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DTSTART;TZID=Europe/Sofia:20241022T140000
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DTSTAMP:20260612T230307
CREATED:20241009T121248Z
LAST-MODIFIED:20241009T121248Z
UID:16877-1729605600-1729611000@math.bas.bg
SUMMARY:Общ семинар на секция "Анализ\, геометрия и топология"
DESCRIPTION:Поредното заседание на Общия семинар на секция “Анализ\, геометрия и топология” ще се проведе\nна 22 октомври 2024 г. от 14:00 часа в зала 478 на ИМИ – БАН.\nДоклад на тема: \nHigher order estimates for Monge-Ampere type equations motivated by quaternionic geometry\nще изнесе Marcin Sroka\, Jagiellonian University\, Kraków\, Poland. \nПоканват се всички интересуващи се. \nРезюме. In the talk I will discuss obstacles for obtaining higher order a priori estimates for equation introduced by Alesker and Verbitsky in 2010 on HKT manifolds in relation to Calabi type conjecture on those manifolds (and similar type PDEs studied since on hypercomplex manifolds). After presenting the state of art\, I will focus on the key second order estimate. For the real Monge-Ampere equation on Riemannian manifolds it follows essentially by Pogorelov calculation\, for the complex Monge-Ampere equation\, in relation to Calabi conjecture\, it was proven by Aubin and Yau. I will use those two as comparison to underline new difficulties related to concavity properties of quaternionic Monge-Ampere operator. \nПосещението на лектора е финансирано по Научна програма ” Повишаване на изследователския капацитет в областта на математическите науки (ПИКОМ)”\, № ДО1-67/05.05.2022. \n\n 
URL:https://math.bas.bg/event/%d0%be%d0%b1%d1%89-%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%bd%d0%b0-%d1%81%d0%b5%d0%ba%d1%86%d0%b8%d1%8f-%d0%b0%d0%bd%d0%b0%d0%bb%d0%b8%d0%b7-%d0%b3%d0%b5%d0%be%d0%bc%d0%b5%d1%82%d1%80%d0%b8-23/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
CATEGORIES:Редовен семинар
ORGANIZER;CN="%D0%A1%D0%B5%D0%BA%D1%86%D0%B8%D1%8F%20%D0%90%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7%2C%20%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F%20%D0%B8%20%D1%82%D0%BE%D0%BF%D0%BE%D0%BB%D0%BE%D0%B3%D0%B8%D1%8F":MAILTO:vmil@math.bas.bg
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