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Spring Semester 2025

Date / Time Speaker Title Location
26 February 2025
13:30-14:30 		Prof. Dr. Chris Judge
Indiana University
Details

Ergodic theory and dynamical systems seminar

Title Shrinking targets for affine self-diffeomorphisms of translation surfaces
Speaker, Affiliation Prof. Dr. Chris Judge, Indiana University
Date, Time 26 February 2025, 13:30-14:30
Location HG E 33.1
Abstract The affine self-diffeomorphism group of a translation surface can be rather large. For example, the affine diffeos of a 2-torus contain a lattice.  In the case of a torus $T$, Ghosh, Gorodnik, and Nevo proved that for any $\eta > 0$, for almost every $y \in T$ and for every $x \in T$, there exist infinitely many $\gamma \in SL_2(Z)$ so that $\| \gamma x- y \|\leq \|\gamma\|^{-1-\eta}$. We show that a similar result holds for translation surfaces with the lattice property. This is joint work with Josh Southerland.
Shrinking targets for affine self-diffeomorphisms of translation surfacesread_more
HG E 33.1
5 March 2025
13:30-14:30 		Dr. Marc Abboud
Université de Neuchâtel
Details

Ergodic theory and dynamical systems seminar

Title Unlikely intersections problem for automorphisms of Markov surfaces
Speaker, Affiliation Dr. Marc Abboud, Université de Neuchâtel
Date, Time 5 March 2025, 13:30-14:30
Location HG G 19.1
Abstract The family of Markov surfaces M_D is a family of cubic affine surfaces parametrised by the complex line (here D is the parameter) that is related to the character variety of the punctured torus. It has sparked a lot of work in algebraic geometry, algebraic differential equations and low-dimensional topology. The mapping class group of the punctured torus acts on the character variety and preserves this family. Its image is a finite index subgroup of the group of automorphisms of M_D for every parameter D. We show the following result: for certain algebraic parameters D if two automorphisms of M_D with positive entropy share a Zariski dense set of periodic points then they share a common iterate. The proof uses tools from arithmetic dynamics such as the arithmetic equidistribution theorem of Yuan and Zhang and tools from quasi-Fuchsian representation theory.
Unlikely intersections problem for automorphisms of Markov surfacesread_more
HG G 19.1
12 March 2025
13:30-14:30 		Dr. Mihajlo Cekic
Universität Zürich
Details

Ergodic theory and dynamical systems seminar

Title Quasi-Fuchsian flows and the coupled vortex equations
Speaker, Affiliation Dr. Mihajlo Cekic, Universität Zürich
Date, Time 12 March 2025, 13:30-14:30
Location HG G 19.1
Abstract In 1992, Ghys introduced a remarkable class of flows called quasi-Fuchsian flows. Namely, for a pair of metrics g_1 and g_2 of constant curvature -1 on a closed surface M, corresponding to points in Teichmueller space [g_1] and [g_2], respectively, he constructed an Anosov flow \phi_{[g_1], [g_2]} on the bundle of positive half-lines over M, whose weak stable and unstable foliations are smoothly conjugated to that of the geodesic flows of g_1 and g_2, respectively. In fact, in 1993 Ghys also showed that any Anosov flow on a 3-manifold with smooth weak stable/unstable bundles is smoothly conjugate to a quasi-Fuchsian flow or a suspension of a diffeomorphism of the 2-torus. In this talk, I will give an alternative 'PDE theoretic' description of quasi-Fuchsian flows as certain thermostat flows on the unit tangent bundle of the Blaschke metric uniquely determined by a conformal class on M and a holomorphic quadratic differential, satisfying `coupled vortex equations'. Joint work with Gabriel Paternain.
Quasi-Fuchsian flows and the coupled vortex equationsread_more
HG G 19.1
19 March 2025
13:30-14:30 		Dr. Tanja Schindler
Jagiellonian University/University of Exeter
Details

Ergodic theory and dynamical systems seminar

Title Title T.B.A.
Speaker, Affiliation Dr. Tanja Schindler, Jagiellonian University/University of Exeter
Date, Time 19 March 2025, 13:30-14:30
Location HG G 19.1
Title T.B.A.
HG G 19.1
26 March 2025
13:30-14:30 		Prof. Dr. Nattalie Tamam
Imperial College London
Details

Ergodic theory and dynamical systems seminar

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Nattalie Tamam, Imperial College London
Date, Time 26 March 2025, 13:30-14:30
Location HG G 19.1
Title T.B.A.
HG G 19.1
2 April 2025
13:30-14:30 		Constantin Kogler
University of Oxford
Details

Ergodic theory and dynamical systems seminar

Title On dimension and absolute continuity of self-similar measures
Speaker, Affiliation Constantin Kogler, University of Oxford
Date, Time 2 April 2025, 13:30-14:30
Location HG G 19.2
Abstract I will present my recent joint work with Samuel Kittle. We establish numerous novel explicit examples of absolutely continuous self-similar measures. In fact, we give the first inhomogenous examples in dimension 1 and 2 and construct examples for essentially any given rotations and translations, provided they have algebraic coefficients. Moreover we strengthen Varju's result for Bernoulli convolutions and Lindenstrauss-Varju's result in dimension >= 3. We also generalise Hochman's result to contracting on average measures and show that a separation condition weaker than exponential separation is sufficient.
On dimension and absolute continuity of self-similar measuresread_more
HG G 19.2
9 April 2025
13:30-14:30 		Prof. Dr. Kostiantyn Drach
Universitat de Barcelona/CRM-Barcelona
Details

Ergodic theory and dynamical systems seminar

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Kostiantyn Drach, Universitat de Barcelona/CRM-Barcelona
Date, Time 9 April 2025, 13:30-14:30
Location HG G 19.1
Title T.B.A.
HG G 19.1
7 May 2025
13:30-14:30 		Prof. Dr. David Aulicino
Brooklyn College (CUNY)
Details

Ergodic theory and dynamical systems seminar

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. David Aulicino, Brooklyn College (CUNY)
Date, Time 7 May 2025, 13:30-14:30
Location HG G 19.1
Title T.B.A.
HG G 19.1
14 May 2025
13:30-14:30 		Prof. Dr. Caroline Series
University of Warwick
Details

Ergodic theory and dynamical systems seminar

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Caroline Series, University of Warwick
Date, Time 14 May 2025, 13:30-14:30
Location HG G 19.1
Title T.B.A.
HG G 19.1
28 May 2025
13:30-14:30 		René Pfitscher
Université Sorbonne Paris Nord
Details

Ergodic theory and dynamical systems seminar

Title Title T.B.A.
Speaker, Affiliation René Pfitscher, Université Sorbonne Paris Nord
Date, Time 28 May 2025, 13:30-14:30
Location HG G 19.1
Title T.B.A.
HG G 19.1

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