What simple curves on surfaces know

What simple curves on surfaces know

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Peter (Jun Ho) Whang, Princeton University
Fine Hall 110

 Simple closed curves on Riemann surfaces carry an interesting structure. An example is a novel symmetry satisfied by generating series for collections of such curves. This symmetry reflects the global geometry of certain moduli spaces (containing Teichmuller spaces), whose Diophantine study reveals new insight on mapping class groups. In this talk, we give an elementary discussion of some of these ideas.