Algebraic Geometry Seminar

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Gonality and the strong uniform boundedness conjecture for periodic points

Speaker: Bjorn Poonen, MIT

Location: Warren Weaver Hall 317

Date: Tuesday, September 19, 2017, 3:30 p.m.

Synopsis:

The function field case of the strong uniform boundedness conjecture
for torsion points on elliptic curves reduces to showing that
classical modular curves have gonality tending to infinity.
We prove an analogue for periodic points of polynomials under iteration
by studying the geometry of analogous curves called dynatomic curves.
This is joint work with John R. Doyle.