Classical K-Theory: Completion of Unimodular Rows

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dc.contributor.advisorBASU, RABEYAen_US
dc.contributor.authorMANDLIK, NISHADen_US
dc.contributor.departmentDept. of Mathematicsen_US
dc.contributor.registration20101025en_US
dc.date.accessioned2015-05-07T09:02:06Z
dc.date.available2015-05-07T09:02:06Z
dc.date.issued2015-05en_US
dc.description.abstractIn this thesis, we explore the problem of the completion of unimodular rows which has its historical importance in the solution of Serre's problem. We also study Classical Algebraic K-theory in the context of projective modules and unimodular rows. We end the thesis with the study of a recent theorem on the completion of unimodular row of length 3 and understand its constructive proof using the help of the software Macaulay2.en_US
dc.identifier.urihttp://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/507
dc.language.isoenen_US
dc.subject2015en_US
dc.subjectMathematicsen_US
dc.subjectGrothendiecken_US
dc.subjectWhiteheaden_US
dc.subjectK-Theoryen_US
dc.subjectCompletionen_US
dc.subjectUnimodular Rowsen_US
dc.subjectCommutative Algebraen_US
dc.subjectSerreen_US
dc.subjectElementary groupen_US
dc.subjectProjective Modulesen_US
dc.titleClassical K-Theory: Completion of Unimodular Rowsen_US
dc.typeThesisen_US
dc.type.degreeBS-MSen_US

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