代數(shù)與表示論會(huì)議報(bào)告題目與摘要

1、北京師范大學(xué)數(shù)學(xué)科學(xué)學(xué)院教育部北京師范大學(xué)數(shù)學(xué)科學(xué)學(xué)院教育部“數(shù)學(xué)與復(fù)雜系統(tǒng)數(shù)學(xué)與復(fù)雜系統(tǒng)”重點(diǎn)實(shí)驗(yàn)室代數(shù)年活動(dòng)重點(diǎn)實(shí)驗(yàn)室代數(shù)年活動(dòng)之一：代數(shù)與表示論會(huì)議，之一：代數(shù)與表示論會(huì)議，2014年6月1415日。日。會(huì)議程序周六（6月14日）周日（6月15日）8:309:20惠昌常鄧邦明9:3010:20周遠(yuǎn)洋張紅蓮茶休（10:2010:50）1129小報(bào)告廳10:5011:40周國(guó)棟王立中午飯（12:0013:30）蘭蕙公寓13:3014:

2、20徐帆郭向前14:3015:20劉品趙中華茶休（15:2015:50）1129小報(bào)告廳15:5016:40徐運(yùn)閣潘升勇16:5017:40朱燦韓陽(yáng)晚飯（18:0019:30）蘭蕙公寓注：北京師范大學(xué)新主樓1124報(bào)告廳。報(bào)告題目與摘要：鄧邦明（清華大學(xué)）：SimplerepresentationsofaffineqSchuralgebrasInthistalkIwillexplainhowtoidentifysimplereprese

3、ntationsofaffineqSchuralgebrasarisingfromsimplepolynomialrepresentationsofquantumaffinegl_nwiththosearisingfromsimplemodulesofaffineHeckealgebrasoftypeA.ThisisbasedonjointwkwithJieDuQiangFu.郭向前（鄭州大學(xué)）：JetmodulesftheViraso

4、likealgebraInthistalkwestudiedthejetmodulesftheVirasolikealgebraoneoftheinfinitedimensionalLiealgebraswithsimpleststructure.ThejetmodulesarecertainnaturalmodulesovertheLiealgebraofsemidirectproductoftheVirasolikealgebrat

5、heLaurentpolynomialsintwovariables.Weshowthatthejetmodules徐運(yùn)閣（湖北大學(xué)）：HochschildcohomologyringoftameHeckealgebrasLetAbeatameHeckealgebraoftypeA.Basedontheminimalprojectivebimoduleresolution(P)ofAconstructedbySchrollSnashal

6、lwefirstgiveanexplicit?deionofthesocalled``comultiplicativestructure“ofthegeneratsofeachtermin(P)thenapplyittodefineachainmapthusnP?A:PPP???showthatthecupproductinthelevelofcochainsfthetameHeckealgebraAisessentiallyjuxta

7、positionofparallelpathsuptosign.AsaconsequencewedeterminethestructureoftheHochschildcohomologyringofAunderthecupproductbygiveanexplicitpresentationbygeneratsrelations.張紅蓮（上海大學(xué)）：Hopfalgebraicstructuresofquantumaffinealgeb

8、raquantumtoidalalgebraInthistalkweconstructanewsetofsimplergeneratsofquantumaffinealgebrastoreplacetheiginalfullsetofthegeneratsthisalsoenablesustogiveaHopfalgebraicstructureftheDrinfeldrealizationofthequantumaffinealgeb

9、ras.FurthermewestudytheHopfalgebraicstructureofquantumtoidalalgebraftypeA.Itshouldbepointedoutthatthismethodwkswellfbothoneparametercasetwoparametercase.ThetalkisbasedonthejointwkwithProf.NaihuanJing.趙中華（北京化工大學(xué)）：Globalba

10、sesofU_q(g)modulesoverquantumgeneralizedKacMoodyalgebrassomeapplicationsWedealwiththematrixcoefficientsofe_if_ionglobalcrystalbases.BasedontheanalysisofmatrixcoefficientsweconsidertheglobalbasesofU_q^(g)modulesgivesomeap

11、plications.周國(guó)棟（華東師范大學(xué)）：TwoapplicationsoftheresolutiontheemResolutionTheemisoneofthebasicresultsinQuillensalgebraicKthey.Wepresentafolkleversionofthistheemfderivedcategies.Weapplyittomonomphismcategiesvectbundlesoveranell

12、ipticcurve.周遠(yuǎn)洋（華中師范大學(xué)）：KstablesplendidRickardcomplexesInthispaperBrouesconjectureisreducedtosimplegroupswithastabilitycondition.朱燦（上海理工大學(xué)）：HomologicalDeterminantAfinitesubgroupofSL(nk)canfreelyactonthepolynomialringovera

13、fieldkwithnvariables.WewillfirstlyrecallsomeresultsonthisactionitsinvariantsuchasMcKaycrespondenceWatanabesTheemShephardToddChevalleyTheemetc.Indertogeneralizethesetononcommutativesettingoneneedstogeneralizethedeterminan