Refined invariants for real elliptic curves.

Resumen:

The talk is devoted to several real and tropical 
enumerative problems. We suggest new invariants of 
the projective plane (and, more generally, of toric 
surfaces) that arise as results of an appropriate 
enumeration of real elliptic curves. These invariants 
admit a refinement similar to the one introduced by 
Grigory Mikhalkin in the rational case. We discuss 
tropical counterparts of the elliptic invariants under 
consideration and prove a recursive formula allowing 
one to compute them.
This is a joint work with Eugenii Shustin.

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