Class Field Theory

dc.contributor.advisor	Prasad, Dipendra	en_US
dc.contributor.author	RAMAKRISHNAN, SIDDHARTH	en_US
dc.date.accessioned	2020-06-23T09:12:54Z
dc.date.available	2020-06-23T09:12:54Z
dc.date.issued	2020-05	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4833
dc.description.abstract	The 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.sponsorship	Kishore Vaigyanik Protsahan Yojana	en_US
dc.language.iso	en	en_US
dc.subject	Golod-Safarevic, Brumer	en_US
dc.subject	Algebraic Number Theory	en_US
dc.subject	Class Field Theory	en_US
dc.subject	Group Cohomology	en_US
dc.subject	Number Fields and Extensions	en_US
dc.subject	Local Class Field Theory	en_US
dc.subject	Power Reciprocity Laws	en_US
dc.subject	2020	en_US
dc.title	Class Field Theory	en_US
dc.type	Thesis	en_US
dc.type.degree	BS-MS	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.contributor.registration	20151078	en_US

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Description: MS Thesis

MS THESES [1705]
Thesis submitted to IISER Pune in partial fulfilment of the requirements for the BS-MS Dual Degree Programme/MSc. Programme/MS-Exit Programme