[Todos CMAT] Fwd: Recordatorio: Martes 24/8, 10hs seminario Geometría Noconmutativa (GeNoCAS)

[Eugenia Ellis]

Hola a todas y todos, mañana se retoma el seminario de Geometría
Noconmutativa del Atlántico Sur, si hay alguien que quiera recibir las
notificaciones me puede avisar. Estarán anunciadas las charlas en la página
web. Abajo están los detalles.
Saludos
Eugenia

---------- Forwarded message ---------
De: Gisela Tartaglia <gtartaglia en mate.unlp.edu.ar>
Date: lun, 23 de ago. de 2021 a la(s) 13:11
Subject: Recordatorio: Martes 24/8, 10hs seminario Geometría Noconmutativa
(GeNoCAS)
To:

Hola, el próximo martes a las 10:00hs tendremos el seminario virtual
de Geometría Noconmutativa del Atlántico Sur
<http://cms.dm.uba.ar/Members/gcorti/workgroup.GNC/GeNoCAS_seminar/document_view>(GeNoCAS).

En esta oportunidad va  a hablar *GUIDO ARNONE (UBA)*

Título: Nonexistence of graded unital homomorphisms between Leavitt
algebras and their Cuntz splices

If two purely infinite simple Leavitt path algebras L(E) and L(F) have
isomorphic Grothendieck groups, the graphs E and F are related by
means of a finite sequence of four different types of alterations.
Three of these alterations preserve the Morita equivalence class of
L(E). The question remains open in the case of the fourth one, called
the Cuntz splice E _ of E. A case of special interest is that of the
graph  ℛ_n which consists of one vertex and n loops; we write L_n =
L(ℛ_n ) and L_{n¯} =L(ℛ_{n¯}).

Leavitt path algebras are canonically equipped with a ℤ-grading; in
particular, for each m ∈ {0} ∪ ℕ_{≥ 2} both L_n and L_{n¯} are
ℤ/mℤ-graded algebras. It is known that there are no ℤ-graded
isomorphisms between L_n and L_{n¯}. In this talk we will see that
there are no unital ℤ/mℤ-graded morphisms between L_n and L_{n¯} for
any m ∈ {0} ∪ ℕ_{≥ 2}.


Join Zoom Meeting
<https://exactas-uba.zoom.us/j/83915550825>https://exactas-uba.zoom.us/j/83915550825

Meeting ID: 839 1555 0825
Passcode: 550348




Saludos,
Guillermo Cortiñas y Gisela Tartaglia




-- 

Dra Eugenia Ellis
Profesora Adjunta

Instituto de Matemática y Estadística
"Prof. Ing. Rafael Laguardia"
Facultad de Ingeniería - UDELAR
Julio Herrera y Reissig 565 CP11300.
Montevideo, Uruguay.

https://www.fing.edu.uy/~eellis/
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