Algebra/Topology seminar

Speaker: Vladimir Sosnilo (St. Petersburg State University)

Title: Weight structures on stable infinity-categories

Abstract: A weight structure is an extra structure on a stable infinity-category very similar to a t-structure. In fact, the only difference in the definition is that 2 of 3 axioms are replaced by their categorical duals. However, it turns out that the two structures behave very differently. We discuss main examples and general properties of weight structures, such as the theorem of the heart, and their applications to motives.