Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4833
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dc.contributor.advisorPrasad, Dipendraen_US
dc.contributor.authorRAMAKRISHNAN, SIDDHARTHen_US
dc.date.accessioned2020-06-23T09:12:54Z-
dc.date.available2020-06-23T09:12:54Z-
dc.date.issued2020-05en_US
dc.identifier.urihttp://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4833-
dc.description.abstractThe goal of the project is to study Class Field Theory. Class Field Theory studies the abelian extensions of local elds and global elds. There are di erent approaches for this and we focus on the cohomological approach envisaged by Hochschild and Nakayama. We give an exposition on how to prove certain theorems in Elementary Number Theory, using Class Field Theory. Also, we discuss the solution to a long-standing problem.en_US
dc.description.sponsorshipKishore Vaigyanik Protsahan Yojanaen_US
dc.language.isoenen_US
dc.subjectGolod-Safarevic, Brumeren_US
dc.subjectAlgebraic Number Theoryen_US
dc.subjectClass Field Theoryen_US
dc.subjectGroup Cohomologyen_US
dc.subjectNumber Fields and Extensionsen_US
dc.subjectLocal Class Field Theoryen_US
dc.subjectPower Reciprocity Lawsen_US
dc.subject2020en_US
dc.titleClass Field Theoryen_US
dc.typeThesisen_US
dc.type.degreeBS-MSen_US
dc.contributor.departmentDept. of Mathematicsen_US
dc.contributor.registration20151078en_US
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