Category Theory and its Applications: A.Efimov (NRU HSE)
The Seminar «Category Theory and its Applications» will take place on Tuesday, Sep 15 at 15:30 in the room 215.
A.Efimov (НИУ ВШЭ) will give a talk «Exotic t-structures on the product of two elliptic curves».
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).