# Mathematical Sciences Research Institute

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1. # AGRS Learning Seminar Series: Liouville CFT, Quantum Zipper and Mating of Trees Pt I

Location: MSRI: Simons Auditorium, Online/Virtual
Speakers: Xin Sun (University of Pennsylvania)

To participate in this seminar, please register HERE.

Updated on May 12, 2022 01:37 PM PDT
2. # COMD Stony Brook + MSRI Seminar Series: Snowballs, Quasispheres, and Rational Maps

Location: MSRI: Online/Virtual, Simons Auditorium
Speakers: Daniel Meyer (University of Liverpool)

To participate in this seminar, please register HERE.

A snowball is a self-similar surface that is obtained in a fashion analogous to the snowflake curve. The purpose of this talk is to show that these spaces may serve as deterministic toy models for the Brownian map. This is a random metric space that appears as the scaling limit of triangulations of the $2$-sphere. The self-similarity of a snowball may be represented by a rational map. Snowballs are quasispheres, i.e., quasisymmetrically equivalent to the standard $2$-sphere. This is closely related to the visual metric associated to the rational map being quasisymmetrically equivalent to the spherical metric on the Riemann sphere.

Updated on May 13, 2022 09:58 AM PDT
3. # COMD Learning Seminar Series: Polynomial Dynamics in Per_n(0)

Location: MSRI: Simons Auditorium, Online/Virtual
Speakers: Caroline Davis (Indiana University)

To participate in this seminar, please register HERE.

Just as Per_1 houses the illustrious Mandelbrot set, so too does Per_n a combinatorial fractal object. In yet another talk about everybody's favorite variety, we’ll see how polynomials with super-attracting n-cycles naturally give rise to rational dynamics, by ways such as matings and captures. With these concepts we will discuss in detail the combinatorics for n<=5 and indicate a strategy to prove Per_n is connected.

Updated on May 12, 2022 08:51 AM PDT