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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
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Tilting objects and Koszul algebras
Let $X$ be a smooth variety over a field, and $T\in D^b(Coh(X))$ be a tilting object, i.e. (1) $Ext^i(T,T)=0$ for all $ i\neq 0$; (2)Tilting algebra $A:=End(T)$ has finite global dimension; (3)$add$-$ …