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X-WR-CALDESC:Évènements pour Laboratoire de Mathématiques de Versailles
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DTSTART;TZID=Europe/Paris:20260203T133000
DTEND;TZID=Europe/Paris:20260203T143000
DTSTAMP:20260409T053002
CREATED:20260125T161030Z
LAST-MODIFIED:20260203T160622Z
UID:14741-1770125400-1770129000@lmv.math.cnrs.fr
SUMMARY:AG : Mikhail Zaitsev : Proof of the KKLS conjecture on the mean value of the gl-weight system (HSE\, IHES)
DESCRIPTION:In my talk\, I will introduce several sets of central elements in the universal enveloping algebra U(gl_N) and explain the relationships between them using average value of the gl-weight system as an example. As a consequence\, we obtain a proof of the M.Kazarian\, E.Krasilnikov\, S.Lando\, and M.Shapiro conjecture that the mean value of the gl-weight system is a tau function of the KP hierarchy.
URL:https://lmv.math.cnrs.fr/evenenement/mikhail-zaitsev-proof-of-the-kkls-conjecture-on-the-mean-value-of-the-gl-weight-system/
LOCATION:Bâtiment Fermat\, salle 4205
CATEGORIES:Séminaire AG
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DTSTART;TZID=Europe/Paris:20260210T133000
DTEND;TZID=Europe/Paris:20260210T143000
DTSTAMP:20260409T053002
CREATED:20260205T093532Z
LAST-MODIFIED:20260213T083519Z
UID:14774-1770730200-1770733800@lmv.math.cnrs.fr
SUMMARY:AG : Florian Fürnsinn (Université de Vienne) : Galois Groups of D-finite Series modulo Primes
DESCRIPTION:Abstract: A D-finite series is a power series over the rational numbers that satisfies a linear differential equation with polynomial coefficients. Reducing a D-finite series modulo a prime number one often obtains an algebraic power series in positive characteristic. For diagonals of multivariate rational functions this was observed by Furstenberg in 1967\, and for hypergeometric functions this can be deduced from results by Christol\, and was made precise in recent work by Vargas-Montoya. In these cases\, one can consider the Galois group of the reduction over the field of rational functions. \nIn this talk\, I will showcase many examples of D-finite series of different nature for which we are (almost) able to compute said Galois groups for almost all prime numbers for which they are defined. Then\, I will collect these observations to raise questions on the general behavior of these groups: Is there some uniformity of the Galois groups with respect to the prime number\, and does there exist an object in characteristic zero governing their behavior\, like the differential Galois group of the minimal equation for the series? Much like the Grothendieck p-curvature conjecture\, we are looking for a local-global principle\, but we are concerned with only a single solution of a differential equation\, instead of a full basis. \nThis talk is based on joint work with X. Caruso and D. Vargas-Montoya.
URL:https://lmv.math.cnrs.fr/evenenement/ag-florian-furnsinn-universite-de-vienne/
CATEGORIES:Séminaire AG
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DTSTART;TZID=Europe/Paris:20260217T133000
DTEND;TZID=Europe/Paris:20260217T150000
DTSTAMP:20260409T053002
CREATED:20260122T134356Z
LAST-MODIFIED:20260220T084240Z
UID:14729-1771335000-1771340400@lmv.math.cnrs.fr
SUMMARY:AG : Pierre-Guy Plamondon (LMV) : Représentations\, amas et espaces de configurations
DESCRIPTION:Résumé : Je vais expliquer comment les algèbres amassées\, puis la théorie des représentations\, peuvent servir pour réaliser certains espaces de configurations.  Je me concentrerai sur l’espace \(M_{0\,n}\) des configurations de n points distincts sur la droite projective\, qui est lié à la théorie des représentations d’un carquois de type Dynkin \(A_{n-3}\). Si le temps le permet\, je parlerai de résultats obtenus dans cette direction avec Arkani-Hamed\, Frost\, Salvatori et Thomas.
URL:https://lmv.math.cnrs.fr/evenenement/ag-pierre-guy-plamondon-lmv-2/
CATEGORIES:Séminaire AG
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