Sesquicurves from quiver representations

12.10.2026 14:15 – 16:00

Sesquicurves are class of singular algebraic curves which have recently been observed to play an important role in quantitative symplectic geometry. In particular, for a given complex projective surface X, it is expected that the sesquicurves in X completely determined its so-called stabilized ellipsoid embedding function. While a classification of sesquicurves in the complex projective plane is now available, the situation is much complicated for any other target space, even something as simple as the first Hirzebruch surface. In this talk, I will discuss work in preparation (joint with D. McDuff) which should give the full classification of sesquicurves in various rational surfaces (including the first Hirzebruch surface). Perhaps surprisingly, techniques from quiver representation theory seem to play an essential role.

Lieu

Bâtiment: Conseil Général 7-9

Room 01-15, Séminaire Geneva-Neuchâtel Symplectic Geometry Seminar (GeNeSys)

entrée libre