**Jean-michel Kantor**

IMJ Jussieu, Paris, France

September 19, 2013

**Combinatorics and algebraic geometry:some examples from toric varieties**:
I will survey some recent combinatorial statements and open problems
coming from the classical dictionary between lattice polytopes and toric varieties,for example
-the counting of lattice points in a lattice polytope $P$,
-the triangulation of $P$ or $k P$,
-the family of empty lattice-polytopes