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TZOFFSETFROM:+0900
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DTSTART:20220101T000000
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DTSTART;TZID=Asia/Seoul:20230906T110000
DTEND;TZID=Asia/Seoul:20230906T120000
DTSTAMP:20260418T133806
CREATED:20230731T072411Z
LAST-MODIFIED:20230731T072411Z
UID:2406-1693998000-1694001600@ccg.ibs.re.kr
SUMMARY:George Hitching\, Brill-Noether Loci on Moduli Space of Symplectic Bundles over a Curve
DESCRIPTION:    Speaker\n\n\nGeorge Hitching\nOslo Metropolitan University\n\n\n\n\n\n\nLet C be a smooth projective curve of genus g. The symplectic Brill-Noether locus S(k\, 2n\, K) parametrises stable bundles of rank 2n over C with at least k independent sections\, and which admit a nondegenerate skewsymmetric bilinear form with values in the canonical bundle K. This is a symmetric determinantal variety whose tangent spaces are described by a symmetrised Petri map. We show for many values of g\, n and k that S(k\, 2n\, K) is nonempty and has a component which is generically smooth and of the expected dimension. As an application\, we show that for certain n and k\, for any curve of large genus the usual Brill-Noether locus B(k\, 2n\, 2n(g-1)) has a component of excess dimension. This is joint work with Ali Bajravani (Tabriz/Berlin).
URL:https://ccg.ibs.re.kr/event/2023-09-06/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
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