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The Galois Group of the Category of Mixed Hodge Tate Structures

Offered By: Hausdorff Center for Mathematics via YouTube

Tags

Algebraic Geometry Courses Physics Courses Number Theory Courses Galois Groups Courses

Course Description

Overview

Explore the Galois group of the category of mixed Hodge Tate structures in this 59-minute lecture by Guangyu Zhu, presented as part of the Hausdorff Trimester Program on Periods in Number Theory, Algebraic Geometry and Physics. Delve into the concept of mixed Hodge-Tate structures over Q as a mixed Tate category of homological dimension one, and understand how Tannakian formalism equates it to the category of graded comodules of a commutative graded Hopf algebra. Learn about Zhu's recent joint work with A. Goncharov, which provides a canonical description A (C) of the Hopf algebra. Discover how this construction can be generalized to A (R) for any dg-algebra R with a Tate line, offering insights into advanced topics in algebraic geometry and number theory.

Syllabus

Guangyu Zhu: The Galois group of the category of mixed Hodge Tate structures


Taught by

Hausdorff Center for Mathematics

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