[Todos CMAT] Seminario de Álgebra del IMERL - Janina Letz (Universität Bielefeld)

[seminarios en cmat.edu.uy]

Seminario de Álgebra del IMERL
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Título: "The spectrum of a well-generated tensor triangulated category"

Expositor: Janina Letz (Universität Bielefeld)

Resumen:
 
In many tensor triangulated categories the thick   subcategories of the compact
objects and the localizing subcategories   of the whole category are classified
by topological spaces with the   same underlying set. Examples include the
derived category of a   commutative noetherian ring and the stable module
category of a finite   group. A well-generated triangulated category is
generated by a set of   $\alpha$-compact objects for some regular cardinal
$\alpha$. Under some   mild conditions the $\alpha$-localizing subcategories of
$\alpha$-  compact objects are also classified by a topological space.

In my talk   I explain the connection between the topological spaces classifying
the   thick subcategories of the compact objects, the $\alpha$-localizing
subcategories of the $\alpha$-compact objects, and the localizing
subcategories.

This is joint work with Henning Krause.
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Viernes 26/5 a las 11:15, Salón de Seminarios del IMERL y a través de Zoom

Contacto: Marco A. Pérez - mperez en fing.edu.uy
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Información    de    acceso a Zoom / Zoom access info:  Enlace / link:    https
://salavirtual-udelar.zoom.us/j/85001311823   ID    de    reunión / Meeting ID:
850 0131 1823
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