BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Matrix factorizations from Fukaya categories of surfaces [Bonn sym
 plectic geometry seminar]
DTSTART:20250410T120000Z
DTEND:20250410T130000Z
DTSTAMP:20260415T094400Z
UID:indico-event-318@math-events.uni-bonn.de
DESCRIPTION:Speakers: Kyungmin Rho (Universität Paderborn)\n\nBonn Symple
 ctic Geometry Seminar\nBurban-Drozd (2017) classified all indecomposable o
 bjects in the category of maximal Cohen-Macaulay (MCM) modules over the no
 n-isolated surface singularity xyz=0\, and consequently in the category of
  matrix factorizations of xyz. Under homological mirror symmetry (HMS)\, t
 hese algebraic categories are also equivalent to the wrapped Fukaya catego
 ry of the pair-of-pants surface\, as proven by Abouzaid-Auroux-Efimov-Katz
 arkov-Orlov (2013)\, and the equivalence is explicitly realized by Cho-Hon
 g-Lau's localized mirror functor (2017). In this talk\, we investigate the
  objects in the Fukaya category that correspond to the indecomposable MCM 
 modules classified by Burban-Drozd. We show that it is natural to consider
  all "immersed" Lagrangians equipped with local systems as objects of the 
 Fukaya category. Using this geometric description\, we derive an explicit 
 canonical form of matrix factorizations of xyz\, and demonstrate how this 
 perspective leads to new insights and applications in algebraic operations
  via geometric methods. This is based on joint works Cho-Jeong-Kim-Rho (20
 22) and Cho-Rho (2024). \n\nhttps://math-events.uni-bonn.de/event/318/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/318/
END:VEVENT
END:VCALENDAR