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Brauer groups in Stein geometry Hotchkiss, James

Description

A Stein space is the analogue of an affine scheme in the category of complex-analytic spaces. I will explain how many of the fundamental results for the Brauer group of a noetherian ring have analogues for the (usually non-noetherian) ring of holomorphic functions on a Stein space. For instance, I will discuss a purity theorem for Stein manifolds. Joint work with Olivier Benoist.

Item Metadata

Title	Brauer groups in Stein geometry
Creator	Hotchkiss, James
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2026-01-22
Description	A Stein space is the analogue of an affine scheme in the category of complex-analytic spaces. I will explain how many of the fundamental results for the Brauer group of a noetherian ring have analogues for the (usually non-noetherian) ring of holomorphic functions on a Stein space. For instance, I will discuss a purity theorem for Stein manifolds. Joint work with Olivier Benoist.
Extent	36.0 minutes
Subject	Mathematics; Algebraic Geometry; Group Theory And Generalizations
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Columbia University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2026-01-26
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0451376
URI	http://hdl.handle.net/2429/93525
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Item Media

202601221447-Hotchkiss_hrv-0.mov -- 1.05GB

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Attribution-NonCommercial-NoDerivatives 4.0 International