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This lecture explores the characterization of inequivalent graphical representations of 3-connected frame matroids with a fixed element in their frame. Learn how frame matroids extend the class of graphic matroids and possess natural graphical representations. The speaker, James Davies (Gott Research Fellow at Trinity Hall, Cambridge), presents joint work with Jim Geelen and Cynthia RodrÃquez that leads to a polynomial time recognition algorithm for frame matroids with a distinguished frame element. Delve into this 53-minute presentation that bridges graph and matroid theory with geometry, delivered by a researcher who completed his PhD at the University of Waterloo and will be moving to the University of Leipzig as a Junior Research Group Leader.