Speaker: Tudor Pădurariu (University of Bonn) Title: Abelian quasi-BPS categories Abstract: I will report on joint work in progress with Sabin Cautis and Yukinobu Toda. The Grothendieck group of the Hall category of a quiver is isomorphic to a positive half of the quantum affine algebra corresponding to the quiver. We show that two structures on the Hall category are compatible: a perverse coherent t-structure and a filtration by window categories. In particular, we construct t-structures on the so-called quasi-BPS categories, which generate Hall categories. We thus obtain a refinement…
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