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SUMMARY:Yuta Kimura (Osaka Metropolitan University)
DTSTART:20240228T043000Z
DTEND:20240228T053000Z
DTSTAMP:20260423T035814Z
UID:OISTRTS/57
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/57/"
 >Classifying torsion classes of Noetherian algebras</a>\nby Yuta Kimura (O
 saka Metropolitan University) as part of OIST representation theory semina
 r\n\n\nAbstract\nLet R be a commutative Noetherian ring and A a Noetherian
  R-algebra. In this talk\, we study classification of torsion classes\, to
 rsion free classes and Serre subcategories of modA. In the case where A=R\
 , such subcategories were classified by Gabriel\, Takahashi and Stanley-Wa
 ng by using prime ideals of R. If R is a field\, then A is a finite dimens
 ional algebra\, and there are many studies of such subcategories relating 
 with tilting theory. For a Noetherian algebra case\, localization of A at 
 a prime ideal of R plays an important role. We see that classification can
  be reduced to finite dimensional algebras. If A is commutative\, our resu
 lts cover cases of commutative rings. This is joint work with Osamu Iyama.
 \n
LOCATION:https://researchseminars.org/talk/OISTRTS/57/
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