BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Christophe Breuil (CNRS - Orsay) DTSTART:20221130T080000Z DTEND:20221130T090000Z DTSTAMP:20260423T024020Z UID:POINTS/45 DESCRIPTION:Title: Multivariable (phi\, Gamma)-modules and modular representations of Galois and GL2\nby Christophe Breuil (CNRS - Orsay) as part of POINTS - Pekin g Online International Number Theory Seminar\n\n\nAbstract\nLet \\(p\\) be a prime number\, \\(K\\) a finite unramified extension of \\(\\mathbf{Q}_ p\\)\, and \\(\\pi\\) a smooth representation of \\(\\mathrm{GL}_2(K)\\) o n some Hecke eigenspace in the \\(H^1\\) mod \\(p\\) of a Shimura curve. O ne can associate to \\(\\pi\\) a multivariable \\( (\\phi\, O_K^*)\\)-modu le \\(D_A(\\pi) \\). I will state a conjecture which describes \\( D_A(\\p i) \\) in terms of the underlying 2-dimensional mod \\(p\\) representation of \\(\\mathrm{Gal}(\\bar{K}/K)\\). When the latter is semi-simple (suffi ciently generic)\, I will sketch a proof of this conjecture. This is joint work with F. Herzig\, Y. Hu\, S. Morra and B. Schraen.\n\nZoom number: 74 3 736 2326\n\nZoom password: 013049\n LOCATION:https://researchseminars.org/talk/POINTS/45/ END:VEVENT END:VCALENDAR