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Die folgenden Informationen sind noch nicht freigegeben und deshalb unverbindlich: Higher Zariski Geometry SemesterSoSe 2026 Lecturer Denis-Charles Cisinski, Giovanni Rossanigo Type of course (Veranstaltungsart) Oberseminar German title Höhere Zariski Geometrie Contents Algebraic geometry teaches us that commutative rings are best understood through the geometry of their spectra: to a ring R one attaches a topological space Spec(R) together with a canonical sheaf of rings, and much of the algebra of R is reflected in the geometry of this locally ringed space. Over the last two decades a parallel story has emerged in homotopy theory and representation theory. Small triangulated symmetric monoidal categories behave like “rings up to homotopy”, and tensor-triangular geometry, through the work of Balmer, Krause, Neeman, Stevenson and many others, provides the necessary tools to construct topological spaces out of these “2-rings”. Despite the numerous successes (reconstruction theorems and so on), the theory lacks a uniform description of structure sheaves on such spectra. The goal of this seminar is to learn a further categorification of this picture which solves many issues of the tensor triangulated approach and organizes coherently many wellknown results. Literature Ko Aoki, Tobias Barthel, Anish Chedalavada, Tomer Schlank, and Greg Stevenson. Higher zariski geometry, arXiv:2508.11621 Time/Date Wednesday 10-12 Location M101 Course homepage https://cisinski.app.uni-regensburg.de/ [https://cisinski.app.uni-regensburg.de/ (Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern) Registration
MV, MSem ECTS 4,5 |