

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 fractionallinear transform from $PGL^{2}(Q)$.

