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Moduli spaces from a topological viewpoint

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Automatisierte Medienanalyse

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If a it is here a mild last morning talk by Professor Matson on a motorway spaces From But A logical point of view how Could more nearer warned try Get some murmur If you prefer Yes so I'm going to discuss Where a new resource from abroad if you want modernize bases And the word I'm going to talk about A man is useful He knew that the status as the bad paperless with these The mayors of combinations so that begin by recalling solid something your own Mel mean that
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So you could not supply The move the Coalmont dimensions gave the market Give a call market dimensions Kate trust Show little about these Rated reach the messages some saying These were saved the high-dimensional hold the space it so I can illustrate that But That If If We just take 1st we had The 1st call on groups there in the 1st column article next year that's copies of the incident use so is could be read out From year from the call months of the year of the 1st full month of the source Now what the problems with this would Martha Based in GATT is that it's a singular space And we don't know Almost alone almost nothing about the singularity of the soul work their various ways to get around that Who to take some not sink you have Club Of the space and the matter is that which was fine off of the of the did more of the the service provides starts Announcing the color in the sense that testifying base maps in indeed in such a way that year That Map and the other waiting for months juices I assume office on the phone while at least if you're At about to nominate as if you take the core with that of the rest of numbers In In the astronauts also say so you These classified He that has far followed Robertson if you take it back from the space X in troop Gamma team Then that The juices of covering space Banerjee And If you if you if you have to laugh which a whole lot Then they they use isomorphic common spaces so were there the cavity common spaces ovalis base a rise from office is same as Nafta 8 inch disk That defined based laughter a whole lot of all come back to the means and the nation of began to you in a while monk what data now is That But of the Love of began at sea Can be written down so In the short or explain what part that is to say that in In the mid eighties still have showed that the case column on began at sea is independent and G as long as you This much Bigger than that Nova then take while Big events will pay plus 2 So therefore want to define what for the stately on Monday on the Of began by simply saying it's case the case stable home mother who wish to be the case called model will be amateur with which Compare to pay for the purpose of this talk I needed now Conditions on Space which is deformable so well In some seems to be gamma GE But It's a much bigger space and and the but address But I wish Lots of logic viewpoint psychologist based in Teton Soto 1st define a new type in its simply needed to consider all Services in some caved in space Also services With years G for your apart services in United We don't know that Right now we're take services in a much bigger Euclidean space Now if you have surfaced In a new kitchen space but they all think so were too if he would He then you could take a representative and take it film office from if he lets us 1st show you it and they knew as 4th embedded in Euclidean space so you can go so you could read the statement by the bed And they well The fate of If you if you if you're changes that betting that film office on FTA then you get the same of so this base All So this is not In that bake Euclidean space is simply equal to the base of it to the open space of the embedding smarter the different Wilson book written down here new If Here that's sold by Eddie based in the space smooth ending with the weight of and beautiful convergence of all of the river Now so that's another way of considering all the space is another way of considering via the the of of of their services in Euclidean space outpost of him Mr. White played in space then you could give me a good thing about living in the space of 1 dimension higher A senior vise Adding another What so you have a whole sequence of spaces and the union of all of these years The Not much of base He saw that I that I want to consider here if I ever served as a new kitchen space
1 then that has an inner product from should space just normal the usual in a priority in the end In the space mistakes so would unify money and fight Your mind station that was assumed be reconsidered lawyer in services and if you have Both product And the condensation and you know how to rotate the time trial with tools so you know how much type II In other ways in way of saying that used to be had Complex structure that tainted fight Show Show that In a Euclidean space on the services A nuclear produces a complex structure On tender 5 That is a complex structure on attendant on this Implies that the the map from space It is tough In cheat And that editors also These singular All of Amata MySpace Now this space The space Of embedding in if you're dead in a photo finish that's a concept of space by of which lead and those that the since we're talk about do better than that 2 more from the air I mean freely on this base of babies and the term And in top lawyers Years of West a Was sealed spaces left but you could also who could also take Betting base and you cross with the will the of the surface if he'd and you could divide out there that they threw more both on the surface the next on betting should take that all the space and that But do by predicted the photos that would give you man had been sold In each off and that is what we call a universal if he keyboard That means that the space and the Seoul asserted that that whatever written down on the year on the last nite so it's even The statement said about About excessive based on eve of the manifest who may be If I can't say that smoothed by A lot 8 After isomorphous medicine Equal to the map from makes it so suffer motto Paul coexist But a much bigger version of what I just said about the party it he And the media That's right down summer we hear what I said Chu Show Because of the because Equation here What we have such as saying that we say that used to say that That that's a statement snaps into what is based which we wish we caught if showed that that's the 1st part of the sovereign debt In he is After deformation this They say Massive based on this A few more however I also states that the United that the components of the film Contractable that A few more itself It's the same lot The information as Space Pope As soon as basic components of the group book component which was Madam traps and that also means that the actor That day Jazz I spaces like we were off defamation that system of road needs and A defined this next data from the year key Top aims G and be a few bad debt on Monday and Tuesday nominated as signed by the way the rest of the nuclear matter more so in chart is another way wave should consider destabilization of the Booked The big input This 1 on with a month data which said The state There Of the map fast who it is That was They and that's a mean and that really simply upon in in there in a in some EU mental classes have I 1 in East if we too high I should also say maybe that when Mom what made this country in the mid-80's they it was already known of mean at the same time a mail and reader had already proved that these are normally down in the in the classes have 5 Then That was contained in this in so that we say what the classes have if you have If you had a bundle of a smooth Most of the bond with live but the fibers He used to be that you can't take the tensions along the side of the of the Obstruct But drew There's also when new When you a there's also met in which changes to be down by 2 of the monthly Total based upon market it from injured played out The fight evictions and that the cat classes come from this Map in the following way you have Oregon If this fund will Let me know Oriented demands by the attended bottom of the side with that's same having context fondled and takes a 1st class You could raise the I push the power and the new push at for so that's what the classes have
So they actually classes in the inn's will call market and by the year by the year among data justice That means Only a statement about Mexico's former My foot The next thing I would like to explain is He is The The odds These services and modernized faced with fear of and told 50 years old so the Hmong about Borders to but before I would say this about What we parted Tonche base So let's stocked with is with the in dimensional Oriented makes upon what compact manifold and Of dimensions The Tonto Basin Basin defined simply the 1 . cases of the talks So I history that In a beach Figures you have the year the year of the bond was based here and now you want compact Viet so you get something like it's now there's some immunity be funded important facts that I want so well that I never want to point out the first one is so obvious from the picture namely that complement of the based And in the Thomas based in this 1 . com rectification that forms to the point of this is just follow the alliance Ali Khamenei Final Basis The horse on the nite of the new just fall out We in a continuous in favor that since Tom places like a local station of The year On the body Not only did And on the base based on loans still say the same thing I want to point out is You Tom isomorphous which Me I've home on the base Saying CIA trust in full Monty of the Toms and then finally the most important thing for from my purpose is to upon so-called country song for that matter So now we we could say that D dimensional manifold In A new interest fees based on manifold before we all we look services but this is what's needed more Dual context so a lot of symbolically manifold by neighborhood Opened Norwich you amount that a man Drawn here Mr. said to isomorphic of For course just expand nearly out these material that's what makes but you just to expand that out and into the food normal so that all want This is really the same No 1 of On Of The year of the embedding of Indian I interest now when you have scissors so you have Old stuff safe easy on Do I do You European based and now they want . com predication should met the other ways you should say a bruising outside The 2 be into the point and affinity So this and that was the 1 part company faces cleared in space that's a year that's severe dimension and trustee of the sea Fears of man once have bidding And you have a tube abounded then this Map the forger song For that That from the severe into the Tonto Basin that matter In some ways of a convenient way Of their displays all of the hunt in enormous structure of this In baby show of force It there's also may have an eviction if you have an Athens was Tom based in make that transversal Association in in a manifold off and that correspond which 50 years ago was used by some jargon and Show Manifolds optical What I want it back to that Show Now I want to be a starter Manifolds embedded in He knows in In Euclidean space and pick Euclidean spaces and I want to make that in the remain now want to enter into can't make that up with a year With this the space of West men So I a space West man in West he of iron must be seen in the face of these stuff Bases The European space I trust these Chief Well that face Senior bases Of the mentioned beat United interest this autumn They knew you can't say the fears of an element you in a nite in 1st and hand A Dedham softly and the best man And then you so that you with A mail If Start to be That's an individual bond over the West man in not a six-day plane that now we have a situation where we have what we have The manifold In Bay this is another It is not closed BAT and leave the peak the nor to wear that section of the unique from Mason still We can get Without delay Without changing in saying nothing has that situation and the And we take a point now In Indian Point excelled namely that of course we have the tendon fiber at that
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Nachbarschaft <Mathematik>
Gewichtete Summe
Ungerichteter Graph
Gerichteter Graph
Kontraktion <Mathematik>
Analytische Fortsetzung
Kategorie <Mathematik>
Gebäude <Mathematik>
Prädikat <Logik>
Sortierte Logik
Rechter Winkel
Orientierung <Mathematik>
Folge <Mathematik>
Stabilitätstheorie <Logik>
Klasse <Mathematik>
Mathematische Logik
Weg <Topologie>
Algebraische Struktur
Reelle Zahl
Affiner Raum
Topologische Mannigfaltigkeit
Berechenbare Funktion
Kondensation <Mathematik>
Stochastische Abhängigkeit
Sehne <Geometrie>
Offene Menge
Abstimmung <Frequenz>
Natürliche Zahl
Element <Mathematik>
Komplex <Algebra>
Technische Optik
Einheit <Mathematik>
Stützpunkt <Mathematik>
Urbild <Mathematik>
Figurierte Zahl
Lineares Funktional
Topologische Einbettung
Kommutator <Quantentheorie>
Arithmetisches Mittel
Körper <Physik>
Gewicht <Mathematik>
Physikalische Theorie
Inverser Limes
Zusammenhängender Graph
Leistung <Physik>
Einfach zusammenhängender Raum
Matching <Graphentheorie>
Euklidischer Raum
Orbit <Mathematik>
Physikalisches System
Stetige Abbildung
Objekt <Kategorie>
Singularität <Mathematik>
Geschlossene Mannigfaltigkeit


Formale Metadaten

Titel Moduli spaces from a topological viewpoint
Serientitel International Congress of Mathematicians, Madrid 2006
Anzahl der Teile 33
Autor Madsen, Ib
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DOI 10.5446/15964
Herausgeber Instituto de Ciencias Matemáticas (ICMAT)
Erscheinungsjahr 2006
Sprache Englisch

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Fachgebiet Mathematik
Abstract This talk aims to explain what topology, at present, has to say about a few of the many moduli spaces that are currently under study in mathematics. The most prominent one is the moduli space Mg of all Riemann surfaces of genus g. Other examples include the Gromov–Witten moduli space of pseudo-holomorphic curves in a symplectic background, the moduli space of graphs and Waldhausen’s algebraic K-theory of spaces.
Schlagwörter moduli spaces
mapping class groups
algebraic K-theory of spaces

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