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Mixed Carlitz motives and colored multizeta values in characteristic p / Yao-Rui Yeo.
- Format:
- Book
- Thesis/Dissertation
- Author/Creator:
- Yeo, Yao-Rui, author.
- Language:
- English
- Subjects (All):
- Mathematics.
- Theoretical mathematics.
- Mathematics--Penn dissertations.
- Penn dissertations--Mathematics.
- Local Subjects:
- Mathematics.
- Theoretical mathematics.
- Mathematics--Penn dissertations.
- Penn dissertations--Mathematics.
- Genre:
- Academic theses.
- Physical Description:
- 1 online resource (85 pages)
- Contained In:
- Dissertations Abstracts International 82-12B.
- Place of Publication:
- [Philadelphia, Pennsylvania] : University of Pennsylvania ; Ann Arbor : ProQuest Dissertations & Theses, 2021.
- Language Note:
- English
- System Details:
- Mode of access: World Wide Web.
- text file
- Summary:
- 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.
- Notes:
- Source: Dissertations Abstracts International, Volume: 82-12, Section: B.
- Advisors: Chai, Ching-Li; Committee members: Yoichiro Mori; Dinesh Thakur.
- Department: Mathematics.
- Ph.D. University of Pennsylvania 2021.
- Local Notes:
- School code: 0175
- ISBN:
- 9798738617546
- Access Restriction:
- Restricted for use by site license.
- This item must not be sold to any third party vendors.
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