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DTSTART;TZID=Europe/Sofia:20250722T130000
DTEND;TZID=Europe/Sofia:20250722T143000
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SUMMARY:Joint Seminar of the Analysis\, Geometry and Topology Department
DESCRIPTION:A joint meeting of the ICMS Seminar and the seminar “Analysis\, geometry and topology” at IMI-BAS will be held next Tuesday\, with a talk by Elia Fusi. The details are as follows.\n\nTuesday\, July 22-nd\, 1:00 pm\, room 403 of IMI-BAS.\nElia Fusi\, University of Torino.\nSpecial metrics in hypercomplex geometry\n\nAbstract:The existence of special hyperHermitian metrics plays an important role in the study of hypercomplex manifolds. In this talk\, after a brief overview of the basic definitions in hypercomplex Geometry\, we will discuss two of the main types of special metrics in the hypercomplex setting: quaternionic Gauduchon and strong HKT metrics. First of all\, we will discuss sufficient and equivalent conditions for a quaternionic Gauduchon metric to exist.  Afterwards\, we will show that strong HKT and balanced hyperHermitian metrics cannot coexist on a compact non-hyperKähler manifold\, proving a particular instance of the Fino-Vezzoni conjecture. Finally\, we will introduce an Einstein condition for hyperHermitian metrics and describe the similarities with the Kähler-Einstein case.\nThis is a joint work with Giovanni Gentili.\n\nFurther information can be found at\nhttps://icms.bg/category/icms-seminar/
URL:https://math.bas.bg/event/joint-seminar-of-the-analysis-geometry-and-topology-department-22/?lang=en
LOCATION:Institute of Mathematics and Informatics\, BAS\, Akad.G.Bonchev St\, bl. 8\, 1113\, Sofia\, Bulgaria
CATEGORIES:Regular Seminar
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