BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Daniel Holmes (IST\, Austria) DTSTART:20260304T140000Z DTEND:20260304T150000Z DTSTAMP:20260423T010637Z UID:GPL/49 DESCRIPTION:Title: Equ ivariant Gromov-Witten theory and GKM spaces\nby Daniel Holmes (IST\, Austria) as part of Geometry and Physics @ Lisbon\n\nLecture held in 6.2.3 3 (Seminar Room\, Math\, FCUL).\n\nAbstract\nAn important class of example s in algebraic and symplectic geometry is given by GKM spaces\, which are torus-equivariant spaces with finitely many fixed points and complex-one-d imensional orbits. This class includes smooth toric varieties\, homogeneou s spaces\, smooth Schubert varieties\, as well as many non-algebraic examp les like the twisted flag manifold of Eschenburg/Tolman/Woodward.\n\nAt th e intersection of geometry\, algebra\, and combinatorics lies a fruitful t wo-way interaction between Gromov-Witten theory and GKM theory established by equivariant localization. In one direction\, GKM theory provides a set ting where Gromov-Witten invariants become explicitly computable\, which w e have implemented in a software package (joint work with Giosuè Muratore ). In the other direction\, the axiomatic behavior of Gromov-Witten invari ants is strong enough to imply structural properties of GKM spaces. I will present recent results in both directions.\n LOCATION:https://researchseminars.org/talk/GPL/49/ END:VEVENT END:VCALENDAR