Saturday May 28 and Sunday May 29
- Minicourse 1:
Parabolic blowups in complex dynamics and Kleinian groups,
John H. Hubbard
(Cornell University).
Lecture 1: slides, video
Lecture 2: slides, video. - Minicourse 2:
Thurston's characterization theorem for branched covers,
Nikita Selinger
(University of Alabama at Birmingham).
slides from both lectures.
Video: Lecture 1, Lecture 2 - Minicourse 3:
Quasiconformal surgery and applications to transcendental dynamics,
Núria Fagella
(Universitat de Barcelona).
slides from both lectures
Video: Lecture 1, Lecture 2 - Minicourse 4:
Measuring the asymptotic distribution of holomorphic foliations,
Xavier Gómez-Mont
(Centro de Investigación en Matemáticas).
Lecture 1: slides, video Lecture 2: slides, video
Supplemental papers: Fatou and Julia components of transversly holomorphic foliations, and Foliated hyperbolicity and foliations with hyperbolic leaves.
Monday May 30
- Pacman Renormalization and scaling of the Mandelbrot set at Siegel
points,
Misha Lyubich
(Stony Brook University).
slides, video. - On cobordisms of rational functions,
Carlos Cabrera
(Instituto de Matemáticas UNAM, Unidad Cuernavaca).
slides video(no audio!). - Curvature and résidu itératif,
John Milnor
(Stony Brook University).
slides, video. - Rotation sets and polynomial dynamics,
Saeed Zakeri
(CUNY Queens College & Graduate Center).
slides, video.
Tuesday May 31
- Perturbations of maps tangent to
z → z ,
Xavier Buff
(Institut de Mathématiques de Toulouse).
slides, video. - Dynamics in a quartic polynomial family,
Gamaliel Blé
(Universidad Juárez Autónoma de Tabasco).
slides, video (no audio!). - Surfaces in the space of surfaces,
Curtis McMullen
(Harvard University).
slides, video(no audio!). - Cubic polynomials with one periodic critical point: irreducibility,
Jan Kiwi
(Pontificia Universidad Católica de Chile).
slides, video. - A disconnected deformation space of rational maps,
Sarah Koch (University of Michigan)
and Eriko Hironaka (American Mathematical Society).
slides: Koch, Hironaka; video.
Wednesday June 1
- k-characteristic Morse Dynamics from the h-hypersurface
viewpoint,
Rodrigo Pérez, Sarah Koch, and
John H. Hubbard.
video.
Thursday June 2
- Tropical Complex Dynamics,
Mitsuhiro Shishikura
(Kyoto University).
slides, video. - Modular groups over the quaternions and their corresponding four
dimensional hyperbolic orbifolds and manifolds,
Alberto Verjovsky
(Instituto de Matemáticas UNAM, Unidad Cuernavaca).
slides, video. - Satellite copies of the Mandelbrot set,
Luna Lomanaco
(Universidade de São Paulo).
slides, video. - Renormalization and rotational attractors of two-dimensional dissipative
dynamical systems,
Michael Yampolsky
(University of Toronto).
slides, video.
Friday June 3
- Stretching rays for cubic polynomials,
Pascale Roesch
(Aix-Marseille Université).
slides, video. - Infinitesimal computations in arithmetic dynamics,
Adam Epstein
(Warwick University).
slides, video. - The secret combinatorial garden of Siegel,
Rodrigo Pérez
(Indiana University-Purdue University Indianapolis).
slides, video. - No smooth Julia sets for Hénon maps,
Eric Bedford
(Stony Brook University).
slides, video.