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SUMMARY:Sota Asai (Osaka University)
DTSTART:20201123T080000Z
DTEND:20201123T085000Z
DTSTAMP:20260419T112545Z
UID:icra2020/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/icra2020/17/
 ">The wall-chamber structures of the real Grothendieck groups</a>\nby Sota
  Asai (Osaka University) as part of ICRA 2020\n\n\nAbstract\nFor a given f
 inite-dimensional algebra A over a field\, stability conditions introduced
  by King define the wall-chamber structure of the real Grothendieck group 
 K0(projA)R \, as in the works of Br"{u}stle–Smith–Treffinger and Bridg
 eland. In this talk\, I would like to explain my result that the chambers 
 in this wall-chamber structure are precisely the open cones associated to 
 the basic 2-term silting objects in the perfect derived category. As one o
 f the key steps\, I introduced an equivalence relation called TF equivalen
 ce by using numerical torsion pairs of Baumann–Kamnitzer–Tingley. If t
 ime permits\, I will give some further results which were obtained in the 
 ongoing joint work with Osamu Iyama.\n
LOCATION:https://researchseminars.org/talk/icra2020/17/
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