A major challenge in the study of the structure of the three-dimensional homology cobordism group is to understand the interaction between hyperbolic…
Categoria evento: Seminars
Why Markman saves the Hodge conjecture for Weil type cycles from Kontsevich (in dimension 4) – Patrick Brosnan (University of Maryland)
I’ll explain two opposing pieces of work: (1) Markman’s proof of theHodge conjecture for general Weil type abelian fourfolds of discriminant 1, and (2) Kontsevich’s tropical approach to finding a counterexample to the Hodgeconjecture for Weil type…
Metastability for the Potts model with Glauber dynamics – Gianmarco Bet (Università di Firenze)
In this talk, I will describe some recent result on the low-temperature metastabile behavior of the ferromagnetic Potts model on…
Persistent homology in action: bridging topology and machine learning – Davide Moroni (CNR, Pisa)
Based on recent advances in representations based on topological descriptors, the talk will discuss how to leverage persistent homology for dealing with classification tasks of digital data. Applications to biomedical signal processing will be given…
Il fenomeno di Laurent in topologia – Marco Castronovo (Columbia University)
Circa venti anni fa, Fomin-Zelevinsky introdussero un metodo puramente algebrico per generare polinomi di Laurent con coefficienti dalle proprietà curiose.…
The Smoluchowski-Kramers diffusion-approximation for a class of constrained stochastic wave equations – Sandra Cerrai (University of Maryland)
We investigate the well-posedness of a class of stochastic second-order in time-damped evolution equations in Hilbert spaces, subject to the…
The Kato square root problem on pasta – Gianmarco Brocchi (Chalmers University/Gothenburg University)
Consider a matrix $A$ with complex, bounded, coefficients, which satisfies an ellipticity condition. In 1953 Tosio Kato asked what is…
Pattern reconstruction with restricted Boltzmann machines – Giuseppe Genovese (University of Zurich)
A Restricted Boltzmann machine (RBM) is a Gibbs probability distribution of great theoretical and methodological relevance in machine learning. It…
Acyclicity in bounded cohomology – Marco Moraschini (Università di Bologna)
Bounded cohomology is an invariant of groups introduced by Johnson in the 70s and then extensively studied both in geometric…
Many interacting particles and their effective theories: the case of Fermions in the mean-field and semiclassical regimes – Chiara Saffirio (University of Basel)
The derivation of effective macroscopic theories approximating microscopic systems of interacting particles in some scaling limit is a major question…