代數與表示論會議報告題目與摘要

1、北京師范大學數學科學學院教育部北京師范大學數學科學學院教育部“數學與復雜系統(tǒng)數學與復雜系統(tǒng)”重點實驗室代數年活動重點實驗室代數年活動之一：代數與表示論會議，之一：代數與表示論會議，2014年6月1415日。日。會議程序周六（6月14日）周日（6月15日）8:309:20惠昌常鄧邦明9:3010:20周遠洋張紅蓮茶休（10:2010:50）1129小報告廳10:5011:40周國棟王立中午飯（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小報告廳15:5016:40徐運閣潘升勇16:5017:40朱燦韓陽晚飯（18:0019:30）蘭蕙公寓注：北京師范大學新主樓1124報告廳。報告題目與摘要：鄧邦明（清華大學）：SimplerepresentationsofaffineqSchuralgebrasInthistalkIwillexplainhowtoidentifysimplereprese

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

4、likealgebraInthistalkwestudiedthejetmodulesftheVirasolikealgebraoneoftheinfinitedimensionalLiealgebraswithsimpleststructure.ThejetmodulesarecertainnaturalmodulesovertheLiealgebraofsemidirectproductoftheVirasolikealgebrat

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

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

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

8、raquantumtoidalalgebraInthistalkweconstructanewsetofsimplergeneratsofquantumaffinealgebrastoreplacetheiginalfullsetofthegeneratsthisalsoenablesustogiveaHopfalgebraicstructureftheDrinfeldrealizationofthequantumaffinealgeb

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

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

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

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

13、fieldkwithnvariables.WewillfirstlyrecallsomeresultsonthisactionitsinvariantsuchasMcKaycrespondenceWatanabesTheemShephardToddChevalleyTheemetc.Indertogeneralizethesetononcommutativesettingoneneedstogeneralizethedeterminan