorate in mathematics from Moscow State in 1995 he has held positions at the Russian Academy of Sciences the Institute
00:31
for Advanced Study in Princeton University of Chicago In Mr. California Berkeley and is currently a professor at Princeton University who has won many awards prior to the Fields Medal most recently the European Mathematical Society Prize in 2004 of cocoa
00:53
is a problem solver of great breadth power and originality as in the case of most great problem solvers the main weapon in his arsenal has a mastery of calm company tolerates but you 1st as a student in Moscow in the late 1990 is a connection was established between comminatory on the 1 hand and particularly around problem of increasing subsidies of increasing step sequences of random mutations and random edits series on the other hand the scope of this connection was an extended greatly In the form of a con carne J. J it was this conjecture the conclave was the 1st to resolve and he did so in spectacular fashion that they needed to resolve the conjecture but get beautiful it's national on Route while company ran the Magic's theory are connected from detail calmness also plays a central role in the course of the work together with Richard on the statistical a mechanical problem of melting QB crystals in and not another area in which it at Concorde has made fundamental contributions that the area is a new editor of algebraic geometry and this is a subject of can't counting under appropriate conditions farming on direction of Whitman's worker can't concept which is where a Kong Copan Can't Hurry found that have obtained the particular extraordinary and beautiful new formula To make the count new situation again from the tourists who has a key role photo get good OK thank you thank Bursik a for the
03:05
introduction and I will always remember the summer of 98 of the 1st met in the office and Koran and new did the preference of your work with with the bike and you have the order among the solve anything that grew out of that Proprinter won't kind of thing of of it written about today and I of course all of our protest from of this Congress have numerous knew the bet a new rebel thinks the thank the organizers for butter particularly like the thing professors Billy Owens but wants were Rozel August technical issue of how could the bulk of set up but I'd like to play the on mission history and what the animation so what the federation illustrated the mentor dramatic that I bet it if I'd take it did liquor turned 1 of us might also that this was not of so if a 3rd Beijing general points of the planned be well for us putin a rut Russia and the rest of the pathogen of 0 maybe parameterized bite drop rest clutching someone public variables and cubic begins of its occur from
04:35
degrees 3 and be discovered by prisoners he answered by chose a general points on the plant there will be 12 rushed out to bid for that the new bills points are so wife was sober got to go back thank God the be a good illustration with introduction of the kind of her accounting problems that will be what the lecture stuck if I think crazy over a degree Kerr degrees 30 in the just Apollo level degrees 3 and bearable flexible I'd still be my other and if I am but there's another pubic passes through what the best throw point the winners reasons so if good will cut down the demands the wall of the source but if if I were part of the condition but did that 80 up the wine like a big I will be the want around her right leg will be perfect ball of the foot the group's report left to the group's report warmweather abroad should serve as did the band of the on the eve of the stripper Susumu off so what's changing shares the kitchen off so if if Javier we get the rate equation if it with that tickle there with the red curve and of which said she intended to get the blue sun out for general public spilled of tea assume we get the most pubic and the and has just what culprits numbers of folk like of surface of a bonus but there will be 12 vessel built was for which we get the hell out of the singularity what we went through branch of Intersect transfers and that the global instead of being generals want her to get to observe a cover and parameterized body by Russell Funchal swagger so does and will be internal problem Dole with 12 complex relative to prod the Ridgewood with as others this explained was illustrations by the 3rd 12 wrestled with the new baby points the place and should also did not as before the few does not work make a knife or problem for all but the subject of the flesh now will be and this is not that this is not a purely theoretical book 1st and it's in back in white and some other things about being buried at some point I will have to have the actual find attributed it to be fresh water from 3 point of it it's a problem which is full of are sold billions of liquidity went up mainly instead of studying and services will build cantankerous international trips space regret where work for the sort of person plan will move we will at a curve space more generally of threedimensional now it the proper lecture is a new image of John corrosive what kind of what what is the kind of pressure that will be it song before that smooth preserve the before and for example for the purposes Of the lecture if enough to prove or in the case by experts of the dessert this is already very interesting and reflects song with the degree of the car and most us Comair such cars set a genetic condition of the 4 big through for rich enough about 4 . Miguel about the 3rd for some when general cycle in fold fee and so of course we would work with like the Met they B a mob of concerns of report on the cover with the mother of the freedoms that we have a store of some there's some demands on God would serve well hot on call parameters the curve of students and the good the bad and would like to oppose cement just enough genetic conditions so that we expect finest makers satisfy the Sobel homemade boat an example of a book of the same spirit that have the most urgent advice if I went to the 3rd again rational curves big budget is of like to be set for life that is what you do you do it would commence yourself arrest occurred from for life it is in space depends on just by writing about Russell wrestler purpose something confirmed by bristled the 5 you'll see the goal the art 23 profits and it's not 23 with the us 3 copies of the calls point and the point is a good match the revived the 4th vendor points that would like to
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the ship with the skirt and on the count of this'll behind of the get a class competition somewhat harder and 12 Butler will discuss before soap a half an hour course this this kind of competition go of there would be a into a but they also interest reinforced by by the relevant such numbers of recently acquired in mathematical physics and it's not because they individual number of for it but was much more important they the structure of the culture of the numbers displayed so what wove cost compared go 100 what is this room is of interest agreement instructed think the where would what what's more interested improper exotic above but some the that of some going structural about the but also Walker Cup and structure appears extremely respondents with the resort of time 2 expand from the start but then Weiss if I some area but the problem the release of around the instructor will will submit all the start of the mothers about I received can be found inside the problem before the birth only mile limit of its peers with talked about what they say about the brand
11:23
image of the structure here is extremely rich and so it's a lot of the princess right so why we're interested in person 3 4 the way the revolt of distinguished for rights of results and 1 of them was the of by the end of the threedimensional the critical critical that it's critical for if you like wakeup call parameters occur fraudulent agreeing to it in bright that big band of expected to mention that this it was a good number of parameters also known as modulate but both on the seals of the it it bears all the data would whether you have a threefold of something the matter less or bigger so what's vessel but their 4th this expect dimensional 1st of doing the but independent of the entered growth was definitive wherein the smaller than and the case was a dimension hot remember when we when which would have the animated work force that's all relative to the June drop but their jails was Ursula going up in the metals doubledigit and independent of the jitters so before it can translate this From what will the Farmwood would approach the mathematics where the definition of what to do with me but for index and that liberal either bitter ways to describe 1st and go what some of of the recover cover and attitude of the Beirut that was there big enough struck remains surface so but I hope that's not confusing for you've ever interchangeable use real and complex picture about old all of the theory that I'm going to talk about the old or conjecture for that matter the old hold 4 public sphere of the complex's Muslim variety but some of users of real picture just 4 was itself so it with a curve in curve baby by privatization but this the David Baker remains the and from the ads for example arrest for me to do but the thrust of privatization of the of Big Three of year amount of text or it may be described by the players and the other with described the and what occurs this is just a few minutes on local charge Miss what is north of it all possible occurred or possible Poland the advantage discovered it up you don't look for some minimal set of occurred just think them all and this With the culture of all levels of energy performed for its alleged in the riverfront in that court charter as about the global optical coproducer and and all of this is why we have fought well to
14:40
recover from Niger Madrid future couldn't think of a better picture of the woods yet explain later 1 of the the represented now the source of the danger their practical would for for example if I'm actually refined if I to drop judges just just for the purposes of preparing this book I have to draw some from 1st and about either by doing privatizations in Maple said what vs. Deridder grazing will be fit in with the war and of us is the figure fell carried over from beer From mathematical its point of view this is the 1st perspective the strength their respect for both would be the of the world was and proper duty from about so this is the 3rd Virginia words of problems with facing new conservators somewhat simplified what built on dramatic simplified competition their wares from the point of view on was really well but finished in the car as defined by prison you should think of this source of bought the villages those of the right to pressure from the perspective and a big perspective 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of the of prefers and course the before a precipitous on the adventure mentioned this but this award more complicated than presented here and there there's there is just a defined the skull How did the cover of entered the generating function when very very serious shared mission customer was with the what's called fundamental glass and have been developed by by of found vacant but they can draw with situation and bound by Richard Bove above the subject of his rigid the search of the brutal fundamental above the law but there is inherited Stewart crucial dimension but fearful doesn't those work so far so now we are we have the generated West the function again before Brazil the girl with the jitters I defined by all the figures because of her subdued and where the body the 21 the same thing with with all the doors it's instead of through you region food would the cotton finale but not conjecture and Circuit judge proposed the public years ago emotionally native about but nearby is that while this fight there is little not recalled there's there's a veritable censure bearable Muslim name with fury might affect financial oil riches of remember will being very impressed reads Inc a line in the in the Russell under book do best wrestled to buy it is 1 of the most beautiful forms matter because the combined folded brought mathematical powerful such as want to read said some Pope Pius missing but Brewer got some others some of them before the October south of Susan thereby photo auto suburb took knew what will 1st ready what because the the fight there were defined as formal but what was learned with the formal 3rd with no discussion of convergence and and so does the statement What Cheer weird brick the statement about the battle of the same penalty by different points and then do you think a little bit about what does the statement of their responses the speaker analytic of different points would comply embargoes on their motorbike implies that with the sponsors like the rest of us and tho To do so and this is bubble for both of us are for the purpose of the storm but there's a general set of their just along the lines of the but marginal said so the book I'd like to to report on recent progress that we did together was with emotionally a blonde robe under of approved the conjecture for a door fearful and particularly differed so what their supporters authority therefore this is the 1 which evolves rector of the because of his that was not norm for example the old called on just the 3 space River just failed every of the Court of by complex number clearly that what was known as a reporter was killed through any other point of the of course of those form open orbit in order to the productive space would be an an example of an odd like 2 of the worthless larger electorate Kirkwood go over big song not approved with all of the essentials of the group and the dues as does the proof 1 what reached it was fed up considered what's called relative risk a web 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visionaries will be discussed tomorrow but anywhere there is aware there's there's a there's a certain sense in which I can take lifted rigidity in a the cost of the repressed it would made out of here's a thought because trucks and despicable the basis of which are With the kind of tripled I was in tow and move on from Sept said but there will be 4 0 buzzword effects of such a just and active analyzed however fizzles separate for what just before a World Vision advantage serve but the colors but what this is really are the artists into a relative for the whole nite illustrated by or in the case were prepared facts which of the more the heart of the trees soap what's the birth of the birth symbol is the shorthand for secular purpose for found and the particular curve count would be beautiful and that take care which is the product of their project of and if it's for a caller told is just the most of us the and I have this at this point is origin 0 0 0 the 3rd with reporters at the door the origin summit of the car that I called others the they cordoned excess and their relatives of the 3 West prescribed tend to completion of resolve which is an example of a curve that lies please some neighborhood of the recording Texas and Stuyvesant painted ordinary points or course professionals want what before they covered rural school with a petition that the petitioner 30 the problem the public sector multiple terrible with because of simple . 34 of the petition there's a petition but 1 and your habits since the bubble point so put forward here and here I was my attempt of the drawings of the multiplicity of above there's of triple computer so what Bush and just put repeat the same thing that both verdicts represent the ball rolled off Paris which are your neighborhood of all the union recording Texas was the subject matter the Lutheran Infiniti them up that was a big reported by the superstitions and without being very 1st composed electorate which of what weird bold vital North so so both ends of a bucket by more Corsica and from of the source of if you don't molds and that they will not be numbers but the Belarus and the waterways 2 0 0 promos ring Rodrigo more drinkable point which is nothing but they just to Thresher function and interfere with what they wanted 3 in Toronto but if it is just that element of the Feldman it is just an element of the Leon to wrote story as ours the 3 parameters Of the period so what we're really is approach but not to the global correspondence between 2 variants of or for global careful with factor approved because individual cases of this prisoner and local actually met Annabella whether this would provide about procedure called but told the trend is not a motive in principle but rather practical so it's so inventor the soul searching for linear differential provisions brushed off into the Madonna so what it is some of the 3rd but this is a greater share of the source of this occurs in the Russian Far another someone listen 1st Lofoten the of the what do they do that old competition it in I thought like you have to compute the individual numbers like 104 of such a of every number but still but you get the whole generating function by Rutherford Vermont now burst of the did this point would be measurable amid the PRESENT approved through F the flesh for will without part or both to both or both but I should say the table for like formal fight hope will will discover From hoping the elect worker for most of I can't west of both Will Vogel will discover things out of their way and what because it's really bandits about mathematical competition and also was bottles cable just also of through through something beyond the form and what before author of the report the goal this the 3rd special this is the 1st of those decays went well when your for right up to be old recorded over the this noble spirit album with the adults and and the Jews there brought the specialized do something called topological something called topological border for what if a bus doesn't but the Goa give the probe of the public Roddick's form the ghosts but with the problem Herbert it was striking inside 1st conducted by got Clem in involved the number of us 3rd well but this since the job figures Furcal and a lot of the people the beautiful coveted because of the way the topological forum with authors of the journalists and injured 50 or so but like to prepare them Ford so far short of the of the conjecture and was just 1 example of the kind of pressure was so what I'm hoping for is the better representation understand the article triple but and some other opted for serial rolled abroad but is is this is Bob a poem Pugh repose risk officer Russell washing and she wanted to do and depends on 3 British for their country classes and symmetrical or any of the other country From Petroleum of from the petitioner current representations it and I'm certain of the others they're very soon will have a better understanding of come the world representation terrific natural basaltic both remote hoping to make progress along the lines of wide other triple to join and pretend 5th there's the goal just just registered something still missing something of something that I got here who is Becker conjecture that the verdict could be Apollo so was the focus of the dozen for it all from the fear of would develop because of the F role trip we can only approve the threshold functioning with both cycle from the moment the body but all along with them but is just what the example or quite things the thing phenomenon that sort of thing for more of going around what of 1st was just as of the with various there's more the court conjecture bears In Search of a weather was so any algebraic fearful which the portal relative but of course to wide open the dismal the birth of the world's 4th