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SUMMARY:Follow-up WS to TP "Spectral Methods in Algebra\, Geometry and Top
 ology" [HIM Follow-Up Workshop]
DTSTART:20260824T063000Z
DTEND:20260828T103000Z
DTSTAMP:20260415T094200Z
UID:indico-event-106@math-events.uni-bonn.de
CONTACT:him-administration@hcm.uni-bonn.de
DESCRIPTION:Speakers: Petra Serr (Hausdorff Research Institute for Mathema
 tics der Universität Bonn)\n\n\nDescription: \nSpectra are ubiquitous th
 roughout modern mathematics: The Zariski spectrum of a commutative ring\, 
 the topological spectrum representing a generalized cohomology theory\, an
 d the Balmer spectrum of a tensor-triangulated category are important inst
 ances. In each case\, the spectral representation of a familiar object rev
 eals its hidden geometry and symmetries. Amplified by modern homotopical a
 nd representation-theoretic techniques\, recent years have seen a whirlwin
 d of activity and groundbreaking progress in the development and applicati
 on of spectral techniques\, which may be loosely organized in the followin
 g themes:\n(1) Global classification problems:Classification of thick tens
 or ideals and localizing tensor ideals as the key to capturing the global 
 structure of tensor categories\; construction of novel support theories.(2
 ) Local-to-global principles:Assembly and disassembly in homotopy theory a
 nd modular representation theory\; adelic techniques in rational equivaria
 nt homotopy theory\; reconstruction theorems in (non-­)commutative algebr
 aic geometry.(3) Invariants\, duality\, and descent:The computation of Pic
 ard groups and higher invariants like Brauer groups via descent techniques
 \; local and global dualities.\nScientific Organizers:\n\nTobias Barthel (
 MPIM Bonn)\nPaul Balmer (UCLA)\nJohn Greenlees (University of Warwick)\nHe
 nning Krause (Universität Bielefeld)\nJulia Pevtsova (University of Washi
 ngton)\n\n\nhttps://math-events.uni-bonn.de/event/106/
LOCATION:Ground floor\, Lecture room  (HIM)
URL:https://math-events.uni-bonn.de/event/106/
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