Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series MATH-IHES
Subjects math
Date Wednesday 22 January 2020
Time 10:30
Institute IHES
Seminar Room Amphithéâtre Léon Motchane
Speaker's Last Name Bondarko
Speaker's First Name Mikhail
Speaker's Email Address
Speaker's Institution St. Petersburg State University
Title Weight Structures on Triangulated Categories
Abstract Weight structures give certain filtrations of triangulated categories; the definition is a certain cousin of that of t-structures. Particular cases of weight decompositions give stupid filtrations of complexes and cellular towers for spectra. I will also mention interesting motivic and Hodge-theoretic examples of weight structures along with methods for constructing them. Weight structures yield weight filtrations and spectral sequences for cohomology as well as certain weight complex functors. In particular, there exists an exact conservative functor from (relative) constructible Voevodsky motives into complexes of Chow motives, whereas the corresponding weight spectral sequences vastly generalize Deligne's ones. Lastly, the relations between weight structures and t-structures yield new methods for constructing t-structures and proving their properties.
arXiv Preprint Number

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