BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Samuel Muñoz-Echániz (University of Cambridge) DTSTART:20250114T160000Z DTEND:20250114T170000Z DTSTAMP:20260423T022623Z UID:Geolis/162 DESCRIPTION:Title: Mapping class groups of h-cobordant manifolds\nby Samuel Muñoz-Echá niz (University of Cambridge) as part of Geometria em Lisboa (IST)\n\n\nAb stract\nA cobordism W between compact manifolds M and M’ is an h-cobordi sm if the inclusions of M and M’ into W are both homotopy equivalences. These sort of cobordisms play an important role in the classification of h igh-dimensional manifolds\, as h-cobordant manifolds are often diffeomorph ic.\n\nWith this in mind\, given two h-cobordant manifolds M and M'\, how different can their diffeomorphism groups Diff(M) and Diff(M') be? The hom otopy groups of these two spaces are the same “up to extensions” in a range of strictly positive degrees. Contrasting this\, I will present exam ples of h-cobordant manifolds in high-dimensions with different mapping cl ass groups. In doing so\, I will review the classical theory of h-cobordis ms and introduce several moduli spaces of manifolds that shed light on thi s question.\n LOCATION:https://researchseminars.org/talk/Geolis/162/ END:VEVENT END:VCALENDAR