Title: Triangulated Subcategories of Finite Spectra.

Speaker: Sunil Chebolu

Abstract: Consider a stable homotopy category, such as the stable category
of spectra or the derived category of some ring, and let $\mathcal{F}$
denote the full subcategory of its finite objects. Now one can ask,
``What are all the triangulated subcategories of $\mathcal{F}$?'' This
question leads to the study of Krull-Schmidt decompositions and
$K$-theory for thick subcategories. In this talk, I will explain how one
can address this question using a recipe of Thomason and report some
results and work in progress in this direction.