Matemática

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.

Axiomatization of the Laurent series field over the algebraic closure of the p-element field

Por Gonenc Onay.

Abstract: This is a longstanding problem. We will expose a complete axiom system, which is also model complete and satisfied by F_p^{alg}((t)). A proof will be sketched. This work is joint with Françoise Delon (Paris) and Arno Fehm (Dresden) and should be considered as in progress.

A two-phase two fluxes degenerate Cahn-Hilliard model as constrained Wasserstein gradient flow

Por Clément Cancès (Inria Lille - Nord Europe).

Abstract: We present an original model for immiscible two-phase mixtures. This model can be interpreted as the generalised gradient flow of the same energy as for the classical degenerate Canh-Hilliard model, but for a different geometry. Our model is shown to dissipate faster. Existence of weak solutions is established based on the convergence of a JKO semi discretization (joint work with Flore Nabet and Daniel Matthes).

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