BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Beatrice Brienza (IMPA) DTSTART:20260821T170000Z DTEND:20260821T180000Z DTSTAMP:20261103T093331Z UID:AmSurAmSulGeometry/113 DESCRIPTION:Title: Hermitian curvature flow and HKT geometry\nby Beatrice Br ienza (IMPA) as part of Geometry Webinar AmSur /AmSul\n\n\nAbstract\nWe in troduce a Hermitian curvature flow that preserves HKT geometry and whose f ixed points are HKT–Einstein metrics. This flow is strictly related to t he quaternionic Monge–Ampère equation. We develop a basic regularity th eory and establish a monotonicity formula for the Chern scalar curvature. We then formulate a conjecture characterizing the maximal existence time a nd prove a conditional version of it\; in real dimension four\, we establi sh the conjecture unconditionally. Finally\, we construct a divergent sequ ence of HKT–Einstein metrics on quaternionic Hopf surfaces. These provid e the first non-homogeneous examples of HKT–Einstein metrics in the lite rature and highlight the subtlety of the long-time convergence problem. Th is is a joint paper with J. Streets.\n LOCATION:https://researchseminars.org/talk/AmSurAmSulGeometry/113/ END:VEVENT END:VCALENDAR