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1/4 Exponential Integral
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Title  1/4 Exponential Integral 
Title of Series  Exponential Integral 
Part Number  1 
Number of Parts  4 
Author 
Konsevitch, Maxim

License 
CC Attribution 3.0 Unported: 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. 
DOI  10.5446/16280 
Publisher  Institut des Hautes Études Scientifiques (IHÉS) 
Release Date  2015 
Language  English 
Content Metadata
Subject Area  Mathematics 
Abstract  The goal of the first part of the course is to describe and compare various cohomology theories for algebraic varieties endowed with global function. In the second part infinitedimensional applications will be discussed, including nonperturbative quantization of algebraic symplectic varieties. 
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00:02
Russia and is that this the view is removed a final year of and your may I stopped as a series of 4 lectures for lectures future parent circuit worked will literally to subject vessels that were off the before lectures they will be brought fund dimensional exponential integrals 2nd lecture will be bought both bond forms and causing structures and and a sudden force will be infinite dimensional story and applications to with quantization longerterm population sources the total bill quite different stocks and traffic will be quick to defame Inc see story so I'll start Gandalf shows it into rule Jiri wooden also manages neutral which the rope fight that end but somehow I want to generalizes Inter Milan googly religion but think more general or what can integrate let's reintegrate still them on what would have been too great such sink or what ever is on some pour lost some use Berlin oil riches duel of rulers as examples 6 and G it is also the richest arbitrary or due to have a degree German medicines strong it doesn't individuals some past about what will be a would pass fossil lead glitzy in sealed in with a range of Simi algebraic class reading of a will seem algebraic Lake will Lionel real glacial minimal wishes and Sanger a real part cover Mr. too fast and the golden she did it will print seemed using new Potter will be minus infinity closing digital so be it a South Cove a convergent so that have made such intervals but clearly that is therefore 1 Cecil Cooper later if you are a most G and and past intervals but arrange a sink into bills are the only when response with a intervals the computer was just we are Western Union combination as Anders seem depends on phone from older plus of bars and Gomel the glass of this form will yes there are not just falls Boss looms as intervals depends on the Komodo glass or 2 there is no way to know what's a similar rate as is fastest emailed rape and is it's working cultural Simonelli of is interleukin because in some vocal cord dysfunctional rule like a fractional borrow parameters at enters into cooled the absentee episodes of work Top so the than someone from all the glass of busts of gum on just Walter blast of vast and replace could soon element of fulfills Carmel group of the PRC and they consider subset of minus 1 off our members draw a border drawing and roses set off by points see budget thrill Poppel receives settlers and minus chief and cheese it is assumes a tease a large or will lumber officials does this abroad group off around you might want to do is to away with that just for example if my function is my car is its good basic example is what we should draw privacy and consider them a member minus 6 servicemen image of work real popular just 2 pieces and we can connect them With gives a call to play is somewhat group the lesson is that a alleged in Urbana was empty for example if a degree of you reduced from 5 few and you get the picture that we have seen that you'd think officials with them maybe 5 demands Real particles to Encinitas enters a basis Oh Wolger you can choose to some intuition that this is an example of the basis of promoters of the bear
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a surrogate essentially D minus 1 interesting bus and what tumult due this function but let's consider the board the consider beast around complex about rich Moses cases the following conceiver resumes just but animals and X and goes by air from which it With a D F differential plus medtronic is so if you will I don't think so on some of consider some minimal G G Force toward the ghost of Jeep brand image of Hollinger past and then G and Knicks the goal is see differential at and where wrote because if you multiply by exponent of Toby can isomorphism here you just consider expression to shepherd animals next there's export most of its arms export games game on false this will be just usual differential industry Freud algebraically has opted for an exponential function and as integral again depends only on goal multiple us off or GDX juice wasn't for suspended you should put some muscle that subject so Gigi different orders the image of this differential and go missiles a calls us complex only 1 so here's a smoke are not sources for the sources glass GDX 1 of complex resistance to drop that reaches Simmons cases off we're sort of mortgage remission I'm more both ways in which causes met on this basis actually a game plan and I to them to Barbie want and the bassist about I June representatives were gunned down as that of the X or reminders him that cities in Glades it's over there for example Ford equal to wrote courses could erode poses trees don't complex looks like a looks like so fondle storm and functions and square and Texas you can also get a fish followed its Piazza is a dick in Huelva but the dancing with reduced to only wants to contribute to different now so that's is completed example jewelers exists sinks the storing all algal general said that food Sosa to have overall ingredients of 1st cover algebraical small Salter break but I can fall on numbers of dimension and as an I theft but some ingredient choose of prison before I will have a son break subset of small them women she Simba is a negative function right to its readers were deployed you but never former Expo fine land computes number suspend button among Court 3 Frist fictional structure shift on my right to Zenica which appear the some 14 form reaches a WE Audra break forms and Bobby agreed but riddled reformer
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says they need some sick Her ritual be subsequent chain from degradation explained to his 2nd but before we got a before winter will have way should introduce this indeed so scanned by there's a 6th said did but because does intervals which were going a similar probe portraits therefore belong to cover his will be sums it reached and things about blunder of integration or I can have both nothing to religious resisting says called sums eclectic you want over key sloppily mantra function and its is called exponentially from effect is difficult exponential supplemented function and Co From oppose this case what what'll be writing this case farright userdefined land this is due being due either just 1 . 3 per function is vinyl sex and former East DX both X testers going from 2 great support function were only their own XEI is called Texas by the pump Osiris tickets online usury Texas Texas he was he the Our created by the end of arms from sorority that's it since it as its in food With some point give each this case filed ranks somewhere I took to star under that em up it's it's it's is she passed out in a chain of integration of the MMS that's also be beat careful their boat shame what does this team Gaza chief will be there is a former could still be some barriers and somewhat and ICI some find it some 3 CIA is oriented the and dimensional similar to rank of many faults in the North has is no not it's all about it's it's going through all it was thought by conceding juicy into simply Lake computers part of a real a real signal to break submitted Fulton and act is a property and such a C has it's kind of Ricky friable set his fictional Mandarin as soon as it's binder of sup portals of differential is M. Johnson this was a your and and as a 2nd sea creatures is a former gift consider real pop of half from Fox visceral commerce and mystique was a part a total support and Aristide was a uh and its supporters see should just union off of this different somewhere actors but as on this it's map From for Clark is because the properties if Bond of former boss said James at soup pop affair for its listen sometimes as supporters listened post on the 2nd smokers brought look back if you get such a situation where just want can
20:00
integrate all the chained a physics 1st enters its 1st as into ruled be absence a gun roads and who that's positional forces onedimensional story about a year it maybe I have the end does matter El Museo Wyoming minute boat was sunk on the groups the exemptions we never globally from education and 5th fastest and that so Oak lulled will notice it would does he call molded glossily pummeled a colossal on past belongs to what I wanted the script where noted series will a much but so 1st the new find so close such yes to Duke scanned ripped set for and but this is mainly forces a set it so the subset steel and finance Anza did uh what's addition of a subset it's a a follow its point to enter Bolger change of the fiber of 0 Moapa says define what is a complement of dissent busy is not here before Herb Brooker for patient video redefinition is a fulllength as an existing openly quote you off Wednesday you just see what go broke so the open labor court and plus says it always is my caught my eye were Federation as is subs that X who is locally so it is a distant homomorphism in Quebec and you would want are compatible this projection for you is that was committed to again trivialized apology acrylamide has said that is a seeks also restriction the subsidy conducive woman refusal of fought off an art interception this cream each is D a miss are interested images of the Knesset visits as a success locally still a a a claims its hitters have voice except find Dominion and for wool Wetzel on visit explanation Provence led all look defied X and Sosa should be extended his 4th occasion for you want and a isn't a sum of Rick Foraker continued tax as an expression of the minus X to be some vertical part which is and Fini to Bunia some quit Uncle Bob is some allows some erected some kind of Rome and also cover of things D desolate of require actors may missing since set a histories supervisors set in a production or that poll affairs circuits locally constant except some 22 minute points so that the assists a foreign funded said but and or borough Lee watches From Aldergrove punk and considers a fulllength wears the rope Richard the old isomorphic which has a Jessica said the each Yukon Wolger off X is a subsidy and during Aronoff have a nurse James Baker it is the same story before his integer confusion both minus steel is lessened real pop a knee pain easy I read it assists busy I said of my friend is critical because if of consider the bring which gives a sinker still doesn't depend on due this Mitchell from wanting to another all eyes were physical so an old Asimov which has a also wanted a adults isomorphic the same scene but they think freeing each knocked off the top of the costly but a point to the cop where are the real Potter eager is listen real what was it's a game a it discursive image of what because some but want put look of a group of cough Lanesville isomorphism so did my naming a groups each isomorphic each as a and uh called all of them does by 1 wrote a beach really got to be degree cum agenda and there is a real threat Eds f and is former Mbeki Kansas can provoke up Bolger not Zaritsky apologia for building a note and so was a colossal Belmar gun which was seized each Ella it was on a mission can mingle dimensional focused on regional allies multiple so the fast in all our food we should do some secures a form and Toots those are completely similar studies as he stood there on complex
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they have been F leaflets bordered by day of that that gives me here differential form using complex of chiefs what next to him up but as some pixel shoes most lurid careful I from a bullet in Is Arista couple consider want algebraic forms and governed both break open sets was we solicited money can you find a V said that Uncle Mojo is a fall Inc arson might have better but just 2nd I think it needs might wanna assumption assumed the that the Yankees new lies urges normal course that s as it is to be Dewey's assault or circuits urgent space should smoke and not a restriction adult recalls Is it can block the make block please by devices Corsican doesn't change in nickel Moldrich reconsidered fiddle would call mold of Christendom real out and not to Saddam a defiant only for normal crossing into doesn't advance on wasn't all Omar because yeah a note of Virginia the formation Come on DVD single arrived in the region conference not if it falls manager Condi he said restriction use you yes this is due to preach Kabul 0 here that so consider Yosef containing SOsub complex is different therefore it warming is deemed art forms and cause restrictions and DEC union with some realizes was components distinction beach and I is tho 0 now and this sinks a thinker defines as Capricorn all James Arista agenda 4 of this complex of Schiff's group killed dead it is clear that the interval is truly a European record is a forceful if you get is my form which of water form that have for contend effect is also belong store because it's the uniformity Manish funds and bonds it is on tours I'm articulate and falsehood have Duval informers euros poses no ample Sloan falls but do form and have always euro that skill by differential global sections of different figures Glass Kansas cover Cromwell John Archer but her water won't receive the exponent full approval 2 inches is sex in the ratings it is it is abating between called a of a surrogate Chilean and what else there is a very moves from this week to from Audra around those close to this and that will oversee hazardous complacent isomorphism is as rules this kind of be Cuomo after the speech isomorphic drunk the use of its and story that it's it's part a monk and could full of what what the police in last week's here also gives it for free I since it was over I think it was postponed wrong because memo grant hazardous composed as well I'm not sure yes now if considered In not as a risky you get just Connell joy of their X ever because you apply brakes pontiff functions and interface his usual forms NASA's that's completely wrong for the foot and finally to Kabul to close or your III Thierry is here at I Boat Cove Oracle glitches musical booked occasional stuff to take some kind of 4 Pfeffer now work a break Carrollton also figured what kind of the Bulls go bop Baker said for momentary forget the boat was a skeptical Mauldin this sink and us from McMinnville right to do much but as such I think we should said some kind of on cut order to to get excellent boat was a speech sowed so I still have the polling station get makes bright some snow on Oct farright on the building brick where I can see Rich convinced so we are 3 wisest result a logical and some glorify D it is it's only normal processing are assumed that this will be journalist some different sponsors
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46:08
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constrained constrained as its is a small group that water from the sink was set on the wonders of Moses but that points to chief of the assignments some also here it be his about said does it really
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matter bunkum reduces similar similar algebra Simonin break them it's just Korbel somewhere that them for any such think again as sort of a meeting room her Richard and also CERCLA by 80 of this bit of deemed free breaches a peaceful mold will force bear the full effect image of news and they can gain Huard set Chris premature your have twice on and intercom oldest proficient Kansas were called off fresh losses as and is it the former sink this 8 p if vessels to resist a Association these comport boardroom Bondra it is it is a local system called the space of his mother such a Mandarin that induced the Dutch set a lot offwhite London from courses Red for a hard to think about something for Universal space but firm that's former local system ever such as anger gets restriction reps 1 news contains another if their music will commit crime is the same point because I'm a getter mayor from 80 for DVD who came over to press its again local course threat if a new form postings does so what Pappas yet again I just need a good brand him some but once they want both of them some of them because have just the map of Paris I just get restriction was too small space it's clear and and displays some kind of attitude Exxon may relate rut imagine situation I'll exists that every detail of religious belief from its smaller new continued Grand Union double brand and there's no point once but points in the middle of a huge here I'll set so diesel make at these contains small disks that all points will be part of the same them I was addicted to proper to a fulllength movie a hot or not I said that it deems that did it and Ximenez new prime just processes of this condition In India spent from discontinued quoted what a islands as giant and when he defected from went as early as on what they have this station restricts unless they they get a mayor from PG E met strong brand name blast marble brand and hit a low certain je miners intersection the eyes a unit of now led 6 unless they get him out from a prolonged to another room get products some and that is seeks his isomorphism yes I get is good it is a different type of structure which they felt have whose is sufficient so what as a relation of this Schaefer constructed will shave ever uh Missouri says is a fourweek Zedekiah's minus as the score Of my Schaefer you can be written as 1 of the spaces mainly deemed mayonnaise careful pose a fulllength picture here be real busy and these things as zombies said disks you choose any 1 of them and uh you defend this exist it's not really fissionable searches take OAI dinky 5 months things to do Another it's pretty complicated story but a similar story if Z amongst as part this special points as resolution draws a fuller picture you should you should just exclude point is EIA to pulling me and all the rest will be as is its initiation it was at her and said she think room Hey now but we Pfeffer so what moves Luton at issue on this books but they get a goal was it any good disks and some restriction maps and Eddie due to X and it looks selection Sematech smokes you've read called off there's some Winterton proficiency and you would you think in a way life fond of age from what from the political spaces where operators because there's can make plays by the political space is based buoyant my conducting grow 6 0 both the basis these point whom world including IBM thickly wooded does have to be groups Skoda in front of its up over quarter but it doesn't should be a psychomotor Syria is his only want property basis and
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00:00
Point (geometry)
Maxima and minima
INTEGRAL
Real number
Range (statistics)
Parameter (computer programming)
Rule of inference
Complex number
Subtraction
Social class
Series (mathematics)
Forcing (mathematics)
Element (mathematics)
Exponentiation
Basis (linear algebra)
Infinity
Mortality rate
Cartesian coordinate system
Bilinear form
Functional (mathematics)
Local Group
Field extension
Geometric quantization
Combinatory logic
Dependent and independent variables
Directed graph
07:42
Point (geometry)
Maxima and minima
Complex (psychology)
Group action
Vapor barrier
Differential (mechanical device)
INTEGRAL
Real number
Similarity (geometry)
Mereology
Number
Subset
6 (number)
Statistical hypothesis testing
Group representation
Manysorted logic
Lecture/Conference
Negative number
Square number
Supremum
Ranking
Subtraction
Covering space
Shift operator
Forcing (mathematics)
Prisoner's dilemma
Expression
Exponentiation
Basis (linear algebra)
Algebraic structure
Total S.A.
Functional (mathematics)
Bilinear form
Category of being
Summation
Hausdorff dimension
Network topology
Order (biology)
Chain
Right angle
Game theory
Directed graph
19:47
Complex (psychology)
Group action
Building
Differential (mechanical device)
Sheaf (mathematics)
Water vapor
Open set
Mereology
Subset
Mathematics
Position operator
Fiber (mathematics)
Covering space
Product (category theory)
Spacetime
Process (computing)
Octahedron
Block (periodic table)
Physicalism
Bilinear form
Fisher information
Isomorphism
Order (biology)
Right angle
Figurate number
Uniform space
Resultant
Directed graph
Point (geometry)
Differential form
Wage labour
Observational study
Real number
Connectivity (graph theory)
Rule of inference
Open set
Causality
Lecture/Conference
Integer
Lie group
Subtraction
Euklidischer Ring
Series (mathematics)
Addition
Multiplication
Forcing (mathematics)
Expression
Projective plane
Exponentiation
Set (mathematics)
Mortality rate
Local Group
Field extension
Summation
Homomorphismus
Game theory
Intercept theorem
Film editing
37:19
Euler angles
Homologische Algebra
Decision theory
Sheaf (mathematics)
Water vapor
Open set
Mereology
Subset
Mathematics
Oval
Forest
Cuboid
Physical system
Area
Covering space
Constraint (mathematics)
Product (category theory)
Block (periodic table)
Moment (mathematics)
Basis (linear algebra)
Infinity
Functional (mathematics)
Time domain
Bilinear form
Graph coloring
Hausdorff dimension
Order (biology)
Linearization
Right angle
Resultant
Directed graph
Point (geometry)
Standard error
Real number
Manifold
Rule of inference
Number
Prime ideal
Goodness of fit
Causality
Lecture/Conference
Natural number
Boundary value problem
Subtraction
Euklidischer Ring
Shift operator
Numerical digit
Element (mathematics)
Algebraic structure
Formal power series
Summation
Fiber bundle
Object (grammar)
Intercept theorem
Local ring
Limit of a function
54:52
Point (geometry)
Group action
Musical ensemble
Euler angles
Image resolution
Similarity (geometry)
Water vapor
Repetition
Mereology
Manysorted logic
Lecture/Conference
Operator (mathematics)
Selectivity (electronic)
Associative property
Subtraction
Units of measurement
Physical system
Condition number
Spacetime
Product (category theory)
Process (computing)
Theory of relativity
Basis (linear algebra)
Algebraic structure
Set (mathematics)
Bilinear form
Local Group
Category of being
Lattice (order)
Isomorphism
Doubling the cube
Universe (mathematics)
Local ring
Directed graph
1:04:48
Point (geometry)
Spacetime
Algebraic structure
Water vapor
Functional (mathematics)
Local Group
Discounts and allowances
Field extension
Summation
Goodness of fit
Manysorted logic
Lecture/Conference
Order (biology)
Normal (geometry)
Local ring
Condition number
Physical system
Embargo
1:12:47
Group action
State of matter
Differential (mechanical device)
1 (number)
Water vapor
Propositional formula
Parameter (computer programming)
Open set
Vibration
Expected value
Mathematics
Manysorted logic
Analogy
Square number
Partial derivative
Descriptive statistics
Position operator
Fiber (mathematics)
Covering space
Spacetime
Product (category theory)
String theory
Functional (mathematics)
Bilinear form
Category of being
Angle
Isomorphism
Order (biology)
Buffer solution
Normal (geometry)
Resultant
Point (geometry)
Rule of inference
Goodness of fit
Lecture/Conference
Subtraction
Time zone
Addition
Series (mathematics)
Numerical digit
Algebraic structure
Set (mathematics)
Limit (category theory)
Local Group
Formal power series
Voting
Dependent and independent variables
Game theory
Statistics
Family
Local ring
1:25:46
Logical constant
Complex (psychology)
Differential (mechanical device)
Direction (geometry)
Hierarchy
Archaeological field survey
Water vapor
Parameter (computer programming)
Mereology
Weight
Subset
Explosion
Coefficient of determination
Analogy
Circle
Fiber (mathematics)
Descriptive statistics
Product (category theory)
Process (computing)
Theory of relativity
Spacetime
Coalition
Generating set of a group
Infinity
Critical point (thermodynamics)
Variable (mathematics)
Bilinear form
Functional (mathematics)
Connected space
Category of being
Isomorphism
Vector space
Module (mathematics)
Differential equation
Cycle (graph theory)
Resultant
Directed graph
Relief
Point (geometry)
Ocean current
Wage labour
Event horizon
Rule of inference
Trigonometric functions
Goodness of fit
Lecture/Conference
Selectivity (electronic)
Integer
Hydraulic jump
Condition number
Series (mathematics)
Pairwise comparison
Shift operator
Prisoner's dilemma
Exponentiation
Physical law
Algebraic structure
Moment of inertia
Set (mathematics)
Mathematical model
Mortality rate
Line (geometry)
Residual (numerical analysis)
Formal power series
Field extension
Voting
Vektorraumbündel
Thermal radiation
Optics
Fiber bundle
Game theory
Local ring
Spectrum (functional analysis)