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Current Colloquia & Seminars

  1. 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
  2. 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