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DTSTART:20250330T010000
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DTSTART;TZID=Europe/Sofia:20250729T130000
DTEND;TZID=Europe/Sofia:20250729T143000
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CREATED:20250728T210248Z
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SUMMARY:Общ семинар на секция "Анализ\, геометрия и топология"
DESCRIPTION:Семинар “Анализ\, геометрия и топология”\nВторник\, 29 юли 2025 г.\, 13:00 ч.\, зала 403 на ИМИ – БАН.\n\nSpeaker: Asia Mainenti\, IMI and ICMS\, Sofia\n\nHodge-Riemann balanced structures on non-Kähler manifolds\n\nРезюме:  A Hodge-Riemann balanced structure on a complex manifold is the datum of a balanced metric whose (n-1)-th power can be decomposed into the wedge product of two differential forms\, satisfying the classical Hodge-Riemann bilinear relations. Such structures were introduced by X. Chen and R. Wentworth\, to generalize the nonabelian Hodge correspondence to non-Kähler Hermitian metrics. However\, there are no known examples of Hodge-Riemann balanced structures on non-Kähler manifolds. The aim of this talk is to address this lack of examples\, highlighting the relation with p-Kähler structures and discuss some obstruction results in the class of solvmanifolds. Lastly\, we will present the first example of such a structure on a non-Kähler\, non-compact complex manifold obtained as the product of the Iwasawa manifold by C. This is joint work with A. Fino.
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%b8-26/
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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