Symplectic cross-ratios and moduli spaces of Lagrangian configurations
For more information about this meeting, contact Ping Xu.
Speaker: Valentin Ovsienko, Univeristy of Reims
Abstract: We consider moduli spaces of configurations of N points in a 2n-dimensional symplectic vector space, such that every n consecutive points generate a Lagrangian subspace. This is a discrete version of the notion of Legendgian knot and an interesting generalization of the classical space of configurations of points in the projective line. The first non-trivial case is N = 2n+2, we show that the n+1 symplectic cross-ratios of these N points satisfy one remarkable relation related to continued fractions, friezes of Coxeter other notions of combinatorics. This is a joint work with Charles Conley.
Room Reservation Information
Room Number: 114 McAllister
Time: 1:00pm - 2:20pm