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PRODID:-//Center for Complex Geometry - ECPv6.17.2//NONSGML v1.0//EN
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X-WR-CALNAME:Center for Complex Geometry
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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
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DTSTART:20250101T000000
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20260902T160000
DTEND;TZID=Asia/Seoul:20260902T170000
DTSTAMP:20260814T041723Z
CREATED:20260811T033138Z
LAST-MODIFIED:20260814T041723Z
UID:4679-1788364800-1788368400@ccg.ibs.re.kr
SUMMARY:Flag variety bundles encoding pseudo-product structures
DESCRIPTION:    Speaker\n\n\nDavid Sykes\nIBS-CCG\n\n\n\n\n\n\nThis talk will introduce a natural construction for encoding codimension 1 pseudo-product structures into filtered manifolds amenable to analysis by Tanaka prolongation techniques\, and its application to local geometry of CR hypersurfaces. Classically\, Tanaka prolongation has only been applicable to maximally nondegenerate pseudo-product structures\, while our new techniques require much less. The construction recursively produces levels in a tower of fiber bundles inheriting filtered manifold structures from the underlying geometry. In successful cases\, it produces an induced filtered structure with finite-dimensional prolongation\, bringing the underlying pseudo-product structure equivalence problems into the scope of classical Tanaka prolongation techniques. As a practical demonstration\, we will cover the general construction applied to $(2k+3)$-dimensional $k$-nondegenerate CR hypersurfaces\, a complete description of the resulting filtered manifolds’ Tanaka symbols\, and their algebraic prolongations. The talk is based on joint work with Boris Doubrov and Igor Zelenko.
URL:https://ccg.ibs.re.kr/event/tba-8/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Several Complex Variables Seminar
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