Support τ-tilting modules are introduced by Adachi, Iyama and Reiten in 2012 as a generalization of classical tilting modules. One of the importance of these modules is that they are bijectively corresponding to many other objects, such as two-term silting complexes and left finite semibricks. Let V be an n-dimensional vector space over an algebraically closed field 𝔽 of characteristic p. Then, the Schur algebra S(n,r) is defined as the endomorphism ring End𝔽Gr(V⊗r) over the group algebra 𝔽Gr of the symmetric group Gr. In this talk, we discuss when the Schur algebra S(n,r) has only finitely many pairwise non-isomorphic basic support τ-tilting modules.
This video was produced by the Okinawa Institute of Science and Technology, as part of their OIST Representation Theory Seminar series.
