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CATEGORIES:Geometry and Mathematical Physics seminar
SUMMARY:A primer on Calabi-Yau algebras - Dan Kaplan\, Uni
versity of Birmingham
DTSTART:20200204T160000Z
DTEND:20200204T170000Z
UID:TALK4144AT
URL:/talk/index/4144
DESCRIPTION:Calabi-Yau (CY) algebras are ubiquitous in geometr
y\, arising for example as functions on an affine
CY-variety\, group algebras of the fundamental gro
up of a manifold\, and Jacobi algebras of a quiver
with potential. In this talk I'll provide an exam
ple-oriented treatment of their history\, properti
es\, and applications. Then I'll turn to preprojec
tive algebras\, which are classically 2-CY in the
non-Dynkin case. Finally\, I'll discuss joint work
with Travis Schedler where we conjecture the same
for a multiplicative version of preprojective alg
ebras -- defined by Crawley-Boevey and Shaw -- and
prove the conjecture for quivers containing a cyc
le.
LOCATION:Physics West 115
CONTACT:Timothy Magee
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