Mixed Carlitz Motives And Colored Multizeta Values In Characteristic P

Loading...
Thumbnail Image
Degree type
Doctor of Philosophy (PhD)
Graduate group
Mathematics
Discipline
Subject
Mathematics
Funder
Grant number
License
Copyright date
2021-08-31T20:21:00-07:00
Distributor
Related resources
Author
Yeo, Yao-Rui
Contributor
Abstract

This thesis studies characteristic p multizeta values, which are function field analogs of the Euler-Riemann multizeta values. The objective of this thesis is two-fold. We first explicitly construct the category of mixed Carlitz motives, which is a counterpart to the category of mixed Tate motives in characteristic zero. After that, we identify specific mixed Carlitz motives, and use them to derive algebraic independence properties of colored multizeta values. The former includes all known t-motives related to multizeta values, while the latter complements results in the literature on algebraic relations between multizeta values.

Advisor
Ching-Li Chai
Date of degree
2021-01-01
Date Range for Data Collection (Start Date)
Date Range for Data Collection (End Date)
Digital Object Identifier
Series name and number
Volume number
Issue number
Publisher
Publisher DOI
Journal Issue
Comments
Recommended citation