Jørgen E  Andersen - Geometric Recursion with a View Towards Resurgence
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 2019-06-15

We  shall  review  the  geometric recursion  and  its  relation  to  topological recursion.  In  particular,  we  shall  consider  the  target  theory  of  continuous  functions  on Teichmüller  spaces  and  we  shall  exhibit  a  number  of  classes  of  mapping  class  group invariant  functions,  which  satisfies  the  geometric  recursion.  Many  of  these  classes  of functions  are  integrable  over  moduli  spaces  and  we  prove  that  there  averages  over moduli  spaces  satisfies  topological  recursion.  The  talk  will  end  with  a  discussion  of possible  resurgence  perspectives.The  construction  of  geometric  recursion  and  the results relating it to topological recursion is joint work with Borot and Orantin.