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SUMMARY:Pim Spelier (Leiden University)
DTSTART:20240614T123000Z
DTEND:20240614T133000Z
DTSTAMP:20260422T172514Z
UID:TGiZ/62
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TGiZ/62/">Th
 e log tautological ring of the moduli space of curves</a>\nby Pim Spelier 
 (Leiden University) as part of Tropical Geometry in Frankfurt/Zoom TGiF/Z\
 n\n\nAbstract\nThe tautological ring of Mgn-bar has been a crucial object 
 in the study of the intersection theory of the moduli space of curves. Rec
 ently\, there has been more focus on the logarithmic enumerative geometry 
 of Mgn-bar\, with interesting classes coming from e.g. log double ramifica
 tion cycles. We present a definition of the log tautological ring of Mgn-b
 ar\, together with a log decorated strata algebra\, and prove several stru
 cture results. The main new tools are the notions of cone stacks with boun
 dary and homological piecewise polynomials\, that capture the tropicalisat
 ion of strata of log smooth stacks and the combinatorial part of their int
 ersection theory.\nThis is joint work with Rahul Pandharipande\, Dhruv Ran
 ganathan and Johannes Schmitt.\n
LOCATION:https://researchseminars.org/talk/TGiZ/62/
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