Source: Wikipedia
We are happy to announce that the next Øresund Seminar will be held in the Autumn of 2025. It will this time take place in Lund, at the Centre for Mathematical Sciences at Lund University. The lectures will be in the lecture room Riesz, just to your left when you enter the mathematics department. You can follow this link to find your way to the mathematics department, the entrance is on the east side towards sjön Sjön.
The Øresund seminar starts after a joint lunch at 12.00 on November 10th and roughly follows the schedule below. More details will appear.
Please register for the event, so we can order appropriate amount of coffee and seats for dinner, on the following link. Deadline for registration: Monday 3/11. The dinner will take place at Taperian located at Stortorget close to the cathedral.
The talk will present some recent results about the free boundary problem for an incompressible, irrotational liquid drop of nearly spherical shape with capillarity. The first part of the talk will deal with the extension of some classical results from the flat case to the spherical geometry, including the reduction to a problem on the boundary, the Hamiltonian structure, the analyticity and tame estimates for the Dirichlet-Neumann operator in Sobolev class, and a linearization formula for it, both by a differential geometry approach and with the method of the 'good unknown of Alinhac'. The second part of the talk will deal with the bifurcation of travelling waves, which are nontrivial fixed profiles rotating with constant angular velocity. Bifurcation from both simple and multiple eigenvalues is considered, where the Hamiltonian and variational structure of the problem, together with its conserved quantities, play a key role.
From works in collaboration with Vesa Julin, Domenico Angelo La Manna and Giuseppe La Scala.
For a dynamical system, modelled by the iterations of a mapping T:X→X, an invariant measure is a measure μ on X such that the measure of a set is the same as the measure of the pre-image under T of the set. For such measures, the distribution of a typical orbit is exactly the measure μ.
Given a smooth function φ, and a parametrised family of dynamical systems (X, T_t, μ_t), the response funtion R(t) = ∫φ dμ_t describes how typical orbits change with the parameter t. In some cases, R is smooth, which is called linear response, and in other cases R is only Hölder continuous, which is called fractional response.
I am going to talk about work together with Viviane Baladi about fractional response in the quadratic family, T_t(x) = t - x^2. From previous work, it is known that the response function R is essentially ½-Hölder continuous, and we aim at proving that this is essentially sharp.
Søren Fournais
Niels Martin Møller
Jan Philip Solovej
Magnus Goffeng [magnus dot goffeng (at) math dot lth dot se (responsible for the homepage)]
Jacob Stordal Christiansen
Erik Wahlén