Model order reduction of parametric differential equations aims at constructing low-complexity high-fidelity surrogate models that allow rapid and accurate solutions under parameter variation. The development of reduced order models for Hamiltonian…
Categoria evento: Seminars
Fano 4-folds with $b_2>12$ are products of surfaces – Cinzia Casagrande (Università di Torino)
Let $X$ be a smooth, complex Fano 4-fold, and $b_2$ its second Betti number. We will discuss the following result: if $b_2>12$, then X is a product of del Pezzo surfaces. The proof relies on a careful study of divisorial elementary contractions $f:…
Random iteration on hyperbolic Riemann surfaces – Marco Abate (University of Pisa)
In this talk we shall describe the asymptotic behaviour of sequences of functions obtained by iteratively left-composing or right-composing holomorphic self-maps of a hyperbolic Riemann surface $X$. We shall consider in detail two cases: when the…
Volume rinormalizzato di 3-varietà iperboliche convesse-cocompatte – Viola Giovannini (University of Luxemburg-University of Pisa)
Data N una 3-varietà iperbolizzabile compatta con bordo, il volume rinormalizzato è una funzione a valori reali sullo spazio delle…
The mod $p$ cohomology of complete unordered flag manifolds in $\mathbb{C}^n$ and $\mathbb{R}^n$ – Lorenzo Guerra (Università di Roma ‘Tor Vergata’)
Flag manifolds are topological spaces parametrizing nested subspaces in a fixed vector space. On the complete flag manifold of $\mathbb{C}^n$ and $\mathbb{R}^n$ there is a natural action of the symmetric group on $n$ letters. In this talk I will…
Strong limit theorems for infinite measure-preserving dynamical systems with applications to non-standard continued fraction algorithms – Tanja Schindler (Univ. of Wien)
Aaronson’s theorem states that if we have a non-integrable observable over a finite measure system or if we have an integrable observable over a infinite measure space, then in both cases we can not have a strong law of large numbers. However -…
A limiting result for the partition regularity of functional equations – Paulo Arruda (Universität Wien)
Our main result provides a condition under which the partition regularity (PR) of systems of functional equations over a given infinite set can be completely characterised by the existence of constant solutions. From this result, we characterise the…
Renormalization of analytic maps of the annulus and applications to conjugacy problems – Michael Yampolsky (Univ. of Toronto)
In a recent series of works with N. Goncharuk, we have constructed an analytic renormalization operator acting on conformal maps of the annulus. We showed that this operator has a hyperbolic horseshoe attractor consisting of Brjuno rotations. I will…
Bounded height problems and applications – Francesco Amoroso (Université de Caen)
We shall report on some recent joint works with D. Masser and U. Zannier.Let $C$ be a curve defined over $\mathbb{Q}$. In 1999, Bombieri, Masser, and Zannier proved a result which may be rephrased as a toric analogue of Silverman’s Specialization…
Extremely rough outline of Embedding Calculus – Hyeonhee Jin (MPIM Bonn)
Goodwillie-Weiss embedding calculus can be used to study diffeomorphism groups, finite type invariants, and isotopy classes of surfaces in 4 manifolds. …