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On zeta-isomorphisms and main conjectures Witte, Malte

Description

The zeta-isomorphism conjecture of Fukaya and Kato is a generalisation of the equivariant Tamagawa number conjecture. I will briefly explain the general setup of the conjecture. I then turn to the noncommutative main conjecture for totally real fields and discuss a unicity result for the noncommutative zeta functions constructed by Kakde. Finally, I explain how this unicity result can be used to construct zeta-isomorphisms in the sense of Fukaya and Kato.

Item Metadata

Title
On zeta-isomorphisms and main conjectures
Creator
Witte, Malte
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2016-06-28T13:59
Description
The zeta-isomorphism conjecture of Fukaya and Kato is a generalisation of the equivariant Tamagawa number conjecture. I will briefly explain the general setup of the conjecture. I then turn to the noncommutative main conjecture for totally real fields and discuss a unicity result for the noncommutative zeta functions constructed by Kakde. Finally, I explain how this unicity result can be used to construct zeta-isomorphisms in the sense of Fukaya and Kato.
Extent
58 minutes
Subject
Mathematics; Number theory
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: Universitaet Heidelberg
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2017-01-31
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0340452
URI
http://hdl.handle.net/2429/60097
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Postdoctoral
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International