Jeudi 2 Juin

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Jeudi 2 Juin
Heure: 10:15 - 12:00
Lieu: Salle B405, bâtiment B, LAGA, Institut Galilée, Université Paris 13
Résumé: Topologie algébrique - Vershik-Okounov and Gelfand-Tsestlin and Schur-Weyl -
Description: Pablo ZadunaiskyIn the first part of this talk I will present Vershik and Okounkov’s approach to the representation theory of the symmetric groups. Their approach enters on a family of commuting operators in the group algebra called Jucys-Murphy elements. These generate a maximal commutative algebra inside the group algebra, and their action on simple representations naturally produces the various combinatorial objects usually appearing in the representation theory of S_d. Their approach is inspired in the Gelfand-Tsetlin construction of representations of the Lie algebra gl_n, which I will also briefly discuss. Putting both approaches together gives a nice perspective on Schur-Weyl duality in type A.
Heure: 17:00 - 18:00
Lieu: (en visioconférence)
Résumé: Discussions mathématiques franco-marocaines - Oscillatory dynamics for some evolution equations using Favard’s theory in uniformly convex Banach spaces -
Description: Khalil EZZINBI
In this work, we use an approach due to Favard (Acta Math 51:31–81, 1928) to study the some evolution equation whose linear part generates a C 0 -group satisfying the Favard is a condition stronger than Favard’s condition, we prove the equivalence between