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DTSTART;TZID=Europe/Sofia:20220329T133000
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UID:12074-1648560600-1648566000@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 29 март 2022 г. от 13:30 часа в зала 478 на ИМИ – БАН.\nДоклад на тема: \nOn Squeezing Function for Planar Domains\n\nще изнесе Ahmed Yekta Ökten\, Institut de Mathématiques de Toulouse\, France. \nПоканват се всички интересуващи се. \nРезюме. Let Ω be a domain in ℂ𝑛 such that the set 𝐸(Ω\, 𝐵𝑛) of injective holomorphic maps from Ω into the unit ball 𝐵𝑛 ⊂ ℂ𝑛 is non-empty. The squeezing function of Ω\, denoted by 𝑆Ω is defined as \n𝑆Ω(𝑧) = sup{𝑟 ∈ (0\, 1): 𝑟𝐵𝑛 ⊂ 𝑓(Ω)\,      𝑓 ∈ 𝐸(Ω\, 𝐵𝑛)\,      𝑓 (𝑧) = 0}. \nIt follows from the definition that the squeezing function is biholomorphically invariant and roughly speaking\, it measures how much a domain looks like the unit ball looking at a fixed point. As expected\, the study of the squeezing function leads to nice results about the properties of the invariant metrics on complex domains. The behaviour of the squeezing function is well studied however very few non-trivial explicit formulas of squeezing functions have been found. \nIn this talk we will establish the explicit formulas of squeezing functions on doubly connected planar domains in an elementary way. With the same method we will also provide bounds to squeezing functions of higher connected domains. Finally\, we will conclude by mentioning other results and further questions about explicit formulas of squeezing functions on planar domains. \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%b8-11/
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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