Given a smooth positive function $K$ on the standard sphere $(\mathbb{S}^n,g_0)$, we use refined blow up analysis, Morse theoretical methods…
Eventi
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…
Random currents and homologies on compact manifolds – Mauro Mariani (National Research University, Moscow)
We study the long time behavior of stochastic currents associated todiffusion processes on compact Riemannian manifolds. In the first partof…
Multiplicity sequence and integral dependence – Ngo Viet Trung (Institute of Mathematics, Vietnam Academy of Science and Technology)
In 1961 Rees proved a criterion for integral dependence between two ideals of finite colengths by the equality of their…
Some estimates in (fractional) spectral geometry – Lorenzo Brasco (Università di Ferrara)
We consider the first eigenvalue of the Dirichlet-Laplacian in a general open set. We seek for a geometric lower bounds,…
Finiteness properties, subgroups of hyperbolic groups and complex hyperbolic lattices – Claudio Llosa Isenrich (Karlsruhe Institute of Technology)
Hyperbolic groups form an important class of finitely generated groups that has attracted much attention in Geometric Group Theory. We call…
Travelling waves for a nonlinear Schrödinger system with quadratic interaction – Masayuki Hayashi (Università di Pisa)
Solitary waves (solitons, standing waves, traveling waves) are known to play a fundamental role in the analysis of nonlinear dispersive…