BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Fabian Ruehle (Northeastern University) DTSTART:20210916T185000Z DTEND:20210916T195000Z DTSTAMP:20260423T022918Z UID:GPRTatNU/29 DESCRIPTION:Title: Geodesics and topological transitions in Calabi-Yau manifolds of Picard rank two\nby Fabian Ruehle (Northeastern University) as part of Geomet ry\, Physics\, and Representation Theory Seminar\n\n\nAbstract\nWe discuss the structure of the Kähler moduli space of Picard rank two Calabi-Yau t hreefolds\, which are given in terms of complete intersections in projecti ve ambient spaces\, or as hypersurfaces in toric ambient spaces. As it tur ns out\, flop transitions are ubiquitous in such setups. The triple inters ection form of the Kähler cone generators can be brought into four differ ent normal forms\, and we use this to solve the geodesic equations in the moduli space for each one of them. Moreover\, we will discuss that flops c an lead to isomorphic or non-isomorphic Calabi-Yau manifolds. We find that there exist infinite flop chains of isomorphic geometries\, but only a fi nite number of flops to inequivalent manifolds. Physically\, the latter re sult is expected based on the swampland distance conjecture\, and mathemat ically fits to a conjecture due to Kawamata and Morrison for Calabi-Yau th reefolds.\n LOCATION:https://researchseminars.org/talk/GPRTatNU/29/ END:VEVENT END:VCALENDAR