The poster sessions will take place during the coffee breaks on Tuesday afternoon, Wednesday and Thursday

Jinan LOUBANI (Toulouse, France)
Moduli spaces of a family of topologically non quasihomogeneous functions.
We consider a topological class of a germ of complex analytic function in two variables which does not belong to its jacobian ideal. Such a function is
not quasihomogeneous. Each element $f$ in this class induces a germ of foliation $(df = 0)$. This poster presents a local result about the moduli spaces of the
foliations in this class. More precisely, it gives the dimension of the tangent space to the moduli space, describes the local moduli space and gives local analytic normal forms. It also presents a result regarding the uniqueness of these normal forms.

Beatriz MOLINASAMPER (VALLADOLID, SPAIN)
Newton nondegenerate foliations
We introduce the concept of Newton nondegenerate foliations, generalizing the wellknown definition of Oka (1996) for germs of plane curves.
We prove that this foliations are exactly the ones that have a combinatorial reduction of singularities, in particular it is given by a reduction of singularities of the associated Newton polyhedra system.

Younes NIKDELAN (Rio de Janeiro, Brazil)
Modular vector fields attached to Dwork family
This poster is based on my latest work with H. Movasati (see arXiv:1603.09411),
which is a part of the project called GaussManin Connection in Disguise, started
by H. Movasati. Here we introduce a moduli space $\sf{T}$ of the
enhanced CalabiYau $n$folds arising from Dwork family and describe a unique vector field
$\sf{R}$, calling modular vector field, in $\sf{T}$, whose stisfies certain properties with
respect to the underlying GaussManin connection. For $n=1,2$ we compute explicit
expressions of $\sf{R}$ and give a solution of $\sf{R}$ in terms of quasimodular
forms. Somehow, we can consider $\sf R$ as a generalization of DarbouxHalphen and Ramanujan systems of ordinary differential equations.

Valente RAMíREZ (Rennes, France)
An example of a nonalgebraizable singularity
The existence of nonalgebraizable singularities was discovered by Genzmer and Teyssier in 2010, where they prove the existence of countably many classes of saddlenode singularities which are not algebraizable. Their proof, however, is of an existential nature and does not provide any concrete examples.
In this poster we will present the first explicit example of a nonalgebraizable singularity. The construction is based on the formal classification of nondicritic degenerate singularities given by OrtizBobadilla, RosalesGonzález and Voronin 2012.
This example was constructed in collaboration with Frank Loray.

Maria elenice RODRIGUES HERNANDES (Maringá, Brazil)
Parametrized Monomial Surfaces in $\mathbb{C}^4$
Monomial maps are an
interesting class that was explored by many authors. In this work we classify germs of parametrized monomial
surfaces defined by $f:(\mathbb{C}^2,0) \to (\mathbb{C}^4,0)$ that are ${\mathcal A}$finitely determined, where ${\mathcal A}$ is the group of rightleft equivalences. In particular we can associated to $f(0,y)$ a parametrized plane curve whose semigroup of values is the main tool to the classification of parametrized monomial surfaces, and important to obtain some formulae or estimate of invariants associated to this class of map germs.
This is a joint work with Maria Aparecida Soares Ruas.

Yadollah ZARE (Rio de janiero, Brazil)
Pullback foliations and center problem
The space of polynomial differential equations of a fixed degree and with a center singularity has many irreducible components. We prove that pullback differential equations form an irreducible component of such an space. The main tools are PicardLefschetz theory of a polynomial with complex coefficients in two variables, Dynkin diagram of the polynomial , iterated integral , Brieskorn module.