Maximal Green Sequences for Certain Triangle Products
Formal Metadata
Title 
Maximal Green Sequences for Certain Triangle Products

Title of Series  
Author 

Contributors 

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. 
Identifiers 

Publisher 

Release Date 
2021

Language 
English

Content Metadata
Subject Area  
Abstract 
Bernhard Keller introduced maximal green sequences as a combinatorial tool for computing refined DonaldsonThomas invariants in the framework of cluster algebras. Maximal green sequences furthermore can be used to prove the existence of nice bases of cluster algebras and play a prominent role in the work on the full FockGoncharov conjecture due to GrossHackingKeelKontsevich. In Physics, maximal green sequences appear in the computation of spectra of BPS states. We report on joint work with Gleb Koshevoy introducing maximal green sequences for certain triangle products of quivers. As an application we comment on the consequences regarding the full FockGoncharov conjecture for double Bruhat cells.

00:00
Classical physics
Trail
Functional (mathematics)
Group action
Divisor
Multiplication sign
Element (mathematics)
Product (business)
Power (physics)
Wave packet
Vortex
Mathematics
Exclusive or
Forest
Squeeze theorem
Arrow of time
Körper <Algebra>
Algebra
Cluster sampling
Combinatorics
Social class
Rhombus
Process (computing)
Consistency
Expression
Computability
Infinity
Maxima and minima
Lattice (order)
Radical (chemistry)
Wave
Musical ensemble
Figurate number
Cycle (graph theory)
Arithmetic progression
Family
08:16
Point (geometry)
Standard error
Group action
Building
Vapor barrier
Divisor
Multiplication sign
Ultraviolet photoelectron spectroscopy
Sheaf (mathematics)
Theory
2 (number)
Wave packet
Product (business)
Power (physics)
Green's function
Cuboid
Modulform
Arrow of time
Social class
Physical system
Scaling (geometry)
Process (computing)
Military base
Consistency
Expression
Projective plane
Computability
Algebraic structure
Maxima and minima
Cartesian coordinate system
Sequence
Entire function
Connected space
Category of being
Universe (mathematics)
Quantum
Right angle
Musical ensemble
Game theory
Identical particles
24:48
Rule of inference
Random number
Link (knot theory)
Observational study
Multiplication sign
Lemma (mathematics)
Range (statistics)
Open set
Mortality rate
Sequence
Product (business)
Frobenius normal form
Category of being
Mathematics
Roundness (object)
Positional notation
Musical ensemble
Discrepancy theory
Maß <Mathematik>
Directed graph
Spacetime
Social class
29:20
Point (geometry)
Pulse (signal processing)
Multiplication sign
Peg solitaire
10 (number)
Thomas Kuhn
Product (business)
2 (number)
Different (Kate Ryan album)
Wellformed formula
Operator (mathematics)
Green's function
Quilt
Cuboid
Modulform
Energy level
Arrow of time
Monster group
Maß <Mathematik>
Mathematical optimization
Social class
Physical system
Newton's law of universal gravitation
Rule of inference
Multiplication
Link (knot theory)
Process (computing)
Consistency
Projective plane
Sampling (statistics)
Algebraic structure
Maxima and minima
Sequence
Repeating decimal
Inclusion map
Category of being
Maxwell's demon
Optics
Moving average
Musical ensemble
Directed graph
Valuation using multiples
35:26
Trail
Complex (psychology)
Random number
Functional (mathematics)
Greatest element
Link (knot theory)
Polymorphism (materials science)
Divisor
Orientation (vector space)
Blind spot (vehicle)
Consistency
Forcing (mathematics)
Projective plane
Sampling (statistics)
Maxima and minima
Water vapor
Line (geometry)
Product (business)
Casting (performing arts)
Circle
Game theory
Musical ensemble
Directed graph
00:01
[Music] thanks for the imitation of islam gaddafi in the funds are great paris fashion like alex kidd fingers crossed at next ?bb an diabetes 1 so to date on tour presence on sunday with clegg kosovo and maximum consistency as forester wants to talk about classical concerts and by tourists it's family day because interviews have a maximum of consequences then there is the combinatorics construction is of maximal clusters forest restart outfit clever q100 crib and like the one under loose or musicals so here we have the example have bette justin with the ce de candy cycles [Music] harris assisted cluster algebra to the world of romance elements keynote of the cluster so barbecue okay so of the club in the function field generated page by die cluster danish cluster bagel sandwiches sammer internet terminals institute burgess is so into slavery from the b have for peace and sport exercise therapy in patients on discovery to the farmer class as living to obtain a terrible because that is an intact it takes its input des klipper end as a process is a user on classes the juve was discussions at or how obtainer after dentist feels times possibly is classic but you need the colt mutation the bird of youth immediately ex we know the mutation a car news on cluster very british whoever caught first need so sanjay jha is whoever clever q and tired of virtual cluster bubbles and education the bird exclusive items to obtain a class so just look in more detailed discussion on whether training on mutation on training the youtube consist of four steps has become that way how day but be clear how change has become at the factor june change at remote app world exchange great wembley is at bonn ek times over to top centrotherm is the great west side story incoming arrows product diamond is the projector the class waves of going this word video to the very best of the world together track of things and first time since the attacks angry birds or sex and the city cycles ultimately swallowed example but how would have ex before extreme xto aixtron and replays extreme at xtreme lashes the incoming euro + the product of detroit that's extreme six in front of the pasture at extreme because we janes grewer so the transit comics from backstreet weeks to end to weeks precaution transit when exporting xto informix in front of the fc triberg hjk sorry we're big sister city yes the problem kusej knows about cell phones him orientexpress touareg is recent the absolute goal is now none of progress soy business case the historian of the exide of the different Thank you ok so that's this mutation let's do the example sievert won't be any of stuff we get front is so this is a flexible one is the crib designs ubl 62 as well as can take our world is last starter on orange power comes with somebody dance with the vortex resources of course i can't turn around the builders eccles and cd airways flip before being god process so you think you as well as computers the expert biorac said to be obtained bis to the downhill run the two at ex two figure meeting at once but first pitch angels gmbh bonn classics is waiting for as before at 2 both of them with ex the mother too rib?ry got sexy of the fish then started the first or become two so in conclusion is then because the magic expressions from so will be a class a blown situation bushido das procedure will not will not stop the infinite infekt lewinsky der
08:22
theory of the university of vienna has liman class would definitely be great but it came from denkendorf ii just got out of the advantage with visual noise pop that is however section of finance dieter keller soap the world of the automotive simplicity gold maximum consequences this is grotesque us today is as full as city councilors qu?bec you [ ] you frame for frame grabber immediately it is now smell an example [music] the freshconex for arrows from the corresponding wanted at the end the construction a last sat like only to be called the world by barbara and the specials so der frozen which means that allowed to make them euro he defeated short saturday so that's a fr?nkin conference call purchase advertising and mrs the service ups piccoli what takes over the green on the iss no incoming error from the frozen w?rz ex managers from vancouver bc 5 m setup worth on rosenberg is very fast frozen working class definition of alienware touchscreen or switch connected world ex to the world as we say say say that is in cambodia from the frost last flew exempel bz the foreign body and so far at the expense of sportics exagon arthur frozen ground zero one places outgoing as old as berthold mertes just like no unscrupulous in the news of the world there I want because coveted transits hear from me to be born bar and the bird die arrow from we want to be buried on around the devil may cry on red and because the artwork is the greenback like it gets the single complicated then in frame doku frame to buyers of the Finnish stimac sense and effect of Jackson is alien to the 1 1 in minsk i watched as the defi starting values auditor third stranger clever and offers sequence it is first just fine art foundation steps so fine arts of word is then of the world express ice we want to get on the train as rector queen so casually collecting thread clean green is complete of the game this setup basement the find the following as well as look at the sequence of motivation tips or sequence of this is equipped with the queen of the world is corina armin on course for the danish keeper robert green if he youtube offers green birds is his activities on bradley tutschek making that this means that after a finnish third victory with red because to save a maximum of greenscreen so so recognizes extended okay so let's make me an example let's go get you can and gettorf raming we have to green logistics and let the world ex first day here would turnaround transit so zastrow from the second to the second run around and build thread just like can't take the first ever been around and we're ready maximum system on the system mutation steps nice to have started with special exempt it was a discrete transit so this little bit more complicated the ice cream octane w?rz ex first in first row the third way to say to cancel so [Music] the way this one becomes the library of everyday life got sap based first came clinics so is not always the world ex philips saeco f?rster gmbh pepsico in sequence or maxi consequence with austrias we here right thing video is the software xpire quincy the spot is channel dirie youtube twitter
16:37
and perrotta until it never have maximum consistency because the xxl morrison farms with so read before he is caught clean sex the corn consequence is super cool hesse max mcqueen sequence on the technology entire process of contact wood in front of the cluster faq until the bear is going on karnickel bases pat rice at the cluster topical points on mars is youtube scale and cons image so that's if power consultant consistency is that the speakers thomas are the door concepts in berlin one can see how computer des product of certain quantum blogs bdm factor indexed the people steps are maximally consistent, so is youtube basement pops up in world of games so in your article as well as obtain could all saved it said for example if i look at you ever be obtained the agents xii guarded mine by haseks 26 such a village costa seller tear complicated identities there are six nba titles inherited finest well ok ok so there are no forms the nicest thing is not the bps spector can be computer so clear that the crib process would be maximal consistent properties of soul kitchen is clever process maximum consistency that the mi6 example the mentalist is an aspect about mexico in sequence the hotfix traffic lights for six so much entire kjm neitzke love zloty cordoba sp die host case amarell maxi cosi constructed the world of magic whoever has contact max sequence before graduation style ssl for the and the long is such a cluster structure you tube is called city ??ims so from question is wanted but to a file target what about the picture here so and bombay stupid it is too loose the single project kuijpers ob china The first time to think against is except computers in this last college usa this is the find barriers basement of the trade products basic architecture project of the world and you too late in the sense that you like it comes to the product is gladly managed with rhein so now an example of the five projects so hide the tigers who this and that if you are always red okay it is you the box product trenkel project combine maximal queen sequence before the central axis just before the product and its kind here is jessica and she is So the sequence of growing criticism wentz is when there is gentle growth segment software first mover ntt com [Music] a wall clock demonstrated is an example the display is used by bernhard keller
24:56
where you can work notations change clippers of golf class than usual open space security studies discrepancy between the demonic screen performed a car like connoisseur frieze notes of the wake on control from queen medley sequencer sandys left so she leaves here in an example who sinks 43 forever and you won't here sequence should et si mcqueen as well as know besides you net framework that once i don't have to do is in the witcher because so now here i don't think sequence rcf the works xing xing xing xing xing xu will it be okay and here you were the source sequence that works for recycling good so know how to combine 11 euros before the product before the drink the situation of round of the dead weather will go into production and i see now the substance in the production die situation that is the always realism of the professionals conti it is then first tried it since yesterday apple is the four times the forward to seeing can do it as well as or the implemented the new age of forward in what until then [music] well then it is so here the rating properties is maximally consistent good lector of suffering [music]
29:20
3 who keeps the most skeptical question is how to find it sourcing maximally consequences band we have the wanting is the republic that is maximal criticism maximum consistency because exactly the difference is obscured on youtube develop that is equivalent to the audience okay so the word reports the disco construction works for active air products so will hartford financial question because before This cluster structures and are used by monsters in forms intelligence ai The double process like can actually obtain dirk wewers s pulse of the box project on the crew is dark of the same time as guitarist the today show of mowing the consequent growth will be obtained for this class construction i like optic optimization siekmann it is before the big words it is also open is double so that bayers b 6n technik and the weekend the working on cars which to produce OK optimization sequence property invites me
32:21
so the advantages of msdn come to the left so this is the second blood sample of the pico is that net already from the cluster structure of to this level with something from estudio it is slightly changed in the optimization segment which is external here in hessen in going arrow formula 1 auto and tour optimization so the photos rose burton the body canaccord that is just because of disclosure almost exactly just like you here is a situation of the author he is on the level i can just add on the level 1 the optimal left side prinz, spoiled for success, with guttenberg wanted here is max eberl in front of youtube so here is with the sinks a hotel with messi mitte celebrate how precious the operators in bradford optimization system open the master as far as she is the latter as before and know it exactly like that when a car level 1 so here so pointed optimization sequence is like this sitting lonely ypsilanti is optimization sequencer center maximum green sequence godmother optimization sequence again and councilors fremming equal to the roll found out that his house is related to this lay who on tricks multiple kessens okay [music]
35:31
so that things have to want to say is so the sync source driver on maximum consequences like the united general lee so that watchers ford ranger project so apple follows company with apple versions ladies at digitec chamber is a assist weekend the following herbert steinb?ck the software oss how can automotive syncsort maxim consistency must graphics engine offers the project office eye click the pic trail you so the fsm orientation sessions as sampl circle as canada and mexico out so that here 42 42 42 42 billion the top line double des works and be obtained mexico So that's that places
40:14
yeah that's a quick look at the bottom line because if wannsee and the top line dancer kerne warner had top line zero in the bottom line zero zero the constructed is now whether both are top but the cost is the deciding factor [Music] i have the village is rango products which are now over festivals international to people's problems but national functions are the casting office and patent protection of whaling in The film a recruiter are very different from domestic forces of water / sewage now on youtube video sessions that gets even better the whole complex that's a motto that's ok in the end so pe?a was the game at 1 [Music]