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X-FROM-URL:https://eom.sdu.dk/events/ical/92eca0e3-ebe4-4f83-8d4c-0eb0deb2
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X-WR-CALNAME:QM Research Seminar: Counting in Calabi-Yau categories
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TZID:Europe/Copenhagen
X-LIC-LOCATION:Europe/Copenhagen
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DTSTAMP:20260720T030813Z
DTSTART:20261028T030000
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DESCRIPTION:[b]Speaker: Fabian Haiden [/b](QM\, University of Southern Den
 mark) [nl][nl]\n[b]Abstract:[/b][nl] \nI will discuss a replacement for h
 omotopy cardinality in situations where it is a priori ill-defined\, incl
 uding Z/2-graded dg-categories. A key ingredient are Calabi-Yau structure
 s and their relative generalizations. As an application we obtain a Hall 
 algebra for many pre-triangulated dg-categories for which it was previous
 ly undefined. Another application is the proof of a conjecture of Ng-Ruth
 erford-Shende-Sivek expressing the ruling polynomial of a Z/2m-graded Leg
 endrian knot (which is part of the HOMFLY polynomial if m=1) in terms of 
 the homotopy cardinality of its augmentation category. All this is joint 
 work with Mikhail Gorsky.\n[nl]\n[nl]
DTEND:20240911T140000Z
DTSTAMP:20260720T030813Z
DTSTART:20240911T130000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: Counting in Calabi-Yau categories
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