A próxima edição do ColGA, Colóquio de Geometria e Aritmética, acontecerá no IM – UFRJ, nesta sexta feira, dia 27 de outubro a partir das 10:30, na sala C116.
|10:30-11:30||Vladimir Mitankin, Integral points on generalised affine Châtelet surfaces.
Resumo. A generalised affine Châtelet surface over the integers is defined by y^2 – az^2 = P(t), where a is a non-zero integer and P(t) is a separable polynomial with integral coefficients. Building up on an earlier work of Colliot-Thélène and Sansuc which suggests the use of Schinzel’s hypothesis we show that the integral Brauer-Manin obstruction is the only obstruction to the integral Hasse principle for a family of such surfaces. We do so by injecting tools from algebraic number theory. Moreover, when there is no integral Brauer–Manin obstruction we show that the set of integral points on any surface in the family satisfies a strong approximation property in t away from infinity.
|12:00-13:00||Javier Fernandez de Bobadilla, Reflexive modules on gorenstein surface singularities.
Resumo. We generalize clasical constructions of Artin, Verdier, Esnault, Wunram, and Khan concerning Mckay correspondence to arbitrary Gorenstein surface singularities. We study also the relevant deformation theory.
This is joint work with Agustín Romano.
Mais informações em www.impa.br/~colga