Geometria

Stability conditions and the Painlevé equations

Por Tom Sutherland (Grupo de Física Matemática).

Abstract: I will give an explicit description of the space of stability conditions of a set of Calabi-Yau-3 triangulated categories labelled by the Painlevé equations. We will see how the Painlevé equations appear in a Riemann-Hilbert problem motivated by the enumerative geometry of Calabi-Yau-3 categories whose solution is related to the study of the monodromy of opers.

Deformation theory of symplectic and orthogonal sheaves

Por Emílio Franco (IST).

Abstract: While it is well known that the moduli space of G-bundles over a smooth projective curve is compact, it is not the case for an arbitrary base variety. This motivated the definition of G-sheaves by Gomez and Sols who proved that their moduli space is a compactification of the moduli space of G-bundles. In this talk I will study the deformation and obstruction theory of these objects when G is either the symplectic or the orthogonal group.

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