Non-Commutative Toric Varieties

Ponente(s): Ignacio Hermelindo Otero Rubio

In this talk, I will describe the construction of some non-commutative objects called "non-commutative toric varieties". In classical toric geometry, toric varieties are obtained by gluing commutative spaces through prescribed combinatorial data. The non-commutative toric varieties can be defined in a similar way, where the "basic blocks" of construction are "non-commutative tori".