Conformal maps and critical points of Eisenstein series
The location of the critical points of the Eisenstein series has recently gained some attention, in particular through the work of Zhijie Chen and Chang-Shou Lin. It is known that location of these critical points is the same as the location of the poles of some associated polymorphic functions. These polymorphic functions admit an explicit description as conformal maps between certain circular arc triangles. Based on this one can give a qualitative description of the location of the critical points of the lowest-weight Eisenstein series E2, E4, and E6. In my talk I will give an introduction to this circle of ideas including classical themes about conformal mappings and the theory of modular forms.
Event Timeslots (1)
Tuesday
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