Unbounded twisted complexes

Abstract: The notion of a (bounded) twisted complex of objects in a DG category was introduced by Bondal and Kapranov as a tool to study and construct DG enhancements of triangulated categories. It can be viewed as a lift to the DG enhancement of a bounded complex of objects in the underlying triangulated category. But what if one needs to work with unbounded complexes of objects? In this talk, I will first give an introduction summarising the original theory of bounded twisted complexes. Then I will explain the difficulties involved in making it work with unbounded complexes, and how they are dealt with in the resulting theory of unbounded twisted complexes due to Rina Anno and I. Finally, I will talk about some applications, such as A-infinity structures in monoidal DG categories and homotopy idempotents.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

Comments: Talk postponed to Wednesday December 10!

uni-koeln.zoom.us/j/91875528987?pwd=US8wdjNrWjl5dXNQSVRzREhoRE1PUT09

Meeting ID: 918 7552 8987 Password: LAGOON

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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.

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