BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Shai Keidar (University of Regensburg) DTSTART:20261111T160000Z DTEND:20261111T173000Z DTSTAMP:20261115T001833Z UID:tandg/44 DESCRIPTION:Title: T he multiplicative structure of higher cobordism categories\nby Shai Ke idar (University of Regensburg) as part of Topology and Geometry Seminar ( Texas\, Kansas)\n\n\nAbstract\nThe Pontryagin-Thom theorem identifies the $n$-th stable homotopy group of spheres with framed $n$-manifolds up to co bordism\, together with their graded ring structure\, where disjoint union and Cartesian product correspond to addition and multiplication\, respect ively. The Baez-Dolan cobordism hypothesis provides a higher-categorical l ift\, stating that the $(∞\, n)$-category ${\\rm Bord}_n$ of framed cobo rdisms is the free $(∞\, n)$-category generated by a fully dualizable ob ject. While the additive structure lifts naturally on both the geometric a nd categorical sides\, the multiplicative structure is more subtle. In joi nt work in progress with Leor Neuhauser\, we construct a compatible multip licative structure on both sides and show that they coincide under the cob ordism hypothesis.\n LOCATION:https://researchseminars.org/talk/tandg/44/ END:VEVENT END:VCALENDAR