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PRODID:iCalendar-Ruby
BEGIN:VEVENT
CATEGORIES:Academics,Lectures & conferences
DESCRIPTION:Title: Bott-Chern formality and Massey products on solvmanifold
s\n\n \n\nAbstract: : Compact Kaehler manifolds and\, more generally\, com
pact complex manifolds satisfying the $\partial \overline \partial$- lemma
are formal in the classical sense of Sullivan and of Dolbeault. However\, f
or the notion of formality adapted to the Bott-Chern cohomology of a compac
t complex manifold\, it has been shown that the (triple) Aeppli-Bott-Chern-
Massey products (shortly\, ABC-Massey products) do not obstruct the $\parti
al \overline \partial$-lemma. It is natural\, then\, to ask whether the exi
stence of such products constitutes an obstruction for stronger properties\
, e.g.\, admitting a Kaehler metric.\n\nIn this talk\, I will present a pos
itive answer for the class of Kaehler solvmanifolds\, by first showing a wa
y of computing the cohomology of any Kaehler solvmanifold and then\, by pro
ving that\, on such a manifold\, every ABC-Massey product vanishes. Moreove
r\, I will provide an example of a compact complex non-Kaehler manifold adm
itting a non vanishing quadruple ABC-Massey product\, in the class of holom
orphically parallelizable solvmanifolds. This is a joint work with Adriano
Tomassini.
DTEND:20240216T173000Z
DTSTAMP:20240528T034308Z
DTSTART:20240216T163000Z
GEO:25.756165;-80.374741
LOCATION:DM - Deuxieme Maison\, 409A
SEQUENCE:0
SUMMARY:Bott-Chern Formality and Massey Products on Solvmanifolds
UID:tag:localist.com\,2008:EventInstance_45646917101978
URL:https://calendar.fiu.edu/event/bott-chern_formality_and_massey_products
_on_solvmanifolds
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