ICTP Mathematics Seminar - Thursday 16 July at 16:00

[Margherita Di Giovannantonio]

M A T H E M A T I C S   S E M I N A R S   2015

Thursday 16 July, at 16:00 hrs.


Alexey Bondal (Steklov Mathematical Institute, Russian Federation)


Title:
Unbiased bases and mirror symmetry


Abstract:
I will show how the problem of pairs of mutually unbiased bases can be 
interpreted as an intersection of two Lagrangian varieties in a product 
of coadjoint orbits. Using a symplectic embedding of the cotangent 
bundle to  one of these Lagrangian varieties into the product, we 
realize the intersection as critical points of a potential, which is a 
Laurent polynomial. We describe the mirror dual symplectic toric variety 
via the Birkoff polytope of double stochastic matrices and explain its 
relation to hyperkahler rotation.



VENUE:  Luigi Stasi Seminar Room  (ICTP Leonardo da Vinci Building, 
first floor)