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X-WR-CALDESC:Събития за Institute of Mathematics and Informatics
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DTSTART;TZID=Europe/Sofia:20241015T140000
DTEND;TZID=Europe/Sofia:20241015T153000
DTSTAMP:20260613T000605
CREATED:20241003T141157Z
LAST-MODIFIED:20241003T141242Z
UID:16844-1729000800-1729006200@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 15 октомври 2024 г. от 14:00 часа в зала 478 на ИМИ – БАН.\nДоклад на тема: \nUnimodality Preservation by Ratios of Functional Series and Integral Transforms\nще изнесе Dmitrii Karp\, Holon Institute of Technology\, Holon\, Israel. \nПоканват се всички интересуващи се. \nРезюме. Elementary\, but very useful lemma due to Biernacki and Krzyz (1955) asserts that the ratio of two power series inherits monotonicity from that of the sequence of ratios of their corresponding coefficients. Over the last two decades it has been realized that\, under some additional assumptions\, similar claims hold for more general series ratios and integral transforms as well as for unimodality in place of monotonicity. In the talk\, we discuss conditions on the functional sequence and the kernel of an integral transform ensuring such property. Numerous series and integral transforms appearing in applications satisfy our sufficient conditions\, including Dirichlet\, factorial and inverse factorial series\, Laplace\, Mellin and generalized Stieltjes transforms\, among many others. The key role in our considerations is played by the notion of sign regularity. \n\n 
URL:https://math.bas.bg/event/copy-%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/
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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Sofia:20241022T140000
DTEND;TZID=Europe/Sofia:20241022T153000
DTSTAMP:20260613T000605
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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