• 2018-02-20

    Stéphanie Schanck, Véronique Bazier-Matte, Nadia Lafrenière, Mélodie Lapointe, Pauline Hubert et Élise Vandomme participant au film « Faces of Women in Mathematics »

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    Pavillon Président-Kennedy, UQAM

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    ARTA III : Avancées en théorie des représentations des algèbres (2014)

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    Mathématiques à Marseille avec Mark Haiman, Cédrik et François Bergeron

  • RS, Adriano Garsia
La Jolla, CA

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    Maths à la plage, Richard Stanley et Adriano Garsia (2003)

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    Mathématiques au bar à Banff avec Adriano Garsia et Nantel Bergeron

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    Mathématiques à la montagne avec Francois et Nantel Bergeron, Jennifer Morse et Adriano Garsia

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    Christophe Reutenauer et Toni Machi, Bibbiena 2008

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    Xavier Viennot, Nantel Bergeron, Christophe Reutenauer, près de Alghero 1988

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    Les membres du LACIM au début des années 90

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    Denis Thérien, Marcel-Paul Schützenberger, Oberwolfach 1986

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    Soutenance de thèse de Jérôme Fortier

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    Gilbert Labelle, Christophe Reutenauer, chez Pierre Leroux, Longueuil, début des années 2000

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    Christian Stump, Nicolas Thiéry, Franco Saliola, Florent Hivert

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    Richard Stanley au séminaire du LACIM

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    Journées Sage au LACIM

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    Colloque sur les groupes de Coxeter

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    Sébastien Labbé, Marco Robado, Srecko Brlek, Louis-François Préville-Ratelle, Alejandro Morales, Mathieu Guay-Paquet, Vivien Ripoll

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    Journées Sage

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    Séminaire du LACIM

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    La choucroute du patron

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    La choucroute du patron


The Shapiro-Shapiro ConjectureFriday, 14 December 2018, 13:30

Kevin Purbhoo (Waterloo)

Abstract: In the 1880's, Schubert solved a problem about enumerating subspaces of $\mathbb{C}^n$ that have non-trivial intersections with other subspaces, beginning the study of what is now known as Schubert calculus. Nowadays, Schubert's problem is usually reinterpreted as a calculation in the cohomology ring of the Grassmannian, and this perspective has been vastly generalized. However, if we change $\mathbb{C}^n$ to $\mathbb{R}^n$, the cohomology perspective no longer works and the situation is less well understood. In 1993, Boris and Michael Shapiro formulated a remarkable conjecture about real solutions to Schubert problems. It was proved in 2005 by Mukhin, Tarasov and Varchenko, using high powered machinery from quantum integrable systems. Since then, many applications and generalizations have been found or conjectured. In this talk, I will tell the story of the Shapiro-Shapiro conjecture, and then tell you about a new theorem (joint work with Jake Levinson), a not-so-obvious generalization. Our result is independent of Mukhin-Tarasov-Varchenko, implies the conjecture, and naturally lends itself to a much more intuitive proof.

TBAFriday, 25 January 2019, 13:30

Mélodie Lapointe (UQAM)

Abstract: TBA