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Math-Physics Joint Seminar

Tuesday, April 18, 2017 - 4:30pm

Umut Varolgunes



University of Pennsylvania


Abstract: Inside C^2 with the hyperkahler rotated symplectic structure Re(dxdy), there are singular Lagrangians given by the solution set of the equation x^m=y^n. These can be capped off at infinity to obtain symplectic neighborhoods of closed Lagrangians which are singular at one point. In arxiv:1612.00354,  I constructed conjecturally non-trivial (germs of) symplectomorphisms of these, and in the case of (m,n)=(2,2), i.e. the Weinstein neighborhood of a nodal Lagrangian sphere, proved that it has infinite order. I plan to discuss that work, and talk about recent progress in the cusp case (m,n)=(3,2).