Online Seminar on Algebraic and Complex Dynamics
Description
Welcome to the Online Seminar on Algebraic and Complex Dynamics.
This seminar centered loosely around algebraic dynamics, complex dynamics, and related topics.
We meet weekly for a 90-minute talk, with the first 30 minutes aiming towards non-experts and graduate students.
After the talk we will have 30 minutes of informal discussion.
The seminar usually takes place on Tuesdays, either at 9am in Beijing/Taipei (= UTC 1am) or at 3pm in Beijing/Taipei (= UTC 7am),
depending on where the speakers are located. The talks will be hosted on Zoom. All are welcome to tune in.
Zoom Meeting ID: 897 9522 8294
Passcode: x.xxxxx (first decimal digits of the largest real root of Lehmer's polynomial)
Joining the mailing list: Please send an email to dynamics.sem [at] gmail.com
Upcoming Talk
May 23 at 9am in Beijing/Taipei
Yusheng Luo
(Stony Brook University)
Title: Boundedness problems in conformal dynamics
Abstract: In 1980s, Thurston’s formulated the geometrization conjecture for 3-manifolds, and proved the hyperbolization theorem. The keys to Thurston’s proof are two bounded results for certain deformation spaces of Kleinian groups. In early 1990s, motivated by Thurston’s boundedness theorem and the Sullivan dictionary, McMullen conjectured that certain hyperbolic components of rational maps are bounded.
In this talk, I will start with a historical discussion on a general strategy of the proof of Thurston’s boundedness theorem. I will then explain how a similar strategy could work for rational maps, and discuss some recent breakthrough towards McMullen's boundedness conjecture.
Spring 2023 Schedule
Link to (some of) the recordings and notes of past talks.
March 14 (at 3pm): Genki Ouchi (Nagoya University), Stability conditions on K3 surfaces and mass of spherical objects
March 21 (at 3pm): Lucas Kaufmann (University of Orléans), Dynamics on projective spaces: maps, correspondences and group actions
March 28 (at 3pm): Duc Viet Vu (University of Cologne), Intersection of holomorphic curves with generic hypersurfaces
April 11 (at 3pm): Fabian Haiden (Centre for Quantum Mathematics, University of Southern Denmark), Motivic DT invariants of quadratic differentials
April 18 (at 3pm): Julie Tzu-Yueh Wang (Academia Sinica), Some Developments on Filtration Methods in Diophantine Geometry and Nevanlinna Theory
April 25 (at 3pm): Shunsuke Kano (Tohoku University), Categorical dynamical systems arising from sign-stable mutation loops
May 23 (at 9am): Yusheng Luo (Stony Brook University), Boundedness problems in conformal dynamics
Fall 2022 Schedule
Link to (some of) the recordings and notes of past talks.
October 11 (at 3pm): Charles Favre (École Polytechnique), b-divisors and dynamical degrees
October 18 (at 3pm): Junho Peter Whang (Seoul National University), Periodic points for systems of varieties
October 25 (at 9am): Salim Tayou (Harvard University), Equidistribution of Hodge loci
November 1 (at 9am): Fei Hu (University of Oslo), An upper bound for polynomial log-volume growth of automorphisms of zero entropy
November 8 (at 9am): Seung uk Jang (University of Chicago), Kummer Rigidity for Irreducible Holomorphic Symplectic Manifolds
November 15 (at 3pm): Hanwool Bae (Seoul National University), A comparison of categorical and topological entropies on Weinstein manifolds
November 22 (at 9am): Philip Engel (University of Georgia), Integral-affine structures and degenerations of K3 surfaces
November 29 (at 3pm): Junyi Xie (Peking University), Topological entropy for non-archimedean dynamics
December 6 (at 9am): Simion Filip (University of Chicago), Anosov representations, Hodge theory, and Lyapunov exponents
December 13 (at 9am): Philip Engel (University of Georgia), Integral-affine structures and degenerations of K3 surfaces
December 20 (at 3pm): Keiji Oguiso (University of Tokyo), Calabi-Yau threefolds with c_2-contractions-revisited
Organizers:
Yu-Wei Fan,
Hsueh-Yung Lin