Class Field Theory

Simple item page
dc.contributor.advisorPrasad, Dipendraen_US
dc.contributor.authorRAMAKRISHNAN, SIDDHARTHen_US
dc.contributor.departmentDept. of Mathematicsen_US
dc.contributor.registration20151078en_US
dc.date.accessioned2020-06-23T09:12:54Z
dc.date.available2020-06-23T09:12:54Z
dc.date.issued2020-05en_US
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.identifier.urihttp://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4833
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

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
siddharth_thesis (1).pdf
Size:
528.01 KB
Format:
Adobe Portable Document Format
Description:
MS Thesis
Download

Collections

MS THESES