Algebra Seminar: Cross-ratios, Pfaffians, and Lagrangian polygons | Department of Mathematics

Algebra Seminar: Cross-ratios, Pfaffians, and Lagrangian polygons

Event Information
Event Location: 
GAB 461
Event Date: 
Friday, November 3, 2017 - 1:00pm

The classical cross-ratio is the unique projective invariant of four points on the line. Consider polygons in $(2N-1)$-dimensional projective symplectic space, satisfying the condition that every $N$ consecutive vertices span a Lagrangian subspace of the parent $2N$-dimensional symplectic space. In the critical case of $(2N+2)$-gons, we will describe a complete set of symplectic invariants of these polygons. We will use only elementary linear algebra; no prior knowledge of symplectic or projective geometry will be assumed.

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