BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Global formality for embeddings of varieties [MPIM]
DTSTART:20250625T083000Z
DTEND:20250625T100000Z
DTSTAMP:20260416T080000Z
UID:indico-event-521@math-events.uni-bonn.de
DESCRIPTION:Speakers: Alexander Vitanov (IHES)\n\nHigher Differential Geom
 etry Seminar \nI will discuss a joint work in progress with Damien Calaqu
 e aimed at globalizing a local formality result by Calaque-Felder-Ferrario
 -Rossi. Concretely\, for an embedding of smooth varieties $X \\hookrightar
 row Y$\, I will explain the construction of a global $L_\\infty$-quasi-iso
 morphism between the polyvector field-valued differential-graded Lie algeb
 ra controlling the Kodaira-Spencer deformations of $X$ inside of $Y$ and t
 he Hochschild cochain complex of an $A_\\infty$-category describing the $A
 _\\infty$-bimodule deformations of the structure sheaf of $X$ associated w
 ith the relative Kodaira-Spencer class. I will report on how this formalit
 y map is used to derive certain general isomorphisms between Ext-algebras 
 of embeddings of varieties.\n\nhttps://math-events.uni-bonn.de/event/521/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/521/
END:VEVENT
END:VCALENDAR