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CATEGORIES:Geometry and Mathematical Physics seminar
SUMMARY:Some homological algebra behind scattering diagram
s - Hipolito Treffinger\, University of Leicester
DTSTART:20191210T143000Z
DTEND:20191210T153000Z
UID:TALK3999AT
URL:/talk/index/3999
DESCRIPTION:The notion of scattering diagram arose in mirror s
ymmetry and have shown to be a powerful tool in th
e study of cluster algebras\, being used to prove
a wide range of conjectures in the theory. Recentl
y\, Bridgeland showed that cluster scattering diag
rams can be built using the representation theory
of quivers using stability conditions and motivic
Hall algebras. Moreover\, he showed that his metho
ds can be applied in a much more general setting\,
constructing a scattering diagram for every finit
e dimensional algebra over an algebraically closed
field.\n\nIn this talk\, after explaining briefly
the construction by Bridgeland\, I will show how
the stability conditions used in his construction
can be recovered by the homological properties of
the module category the algebra. Time permitting\,
I will talk about some "toric" properties arising
in the homological algebra of module categories.
\n\nPart of this work is joint with T. Brustle and
D. Smith from the University of Sherbrooke.
LOCATION:Poynting Small Lecture Theatre (S06)
CONTACT:Timothy Magee
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