Status  Confirmed 
Seminar Series  MATHIHES 
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 tstructures. Particular cases of weight decompositions give stupid filtrations of complexes and cellular towers for spectra. I will also mention interesting motivic and Hodgetheoretic 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 tstructures yield new methods for constructing tstructures and proving their properties. 
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