Eigenvalues of the Thurston Operator

Name: Eigenvalues of the Thurston Operator
Start: 2022-03-31T16:00:00-04:00
End: 2022-03-31T18:00:00-04:00
Location: Science Center 232

SEMINARS: ALGEBRAIC DYNAMICS

When: March 31, 2022

4:00 pm - 6:00 pm

Where: Science Center 232

Speaker: Rafael Saavedra - Harvard University

I will first explain the significance of Thurston’s pushforward operator for studying postcritically finite rational maps. I will then present some results due to Buff-Epstein-Koch which relate the eigenvalues of this operator to the multipliers of a rational map and also describe the set of eigenvalues of all unicritical polynomials of a given degree.