Real enumerative invariants and their refinemen

18.10.2022 14:15 – 16:15

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 (according to the quantum index) similar to the one introduced by Grigory Mikhalkin in the rational case.
We discuss the combinatorics of tropical counterparts of the elliptic invariants under consideration and establish a tropical algorithm allowing one to compute them.
This is a joint work with Eugenii Shustin.

Lieu

Salle 6-13, Séminaire "Geneva-Neuchâtel Symplectic Geometry seminar (GeNeSys)"

Organisé par

Faculté des sciences
Section de mathématiques

Intervenant-e-s

Ilia Itenberg, Sorbonne

entrée libre

Classement

Catégorie: Séminaire

Mots clés: enumerative invariants, tropical counterparts, elliptic invariants