BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Daniel Halpern-Leistner (Cornell University)
DTSTART:20201030T153000Z
DTEND:20201030T170000Z
DTSTAMP:20260423T023054Z
UID:UBC-AG/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UBC-AG/6/">D
 erived Theta-stratifications and the D-equivalence conjecture</a>\nby Dani
 el Halpern-Leistner (Cornell University) as part of UBC Vancouver Algebrai
 c Geometry Seminar\n\n\nAbstract\nThe D-equivalence conjecture predicts th
 at birationally equivalent projective Calabi-Yau manifolds have equivalent
  derived categories of coherent sheaves. It is motivated by homological mi
 rror symmetry\, and has inspired a lot of recent work on connections betwe
 en birational geometry and derived categories. In dimension 3\, the conjec
 ture is settled\, but little is known in higher dimensions. I will discuss
  a proof of this conjecture for the class of Calab-Yau manifolds that are 
 birationally equivalent to some moduli space of stable sheaves on a K3 sur
 face. This is the only class for which the conjecture is known in dimensio
 n >3. The proof uses a more general structure theory for the derived categ
 ory of an algebraic stack equipped with a Theta-stratification\, which we 
 apply in this case to the Harder-Narasimhan stratification of the moduli o
 f sheaves.\n
LOCATION:https://researchseminars.org/talk/UBC-AG/6/
END:VEVENT
END:VCALENDAR