When Aisles Meet

Abstract: Discrete cluster categories of type A are an exciting playing field on which to learn about infinite rank cluster combinatorics: On the one hand, they combinatorially behave, in many ways, in a familiar finite type A way. On the other hand, they exhibit new phenomena for which finite type A is “too small”. One such phenomenon is the existence of t-structures. In this talk, we describe the classification of t-structures in discrete cluster categories of type A via decorated non-crossing partitions and explain how they form a lattice under inclusion of aisles – an unusual occurrence for t-structures in a triangulated category. This classification of t-structures can inform our understanding of posets of t-structures more generally and help to tackle completions of triangulated categories from a combinatorial perspective. This talk is based on joint work with Alexandra Zvonareva, and with Thorsten Holm and Peter Jørgensen.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

( slides )

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Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)

Series comments: Description: Research webinar series

The LAGOON webinar series was supported as part of the International Centre for Mathematical Sciences (ICMS) and the Isaac Newton Institute for Mathematical Sciences (INI) Online Mathematical Sciences Seminars and is now sponsored by the University of Cologne and the University of Pavia. Please register here to obtain the Zoom link and password for the meetings.

LAGOON will take place online every last Wednesday of the month from 14:00-15:00 (Time Zone Berlin, Rome, Paris).

Videos of the talks can be viewed here.

Video recordings of past talks until April 2022 can still be viewed on the ICMS webpage here.

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