BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Ommolbanin Behzad / Eduardo Vital (University of Isfahan\, Iran / IMPA\, Brazil) DTSTART:20210929T183000Z DTEND:20210929T200000Z DTSTAMP:20260423T021707Z UID:BRAG/59 DESCRIPTION:Title: Ex terior powers\, Polynomial rings and Representation of Lie Algebras / Dege nerations of linear series to curves with three components\, using quiver representations\nby Ommolbanin Behzad / Eduardo Vital (University of I sfahan\, Iran / IMPA\, Brazil) as part of Brazilian algebraic geometry sem inar\n\n\nAbstract\nYoung BRAG with two short presentations:\n\nSpeaker 1: Ommolbanin Behzad (University of Isfahan\, Iran)\n\nTitle: Exterior power s\, Polynomial rings and Representation of Lie Algebras\n\nAbstract: I wil l report on some recent work of myself\, A. Contiero\, D.\nMartins\, R. Vi dal Martins about representing lie algebras of vector space\nendomorphisms on exterior algebras\, seeing it as the finite type case of the\ncelebrat ed DJKM bosonic vertex operator representation of gl∞(Q).\n\n\n-- xx -- xx --\n\n\nSpeaker 2: Eduardo Vital (IMPA\, Brazil)\n\nTitle: Degeneration s of linear series to curves with three components\, using quiver represen tations\n\nAbstract: We explore the existence of simple bases for certain special quiver representations arising from degenerations of linear series on nodal curves. The existence\nof a simple basis implies that the repres entation decomposes into representations\nof dimension one and simplifies the calculus of the Hilbert polynomial of the\nquiver Grassmannian associa ted to the representation. For these quiver representations\, we character ise the existence of a simple basis with a local condition.\nAnd to a noda l curve with three components we show that its linked projective\nspace is Cohen-Macaulay\, reduced\, and has pure dimension.\nThis is a joint work in progress with Eduardo Esteves and Renan Santos.\n LOCATION:https://researchseminars.org/talk/BRAG/59/ END:VEVENT END:VCALENDAR