My information may not be the most up to date, but I'll write a few things about Jean-Yves Welschinger. He works in real algebraic geometry and symplectic geometry; he might be best known for the Welschinger invariants which are analogues of genus zero Gromov-Witten invariants for real 4-folds. The invariant counts real rational pseudo-holomorphic curves in a fixed homology class through a generic point configuration, with an appropriate signed weight (based on the number of real isolated nodes). The value is independent of the choice of a generic real almost complex structure, and gives nontrivial lower bounds for curve counting.
|
1 | [made Community Wiki] | ||
|
|
||||
