
maikkal jeey. hopkins

beejaganita topologyil pravartthikkunna oru american ganithashaasthranjanaanu maikkal jerom hopkins (jananam epril 18,1958).
jeevitam.
1984ll maarkk mahovaaldinte nirddeshaprakaaram vadakkupadinjaaran sarvakalashaalayil ninnu "chila lupe speysukalude sthiramaaya vighadanangal" enna prabandhathode addeham phd nedi. 1984lum addehathinu dii.phil. ayon jayimsinte melnottatthil ooksfoord sarvakalashaalayil ninnu. 2005 muthal harward sarvakalashaalayil ganithashaasthra professoraaya addeham masaachyusets instittyoott oof teknolajiyil pathinanju varsham, prinsettan sarvakalashaalayil kurachu varshathe adthyaapanam, chikkago sarvakalashaalayil oru varshathe sthaanam, lehai sarvakalashaalayil visitting lakcharar sthaanam ennivaykku sesham pravartthikkunnu.
jolie.
hopkinsinte pravartthanangal beejaganita topologyil, prathyekichu sthirathayulla homotopy sidhaanthathil shradha kendreekarikkunnu. ithine ekadesham naalu bhagangalaayi thirikkam (chuvadeyulla vishayangalude pattika oru tharatthilum samagramalla):
ravenal oohaapohangal.
ravenal anumanangal valare sthoolamaayi parayunnu sankeernamaaya cobordisavum (athinte vakabhedangalum) ningal chinthikkunnathinekkaal kooduthal sthirathayulla homotopy vibhaagathil kaanunnu. udaaharanathinu, parimithamaaya sii. dablyu-komplaksukalkkidayila oru bhoopadatthinte chila aavarthanangalude chila suspension sankeernamaaya kobordisatthil poojyamaanengil athu nall-homotopic aanennu nilpottans anumaanam prasthaavikkunnu. ethan devinats, hopkins, jeff smith (1988 ll prasidheekarichathu) ennivar ithu theliyichu. bakkiyulla ravenal anumanangal (dooradarshini anumanangal ozhike) hopkins smith udan thanne theliyichu (1998 ll prasidheekarichu). hopkins dougless ravenal theliyikkunna eee aathmaavinte mattoru phalam chrometic kanverjans sidhaanthamaanu, ithu morawa keey-sidhaanthangalude vedjukalumaayi bandhappett athinte praadesikavalkkaranangalil ninnu oraalkk oru parimithamaaya sidablue-complexes veendedukkaan kazhiyumennu prasthaavikkunnu.
hopkins-miller sidhaanthavum topological modular roopangalum.
ring spectrayude homotopy commutative diagram homotopy vare uyarnna gadanayulla ring spectrayude karsanamaaya commutative diagramilekku parishkarikkunnathinekku eee jolie. eee prograaminte aadya vijayam hoppins-miller sidhaanthamaayirunnu ithu lubin-tettu spectrayile morawa stabilizer groupinte pravarthanathekkurichaanu (aupachaarika group niyamangalude roopabheda sidhaanthathil ninnu uthbhavikkunnath), formula 1-ring spectrayilekkulla parishkkaranathekkurichaanu-ithu morawa stabilizer grouppukalude parimithamaaya upagrooppukalude homotopy sthira pooyintukal edukkaan anuvadichu, ithu uyarnna yadhaartha keey-sidhaanthangalilekku nayichu. pooll gozhsumaayi chernnu hopkins pinneedu formula _ 2-ring spectrayilekkulla parishkkaranatthinaayi oru chittayaya thadassa sidhaantham sthaapichu. ithu pinneedu topological modular roopangalude hopkins-miller nirmmaanatthil upayogichu. eee vishayathekkurichulla hopkinsinte thudarnnulla pravarthanangalil string kobordisavumaayi (ando, strickland, resk ennivayumaayulla samyuktha pravartthanam) bandhappett tmfinte ooriyantabilittiyekkurachu chodyathekkurichulla prabandhangal ulppedunnu.
kerware invariyant prashnam.
2009 epril 21 nuu, mike hill, dougless ravenal ennivayumaayi samyukthamaayi pravarthichu hoppins kerware invariyant prashnatthinte pariharam prakhyaapichu. eee prashnam videsha golangalude padanavumaayi bandhappettirikkunnu, pakshe vilyam brouderude pravartthanatthiloode sthirathayulla homotopy sidhaanthathile oru prashnamaayi maari. kunnu, hopkins, ravenal ennivayude thelivu poornnamaayum sthiramaaya homotopy krameekaranatthil pravartthikkukayum ekviveriyant homotopy sidhaantham nirnaayaka reethiyil upayogikkukayum cheiyunnu.
jyamiti/bhauthikashaasthravumaayi bandhapetta jolie.
ithil minusamaarnnathum valanjathumaaya keey-sidhaanthathekkurichum lupe grooppukalumaayulla bandhathekkurichum pepparukal ulppedunnu, koodaathe daniel freed, jacob lurie, konstaantin teleman ennivayumaayi samyukthamaayi (vipuleekritha) topological feeld sidhaanthangalekkurichum pravartthikkunnu.
amgeekaaram.
1990leeii sheetakaala yogathil addeham shanikkappetta prasamgangal nadatthi.
1994ll soorichile internaashanal kongras oof maathamaatteeshyansil kentakkiyile louisvilleyil nadanna american maathamaattikkal sosaitti, 2002ll baijingle nadanna internaashanal kongras oof maathamaatteeshyansil pleanary speakeraayirunnu. 1994 leeii lehai sarvakalaashaalayile evaratt pitcher prabhashanangal, chikkago sarvakalaashaalayile 2000 namboodiri prabhashanangal, instittyoott phoor advanced stadiyile 2000 maarsttan mozhs memorial prabhashanangal, prinsettan, columbia sarvakalaashaalayile 2003 ritt prabhashanangal, berkleyile 2010 bovan prabhashanangal enniva addeham avatharippichu. 2001ll homotopy sidhaanthathile pravarthanangalkku aamsil ninnu jyaamithiyile ooswald weblen sammanam, 2012ll ganithashaasthrathile naas award, 2014ll seeniyar berwick sammanam, 2014ll ganithashaasthrathile nemmers sammanam enniva addehathinu labhichu. beejaganita topology, beejaganita jyamiti, praathinidhya sidhaantham, ganithashaasthra bhauthikashaasthram ennivayude anubandha mekhalakalile sambhaavanakalkk" american ganithashaasthra samoohathile 2021 klaas fellosil addehathe ulppeduthi. 2022ll randaam thavanayum jyaamithiyile ooswald weblen sammanam addehathinu labhichu.

