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SUMMARY:Shinnosuke Okawa (Osaka University)
DTSTART:20210204T110000Z
DTEND:20210204T120000Z
DTSTAMP:20260423T035814Z
UID:ZAG/92
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/92/">Mod
 uli space of semiorthogonal decompositions</a>\nby Shinnosuke Okawa (Osaka
  University) as part of ZAG (Zoom Algebraic Geometry) seminar\n\n\nAbstrac
 t\nSemiorthogonal decomposition (SOD) of triangulated categories is quite 
 interesting and of fundamental importance for various reasons. For example
 \, SOD of the derived category of coherent sheaves is closely related to t
 he geometry of varieties\, such as the minimal model program (MMP) among o
 thers. It is therefore desirable to understand the general properties of S
 ODs\, partly so as to classify SODs of as many triangulated categories as 
 possible. The purpose of this talk is to explain certain moduli spaces of 
 SODs which we introduced. To a smooth projective morphism of excellent sch
 emes f: X \\to B\, we associate an algebraic space over B which classifies
  the SODs of the derived categories of the fibers of f. We will discuss pr
 operties and various aspects of this moduli space including applications\,
  comparison to MMP\, and open problems.\n
LOCATION:https://researchseminars.org/talk/ZAG/92/
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