Adam Kanigowski (University of Maryland)
Sparse Equidistribution Problems in Dynamics
10:15 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room G 43
Dr. Mihajlo Cekic (Universität Zürich)
Quasi-Fuchsian flows and the coupled vortex equations abstract
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.
13:30 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room G 19.1
Prof. Dr. Gavril Farkas (Humboldt Universität zu Berlin)
Hurwitz-Brill-Noether theory via stability conditions abstract
Abstract:
In analogy with the classical situation of a general algebraic curve, Hurwitz-Brill-Noether addresses the question which linear systems appear on a general k-gonal curve of genus g. In recent years, due to impressive work of Pflueger, H. Larson, Jensen, Ranganathan and others an answer to this question has been put forward, using a mix of tropical and degeneration methods. I will discuss a radically new approach to this problem using Bridgeland stability conditions and present new applications, for instance concerning the construction of Hurwitz-Brill-Noether generic curves defined over number fields. Joint with S. Feyzbakhsh and A. Rojas.
13:30 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room G 43
Jerome Scherer (EPFL)
Abstract:
This is joint work with Ramon Flores and Guille Carrion. This talk will start with a historical introduction on Quillen\'s plus contruction (in integral homology) and its analogues for homology with coefficients. I will focus on a functorial description as a Bousfield localization and present the universal acyclic space Berrick and Casacuberta came up with in 1999. Our contribution is the construction of a universal rationally acyclic space. This allows us to understand better the class of rationally acyclic spaces and to study the behavior of the acyclization-plus construction fiber sequence.
Dr. Enrico Zampa (University of Vienna)
Structure-preserving discretization of incompressible magnetohydrodynamics and the incompressible Godunov-Peshkov-Romenski model abstract
Abstract:
Incompressible magnetohydrodynamics (MHD) and the incompressible Godunov-Peshkov-Romenski (GPR) model share a similar structural framework, with key properties such as energy conservation, incompressibility, and involutions. In this talk, we demonstrate how to preserve these essential properties at the fully discrete level using compatible finite element methods, combined with a tailored time integration scheme. Furthermore, we explore both linear and nonlinear stabilization strategies necessary for convection-dominated regimes, examining their interplay with structure preservation. In particular, we show that such stabilizations affect only energy conservation. This research was conducted in collaboration with M. Dumbser from the University of Trento.
16:00 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room G 19.2
Fanhao Kong (Peking University)
Weak Universality for KPZ with general nonlinearity and Poisson noise abstract
Abstract:
We consider a class of weakly asymmetric continuous microscopic growth models with polynomial smoothing mechanisms, general nonlinearities and a Poisson type noise. We show that they converge to the KPZ equation after proper rescaling, where the coupling constant depends on all details of the smoothing and growth mechanisms in the microscopic model. This provides a first example of Hairer-Quastel type with both generic nonlinearity and non-Gaussian noise. This talk is based on the joint work with Haiyi Wang and Weijun Xu.
16:00 • EPF Lausanne, CM 1 4
Prof. Dr. Sobhan Seyfaddini (ETH Zürich, Switzerland)
Symplectic geometry and area-preserving transformations
17:15 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room F 30
Prof. Dr. Erich Baur (Berner Fachhochschule, Technik und Informatik)
Graduate Workshop Reinforcement
17:15 • UZH Irchel, Winterthurerstrasse 190, Zürich, Building Y27, Room H12