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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...

### In the moduli space of Abelian differentials, big invariant subvarieties come from topology

INFORMAL GEOMETRY AND DYNAMICS

May 13, 2020      4:00 pm
Speaker: Paul Apisa - Yale University

It is a beautiful fact that any holomorphic one-form on a genus g Riemann surface can be presented as a collection of polygons in the plane with sides identified by...

### 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...

### Large genus bounds for the distribution of triangulated surfaces in moduli space

INFORMAL GEOMETRY AND DYNAMICS

April 29, 2020      4:00 pm
Speaker: Sahana Vasudevan - MIT

Triangulated surfaces are compact (hyperbolic) Riemann surfaces that admit a conformal triangulation by equilateral triangles. Brooks and Makover started the study of the geometry of random large genus triangulated surfaces. Mirzakhani...

### 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...

### 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...

### 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,...

### 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...