Talk by Fosco Loregian

[Fabio Perroni]

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SISSA GEOMETRY SEMINARS
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Fosco Loregian will give a talk on

"A characterization of quasicategorical t-structures"

on Tuesday, March 31th 2015, at 4:00 pm in Room 136, SISSA building A.


Abstract:
After having introduced the basic definition of ∞-category and stable  
∞-category, we characterize t-structures in stable ∞-categories as  
suitable quasicategorical factorization systems. More precisely we  
show that a t-structure t on a stable ∞-category C is equivalent to a  
normal torsion theory F on C, i.e. to a factorization system F=(E,M)  
where both classes satisfy the 3-for-2 cancellation property, and a  
certain compatibility with pullbacks/pushouts.


F. Perroni