[Todos CMAT] Seminario de Álgebra del IMERL - Kostiantyn Iusenko (Universidade de São Paulo)

[seminarios en cmat.edu.uy]

Seminario de Álgebra del IMERL
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Título: "Stable representations of posets and derivation"

Expositor: Kostiantyn Iusenko (Universidade de São Paulo)

Resumen:
 
In this talk, I aim to discuss recent results concerning (semi)-stable
representations of posets. Nazarova and Roiter originally defined poset
representations as a tool for studying representations of specific algebras and
as an approach to the Brauer-Thrall conjecture. They introduced an efficient
algorithm, the differentiation procedure, which Kleiner used to describe posets
of finite representation types. Later, Gabriel formulated this procedure in a
functorial way. Similar to the quiver language approach (as done by King), one
can construct a moduli space of poset representations by studying semi-stable
objects in corresponding categories. One of the main objectives of the talk is
to explain how the differentiation functor acts on stable representations. In
certain cases, the obtained results allow us to characterize the Schurian
dimensions of the derived posets.
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Viernes 17/11 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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