# Program

Holomorphic dynamics is a vibrant field of mathematics that has seen profound progress over the past 40 years. It has numerous interconnections to other fields of mathematics and beyond.
Our semester will focus on three selected classes of dynamical systems: rational maps (postcritically finite and beyond); transcendental maps; and maps in several complex variables. We will put particular emphasis on the interactions between each these, and on connections with adjacent areas of mathematics.
Bibliography

**Keywords and Mathematics Subject Classification (MSC)**

**Tags/Keywords**

Holomorphic dynamics

iteration

Fatou set

Julia set

Mandelbrot set

renormalization

parameter spaces

postcritically finite maps

iterated monodromy groups

Thurston theory

arithmetic dynamics

transcendental dynamics

quasiconformal folding

Several Complex Variables

wandering domains

**Primary Mathematics Subject Classification**

30Dxx - Entire and meromorphic functions of one complex variable, and related topics

37Fxx - Dynamical systems over complex numbers [See also 30D05, 32H50]

37Gxx - Local and nonlocal bifurcation theory for dynamical systems [See also 34C23, 34K18]

37Hxx - Random dynamical systems [See also 15B52, 34Fxx, 47B80, 70L05, 82C05, 93Exx]

37Pxx - Arithmetic and non-Archimedean dynamical systems [See also 11S82, 37A44]

**Secondary Mathematics Subject Classification**No Secondary AMS MSC

February 02, 2022 - February 04, 2022 | [HYBRID WORKSHOP] Connections Workshop: Complex Dynamics - from special families to natural generalizations in one and several variables |

February 08, 2022 - February 17, 2022 | [HYBRID WORKSHOP] Introductory Workshop: Complex Dynamics - from special families to natural generalizations in one and several variables |

May 02, 2022 - May 06, 2022 | Adventurous Berkeley Complex Dynamics |