BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Frédéric Patras (Université Côte d'Azur) DTSTART:20250411T130000Z DTEND:20250411T140000Z DTSTAMP:20260423T021727Z UID:ACPMS/51 DESCRIPTION:Title: M atrix symmetric and quasi-symmetric functions\nby Frédéric Patras (U niversité Côte d'Azur) as part of Algebraic and Combinatorial Perspectiv es in the Mathematical Sciences\n\n\nAbstract\nA fundamental result by L. Solomon states that formulas for the computation of tensor products of sym metric group representations can be lifted to the corresponding (Solomon ’s) descent algebra\, a subalgebra of the group algebra with a very rich structure. Motivated by the structure of the product formula in these alg ebras and by other results and ideas in the field\, we introduce and inves tigate a two dimensional analog based on packed integer matrices that inhe rits most of their fundamental properties. One of the structures we introd uce identifies with a bialgebra recently introduced by J. Diehl and L. Sch mitz to define a two dimensional generalisation of Chen’s iterated integ rals signatures. J.w. with L. Foissy and C. Malvenuto.\n LOCATION:https://researchseminars.org/talk/ACPMS/51/ END:VEVENT END:VCALENDAR