Skip to main content
Download PDF
- Main
Eisenstein Cocycles for Powers of the Multiplicative Group
- Smits, Timothy
- Advisor(s): Sharifi, Romyar
Abstract
This dissertation generalizes work of Sharifi and Venkatesh to construct a canonical choice of cocycle $\Theta$ via a ``lifting" process that represents a cohomology class $$[\Theta] \in H^{n-1}(\mathrm{GL}_n(\mathbb{Z}),K_n^M(\mathbb{Q}(\mathbb{G}_m^n)) \otimes_\mathbb{Z} \mathbb{Z}[\tfrac{1}{(n+1)!}])$$ for an integer $n \geq 2$. We show that $[\Theta]$ is Eisenstein with respect to the action of certain Hecke operators.
Main Content
For improved accessibility of PDF content, download the file to your device.
Enter the password to open this PDF file:
File name:
-
File size:
-
Title:
-
Author:
-
Subject:
-
Keywords:
-
Creation Date:
-
Modification Date:
-
Creator:
-
PDF Producer:
-
PDF Version:
-
Page Count:
-
Page Size:
-
Fast Web View:
-
Preparing document for printing…
0%