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SUMMARY:Metrics and approximability for triangulated categories [MPIM]
DTSTART:20260506T120000Z
DTEND:20260506T134500Z
DTSTAMP:20260508T062600Z
UID:indico-event-1277@math-events.uni-bonn.de
DESCRIPTION:Speakers: Kabeer Rahul (MPIM)\n\nCourse on Metric and approxim
 ability for triangulated categories\nCourse Description: Neeman has recent
 ly introduced certain new techniques in the study of triangulated categori
 es. These have been used to prove many important results\, and have settle
 d multiple open problems in algebraic geometry. In this course\, we will d
 iscuss both these abstract techniques\, and the growing body of works rela
 ted to them along with several applications. In particular\, we will intro
 duce good metrics\, completions\, approximable triangulated categories\, a
 nd see their various properties. Further\, we will discuss applications to
  the non-existence of bounded t-structures\, Rouquier dimension\, semiorth
 ogonal decompositions\, representability results and so on. Most of the ex
 amples and applications in the course will be to algebraic geometry\, but 
 we note here that there are wider applications of the theory to representa
 tion theory and homotopy theory. See https://kabeermr.github.io/CourseOutl
 ine.pdf for the course outline.\nPrerequisites: Some familiarity with deri
 ved and triangulated categories\, and rudimentary knowledge of algebraic g
 eometry.\n \n \n\nhttps://math-events.uni-bonn.de/event/1277/
LOCATION:MPIM\, Vivatsgasse\,  7 - Seminar Room (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1277/
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