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X-FROM-URL:https://eom.sdu.dk/events/ical/c1b93f3b-dc8c-4a53-ac6e-bd52a1cc
 0c62
X-WR-CALNAME:QM Research Seminar: Canonical local to global extensions of 
 topological field theories
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TZID:Europe/Copenhagen
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DTSTAMP:20260513T130658Z
DTSTART:20261028T030000
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DTSTART:20260325T020000
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DESCRIPTION:[b]Speaker: Adela Zhang [/b](​University of Copenhagen)\n\n[b]
 Abstract:[/b]\nWith Barkan and Steinebrunner\, we show that any open fiel
 d theory extends canonically to an open-closed field theory whose value a
 t the circle is the Hochschild homology object of the E_1-Frobenius algeb
 ras (i.e. E_1-Calabi-Yau objects) A associated to F. In particular\, we s
 how that the open-closed bordism category is obtained by formally adjoini
 ng iterated Hochchild homology to the open bordism category. As a corolla
 ry\, we determine that the moduli spaces of surfaces is the space of univ
 ersal formal operations on the Hochschild homology object of E_1-Frobeniu
 s algebras. This provides a space level refinement of previous work of Co
 stello (over Q) and Wahl (over Z).\n\nTime permitting\, I will also expla
 in work with Andrea Bianchi on canonical local to global extensions of gr
 aph TFTs associated with E_\infty-Frobenius objects\, i.e. in dimension i
 nfinity. In this case\, we show that the graph cobordism category is obta
 ined by formally adjoining to the \infty-category of graphs the factoriza
 tion homology of the universal E_\infty-Frobenius algebra over any sapce 
 X.
DTEND:20260204T150000Z
DTSTAMP:20260513T130658Z
DTSTART:20260204T140000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: Canonical local to global extensions of topol
 ogical field theories
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