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Title | FD |
Description | TF equivalence classes constructed from canonical FD Seminar Online seminar on representation theory of finite-dimensional algebras FD Seminar Home About Archive BigBlueButton Mailing List Search research |
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WebSite | fd-seminar.xyz |
Host IP | 49.12.109.156 |
Location | India |
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US$622,087
Last updated: 2022-06-23 00:22:46
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FD Seminar Online seminar on representation theory of finite-dimensional algebras FD Seminar Home About Archive BigBlueButton Mailing List Search researchseminars.org Go to the FD Seminar room (access code required) Next talk TF equivalence classes constructed from canonical decompositions Sota Asai Osaka University, JP in your local time zone This talk is based on joint work with Osamu Iyama. Let \(A\) be a finite dimensional algebra over an algebraically closed field. Brüstle-Smith-Treffinger introduced a wall-chamber structure on the real Grothendieck group \(K_0(\operatorname{proj} A)_R\) via stability conditions of King. It is strongly related to TF equivalence, which is an equivalence relation on \(K_0(\operatorname{proj} A)_R\) defined by numerical torsion pairs of Baumann-Kamnitzer-Tingley. Thanks to results by Yurikusa and Brüstle-Smith-Treffinger, I showed that the \(g\)-vector cone \(C^+(U)\) associated to each 2-term presilting complex $U$ in \(K^b(\operatorname{proj} A)\) |
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