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CATEGORIES:Lecture / Talk / Workshop
DESCRIPTION:Yasin Uskuplu\, USC\n\n\nTitle: A Primer on A_infinity Algebras
II\n\n\nAbstract: In this talk\, I will continue to introduce A_infinity a
lgebras to a broad audience from where I left off in the first talk. In oth
er words\, I will start with A_infinity homotopy and then introduce one of
the applications\, called Homological Perturbation Lemma (HPL)\, which endo
ws a cochain complex with an A_infinity algebra structure. One of its signi
ficant consequences is that in A_infinity world\, any quasi-isomorphism has
a quasi-inverse up to homotopy\, which is not necessarily true in the dg c
ategory of cochain complexes. I also want to touch upon the formality of dg
algebras closely related to HPL. I aim to provide some examples of non-for
mal dg algebras\, such as Borromean rings or Brunnian links in general.
DTEND:20240424T000000Z
DTSTAMP:20240725T001629Z
DTSTART:20240423T230000Z
GEO:34.022409;-118.291027
LOCATION:Kaprielian Hall (KAP)\, 245
SEQUENCE:0
SUMMARY:Graduate Colloquium: A Primer on A_infinity Algebras II
UID:tag:localist.com\,2008:EventInstance_46182580379627
URL:https://calendar.usc.edu/event/graduate-colloquium-a-primer-on-a-infini
ty-algebras-ii
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