Mini-workshop: Chromatic phenomena and duality in homotopy theory and representation theory. Abstracts from the mini-workshop held March 4--10, 2018
type: Item
instance of: scholarly article
title: Mini-workshop: Chromatic phenomena and duality in homotopy theory and representation theory. Abstracts from the mini-workshop held March 4--10, 2018
zbMATH Open document ID: 1409.00065
DOI: 10.4171/OWR/2018/9
published in: Oberwolfach Reports
publication date: 2019-03-15T00:00:00Z
review text: Summary: This mini-workshop focused on chromatic phenomena and duality as unifying themes in algebra, geometry, and topology. The overarching goal was to establish a fruitful exchange of ideas between experts from various areas, fostering the study of the local and global structure of the fundamental categories appearing in algebraic geometry, homotopy theory, and representation theory. The workshop started with introductory talks to bring researches from different backgrounds to the same page, and later highlighted recent progress in these areas with an emphasis on the interdisciplinary nature of the results and structures found. Moreover, new directions were explored in focused group work throughout the week, as well as in an evening discussion identifying promising long-term goals in the subject. Topics included support theories and their applications to the classification of localizing ideals in triangulated categories, equivariant and homotopical enhancements of important structural results, descent and Galois theory, numerous notions of duality, Picard and Brauer groups, as well as computational techniques.
Mathematics Subject Classification ID: 00B05
Mathematics Subject Classification ID: 00B25
Mathematics Subject Classification ID: 55-06
Mathematics Subject Classification ID: 18-06
Mathematics Subject Classification ID: 55U35
Mathematics Subject Classification ID: 18Exx
Mathematics Subject Classification ID: 55Pxx
Mathematics Subject Classification ID: 14F42
Mathematics Subject Classification ID: 16D90
Mathematics Subject Classification ID: 20C20
zbMATH DE Number: 7036467
describes a project that uses: LiE
describes a project that uses: KILLING
describes a project that uses: GCLC
describes a project that uses: REPSN
describes a project that uses: Mod-p group cohomology
describes a project that uses: QuillenSuslin
describes a project that uses: CHomP
describes a project that uses: Z
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.4171/owr/2018/9
OpenAlex ID: W2908055180
Wikidata QID: Q128638231
description: scientific article; zbMATH DE number 7036467