Dynamical Systems Seminar

Title: Dynamically canonical measures for birational transformations defined over number fields
Speaker: Paul Reschke
Speaker Info: University of Michigan
Brief Description:
Special Note:

Given a birational transformation $f$ of $\mathbb{P}^2$, one can generally (and in all known examples) construct a dynamically natural measure $\mu_f$ on some blow-up of $\mathbb{P}^2$. The construction comes from various results by Bedford, Diller, Dujardin, Favre, and Guedj. However, Buff showed recently that hypotheses on $f$ which guarantee nice properties of $\mu_f$ can fail to hold. We will explore this situation by looking at a concrete example due to Favre of a family of birational transformations. We will then discuss new results reflecting current progress towards showing that nice properties of $\mu_f$ are always guaranteed when $f$ is defined over a number field. This work is ongoing and joint with Mattias Jonsson.
Date: Tuesday, January 20, 2015
Time: 4:00pm
Where: Lunt 104
Contact Person: Prof. Laura DeMarco
Contact email: demarco@math.northwestern.edu
Contact Phone:
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