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X-WR-CALDESC:Évènements pour Laboratoire de Mathématiques de Versailles
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DTSTART;TZID=Europe/Paris:20260505T133000
DTEND;TZID=Europe/Paris:20260505T140000
DTSTAMP:20260505T032318
CREATED:20260430T161305Z
LAST-MODIFIED:20260504T084718Z
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SUMMARY:AG : Lucas Pannier (LMV) : An effective proof of the p-curvature conjecture for first-order differential equations with rational coefficients
DESCRIPTION:Abstract: In 1974\, Honda proved the p-curvature conjecture for order one differential equations with rational coefficients over a number field. He demonstrated that in this setting\, the p-curvature conjecture was equivalent to a theorem due to Kronecker\, providing a local-global criterion for the splitting of polynomials over the rational numbers. In 1985 the Chudnovskys published another proof of Honda’s theorem (and of Kronecker’s theorem) by means of Padé approximation and elementary number theory\, thus paving the way to an effective version of these results. Here\, by « effective » we mean that we wish to obtain an explicit finite bound on the number of p-curvatures to be computed in order to decide the algebraicity of the solution of the differential equation. \nIn this talk\, I will explain how to obtain such a bound. \nThis is joint work with Florian Fürnsinn (University of Vienna).
URL:https://lmv.math.cnrs.fr/evenenement/ag-lucas-pannier-lmv-an-effective-proof-of-the-p-curvature-conjecture-for-first-order-differential-equations-with-rational-coefficients/
CATEGORIES:Séminaire AG
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DTSTAMP:20260505T032318
CREATED:20260430T161917Z
LAST-MODIFIED:20260504T084726Z
UID:15007-1777989600-1777991400@lmv.math.cnrs.fr
SUMMARY:AG : Davide Ricci (LMV) : The Mori cone of certain Hassett spaces
DESCRIPTION:Abstract: The talk will introduce the F-conjecture\, which states that the Mori cone of the moduli space of genus g stable curves ‾Mg\,n is generated by 1-dimensional strata. We will see that the question can be formulated on any Hassett space and has a positive answer when the universal family is a P1-bundle. In particular\, we review how these particular Hassett spaces are naturally isomorphic to certain GIT quotients (P1)n // PGL2\, and we characterize these spaces as the targets of the birational contractions of Bln-1Pn-3 with Q-factorial image.
URL:https://lmv.math.cnrs.fr/evenenement/ag-davide-ricci-lmv-the-mori-cone-of-certain-hassett-spaces/
CATEGORIES:Séminaire AG
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