Lino Grama

Adjoint Orbits of Semi-Simple Lie Groups and Lagrangian Submanifolds

We give various realizations of the adjoint orbits of a semi-simple Lie group and describe their symplectic geometry. We then use these realizations to identify a family of Lagrangean submanifolds of the orbits.

The Ricci flow of left-invariant metrics on full flag manifold SU(3)/T from a dynamical systems point of view

In this paper we study the behavior of the Ricci flow at infinity for the full flag manifold SU(3)/T using techniques of the qualitative theory of differential equations, in special the Poincare compactification and Lyapunov exponents. We prove that there are four invariant lines for the Ricci flow equation, each one associated with a singularity corresponding to an Einstein metric. In such manifold, the bi-invariant normal metric is Einstein. Moreover, around each invariant line there is a cylinder of initial conditions such that the limit metric under the Ricci flow is the corresponding Einstein metric; in particular we obtain the convergence of left-invariant metrics to a bi-invariant metric under the Ricci flow.

A Lie theoretical construction of a Landau–Ginzburg model without projective mirrors

We describe the Fukaya–Seidel category of a Landau–Ginzburg model

Invariant almost complex geometry on flag manifolds: geometric formality and Chern numbers

\mathrm {LG}(2)

On the stability of harmonic maps under the homogeneous Ricci flow

LG(2) for the semisimple adjoint orbit of

Symplectic Lefschetz fibrations on adjoint orbits

\mathfrak {sl}(2, {\mathbb {C}})