BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Marie-Amelie Lawn (Imperial College London) DTSTART:20240313T160000Z DTEND:20240313T170000Z DTSTAMP:20260423T052837Z UID:VSGS/87 DESCRIPTION:Title: Ge neralized spin structures and homogeneous spaces\nby Marie-Amelie Lawn (Imperial College London) as part of Virtual seminar on geometry with sym metries\n\n\nAbstract\nSpin geometry is a useful tool to describe geometri c properties of manifolds. For instance\, it is well-known that a manifold admitting parallel spinors has to be Ricci flat. Another example is Seibe rg-Witten theory which relies on the existence of a notion of spin structu re on 4-manifolds. However not every manifold admits a classical spin str ucture. In this talk we generalise this notion\, so that every manifold ad mits a generalised spin structure. We look at obstructions for such struct ure and study their G-equivariance in the case of homogeneous spaces G/H. We will discuss the spheres as an example.\n LOCATION:https://researchseminars.org/talk/VSGS/87/ END:VEVENT END:VCALENDAR