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Category Theory and its Applications
September 15, 2017 15:30, Moscow, International laboratory for Mirror Symmetry and Automorphic Forms, 6 Usacheva ul.
 


Exotic $t$-structures on the product of two elliptic curves

A. I. Efimov

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Abstract: In this talk I will recall the notion of a partially defined operation of a tensor product of $t$-structures on enhanced triangulated categories. In general, the existence of a product is very difficult to establish. Then I will sketch the proof of the following statement: such a tensor product exists in the case of two isogenous elliptic curves and $t$-structures associated with irrational slopes, which are related by a fractional-linear transform from $PGL^{-2}(Q)$.

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