Symmetric products of dg categories and semi-orthogonal decompositions

Abstract: The notion of symmetric products of a dg category was introduced by Ganter and Kapranov. I will explain how a semi-orthogonal decomposition (SOD) of an original dg category induces an SOD on the symmetric products. This is a generalization of the direct sum decomposition of the symmetric product of a direct sum of two vector spaces. The main application is the construction of various interesting SODs on the derived categories of the Hilbert schemes of points on surfaces.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

( slides | video )

Comments: The Zoomlink is as follows: 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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