If you are looking for Planetarium events, please visit their events calendar .

Loading Events

« All Events

  • This event has passed.

Math Colloquium: Baby Mandelbrot Sets for Maximally Generalized McMullen Maps

October 11, 2024 @ 2:00 pm - 3:30 pm

Free

Presented by Dr. Daniel Stoertz, Visiting Assistant Professor of Mathematics at St. Olaf College.

In Complex Dynamics, we study the iteration of holomorphic or meromorphic functions on the complex plane or the Riemann sphere. Of particular interest is the behavior of the critical orbits of function families with one or more parameters. The simplest of such families, z^2 +c, is well-known to define the famous Mandelbrot set fractal as the set of c-values for which the unique critical orbit is bounded. In this talk we will examine the function family R(z) = z^n +b +a/(z^d), and we will explore old and new results establishing the location of baby Mandelbrot sets in parameter space for increasingly general versions of this family. In the most general case, which we call maximally generalized McMullen maps, this family has multiple independent critical orbits, and the dynamics in this case are not yet well understood.


Share:

Details

Date:
October 11, 2024
Time:
2:00 pm - 3:30 pm
Cost:
Free
Event Categories:
,

Venue

UWM EMS Building, Room E495
3200 N. Cramer Avenue
Milwaukee, WI 53211 United States
+ Google Map

Organizer

Mathematical Sciences Department
Phone
414-229-4836
Email
math-staff@uwm.edu
View Organizer Website

UWM Land Acknowledgement: We acknowledge in Milwaukee that we are on traditional Potawatomi, Ho-Chunk and Menominee homeland along the southwest shores of Michigami, North America’s largest system of freshwater lakes, where the Milwaukee, Menominee and Kinnickinnic rivers meet and the people of Wisconsin’s sovereign Anishinaabe, Ho-Chunk, Menominee, Oneida and Mohican nations remain present.   |   To learn more, visit the Electa Quinney Institute website.