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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4833| Title: | Class Field Theory |
| Authors: | Prasad, Dipendra RAMAKRISHNAN, SIDDHARTH Dept. of Mathematics 20151078 |
| Keywords: | Golod-Safarevic, Brumer Algebraic Number Theory Class Field Theory Group Cohomology Number Fields and Extensions Local Class Field Theory Power Reciprocity Laws 2020 |
| Issue Date: | May-2020 |
| 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. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4833 |
| Appears in Collections: | MS THESES |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| siddharth_thesis (1).pdf | MS Thesis | 528.01 kB | Adobe PDF | View/Open |
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