Almost nothing is known on the continued fraction expansion of an algebraic real number of degree at least three. The situation is different over the field of power series Fp((x−1)), where p is a prime number. For instance, there are algebraic power…
Eventi
First-order aspects of Coxeter groups – Gianluca Paolini (Università di Torino)
We will talk about recent advancement on the model theory of Coxeter groups. We will focus in particular on affine Coxeter groups and on Droms right-angled Coxeter groups. These investigations lead to a general model-theoretic analysis of…
Irrational numbers and where to find them – Simon Kristensen (Aarhus University)
While all but countably many real numbers are irrational (and even transcendental), it is preciously difficult to decide whether this is the case for concrete real numbers, unless some special reason is apparent. For instance, we all know…
Exotic 4-manifolds with signature zero – R. Inanç Baykur (University of Massachusetts Amherst)
We are going to talk about our recent construction of small symplectic 4-manifolds with signature zero, which include the smallest closed…
A class of locally inhomogeneous complete quaternionic Kähler manifolds – Alejandro Gil-García (Universität Hamburg)
We prove that the one-loop deformation of any quaternionic Kähler manifold in the class of c-map spaces is locally inhomogeneous…
On the Nirenberg problem on spheres: Arbitrarily many solutions in a perturbative setting – Mohameden Ahmedou (Justus Liebig-Universität Gießen)
Given a smooth positive function $K$ on the standard sphere $(\mathbb{S}^n,g_0)$, we use refined blow up analysis, Morse theoretical methods…
Fractional relativistic magnetic Schrödinger operators – Pietro d'Avenia (Politecnico di Bari)
We discuss some recent results on relativistic fractional Schrödinger operators involving an external magnetic field (joint work with Federico Bernini).…
More efficient algorithms using stack-theoretic weighted blow-ups – David Rydh (Stockholm)
Abramovich, Temkin and Wlodarczyk has recently given an easier and more efficient algorithm for resolution of singularities using stack-theoretic weighted blow-ups. Weighted blow-ups generalize root stacks and ordinary blow-ups but are far more…
A brief introduction to the study of strongly invertible knots – Giovanni Framba (Università di Pisa)
Equivariant topology studies topological spaces that satisfy a given notion of symmetry.We introduce the study of knots in the equivariant…
Topological data analysis as a bridge to geometric deep learning – Patrizio Frosini (Università di Bologna)
Since the early 1990s, the theory that has subsequently taken the name of Topological Data Analysis has developed as a…