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DTSTART:20190906T210000Z
UID:142781@events.unl.edu
DTSTAMP:20190825T124528Z
ORGANIZER;CN=David Pitts:MAILTO:dpitts2@unl.edu
SUMMARY:John Meakin\, University of Nebraskaâ€“Lincoln
STATUS:CONFIRMED
DESCRIPTION:The study of Leavitt path algebras is an outgrowth of work done
by Bill Leavitt\, long-time faculty member in mathematics at UNL\, in the
early 1960's. Leavitt path algebras are F-algebras built essentially from
a field F and paths in a directed graph. Reasonable necessary and suffici
ent graph-theoretic conditions for two directed graphs to have isomorphic
Leavitt path algebras are not known. In this talk I will discuss a recent
construction\, due to Zhengpan Wang and myself\, of a semigroup associated
with a directed graph that we call the Leavitt inverse semigroup of the g
raph. Leavitt inverse semigroups are closely related to graph inverse semi
groups and Leavitt path algebras. Leavitt inverse semigroups provide a cer
tain amount of structural information about Leavitt path algebras. For exa
mple if two graphs have isomorphic Leavitt inverse semigroups then they ha
ve isomorphic Leavitt path algebras\, but the converse is false. I will di
scuss some topological aspects of the structure of graph inverse semigroup
s and Leavitt inverse semigroups\: in particular\, I will provide necessar
y and sufficient conditions for two graphs to have isomorphic Leavitt inve
rse semigroups.\n \nThis is joint work with Zhengpan Wang\, Southwest Univ
ersity\, Chongqing\, China.
LOCATION:Avery Hall Room 115
URL://events.unl.edu/math/2019/09/06/142781/
DTEND:20190906T215000Z
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