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Slices of Thurston’s Master Teapot

INFORMAL GEOMETRY AND DYNAMICS

June 3, 2020      4:00 pm
Speaker: Kathryn Lindsey - Boston College

Thurston's Master Teapot is the closure of the set of all points $(z,\lambda) \in \mathbb{C} \times \mathbb{R}$ such that $\lambda$ is the growth rate of a critically periodic unimodal self-map of...
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Coarse density of subsets of moduli space

INFORMAL GEOMETRY AND DYNAMICS

May 6, 2020      4:00 pm
Speaker: Benjamin Dozier - Stony Brook University

I will discuss coarse geometric properties of algebraic subvarieties of the moduli space of Riemann surfaces.  In joint work with Jenya Sapir, we prove that such a subvariety is coarsely...
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Pseudo-Anosov maps and toral automorphisms

INFORMAL GEOMETRY AND DYNAMICS

April 22, 2020      4:00 pm
Speaker: Rick Kenyon - Yale University

We give a construction of a pseudo-Anosov map of a surface starting from (and almost isomorphic to) a hyperbolic automorphism of an n-torus. The construction arises from a peano curve...
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Framed mapping class groups and strata of abelian differentials

INFORMAL GEOMETRY AND DYNAMICS

April 15, 2020      4:00 pm
Speaker: Nick Salter - Columbia University

via Zoom Video Conferencing: https://harvard.zoom.us/j/972495373 Strata of abelian differentials have long been of interest for their dynamical and algebro-geometric properties, but relatively little is understood about their topology. I will describe a...
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Effective density for values of generic quadratic forms

INFORMAL GEOMETRY AND DYNAMICS

April 8, 2020      4:00 pm
Speaker: Dubi Kelmer - Boston College

via Zoom Video Conferencing: https://harvard.zoom.us/j/972495373 The Oppenheim Conjecture, proved by Margulis, states that any irrational quadratic form, has values (at integer coordinates) that are dense on the real line. However,...
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Heights

INFORMAL GEOMETRY AND DYNAMICS

April 1, 2020      4:00 pm
Speaker: Curtis McMullen - Harvard University

via Zoom Video Conferencing:  https://harvard.zoom.us/j/972495373 We will describe how the problem of finding periodic trajectories in a regular pentagon can be solved using a new height on P^1 coming from...
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