BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Kwokwai Chan (CUHK)
DTSTART:20210628T010000Z
DTEND:20210628T020000Z
DTSTAMP:20260423T021301Z
UID:IBSCGP/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IBSCGP/12/">
 An algebraic model for smoothing Calabi-Yau varieties and its applications
 </a>\nby Kwokwai Chan (CUHK) as part of IBS-CGP weekly zoom seminar\n\n\nA
 bstract\nWe are interested in smoothing of a degenerate Calabi-Yau variety
  or a pair (degenerate CY\, sheaf). I will explain an algebraic framework 
 for solving such smoothability problems. The idea is to glue local dg Lie 
 algebras (or dg Batalin-Vilkovisky algebras)\, coming from suitable local 
 models\, to get a global object. The key observation is that while this ob
 ject is only an almost dg Lie algebra (or pre-dg Lie algebra)\, it is suff
 icient to prove unobstructedness of the associated Maurer-Cartan equation 
 (a kind of Bogomolov-Tian-Todorov theorem) under suitable assumptions\, so
  the former can be regarded as a singular version of the Kodaira-Spencer D
 GLA. Our framework applies to degenerate CY varieties previously studied b
 y Kawamata-Namikawa and Gross-Siebert\, as well as a more general class of
  varieties called toroidal crossing spaces (by the recent work of Felten-F
 ilip-Ruddat). This talk is based on various joint works with Conan Leung\,
  Ziming Ma and Y.-H. Suen.\n
LOCATION:https://researchseminars.org/talk/IBSCGP/12/
END:VEVENT
END:VCALENDAR