I will discuss non-linear stability results concerning the asymptotic behavior of solutions to classical models arising in kinetic theory. Firstly,…
Categoria evento: Seminars
On the influence of stochastic rounding bias in implementing gradient descent with applications in low-precision training – Lu Xia (Eindhoven University of Technology)
In the context of low-precision computation for the training of neural networks with thegradient descent method (GD), the occurrence of deterministic rounding errors often leadsto stagnation or adversely affects the convergence of the optimizers.…
Maximal distance minimizers an overview (part II) – Danila Cherkashin (Bulgarian Academy of Sciences)
Consider a compact M⊂R^d and L>0. A maximal distance minimizer problem is to find a connected compact set Σ of the length (one-dimensional Hausdorff…
Maximal distance minimizers an overview (part I) – Yana Teplitskaya (Paris-Saclay)
Consider a compact M⊂R^d and L>0. A maximal distance minimizer problem is to find a connected compact set Σ of the length (one-dimensional Hausdorff…
Fractional measure and nonlocal curvature: surfaces, curves, and beyond – Brian Seguin (Loyola University Chicago)
Motivated by generalizations of the Ginsburg-Landau energy and the diffusion equation in which derivatives are replaced by fractional derivatives, Caffarelli,…
TBA – Jonathan Mattingly (Duke University)
TBA…
Long-range interactions in configurations of liquid droplets at equilibrium – Konstantinos Bessas (Università di Pavia)
In the first part of the talk we will introduce variational problems involving the free energy associated to the surface…
Large Deviations for Empirical Measures of Self-Interacting Markov Chains – Pavlos Zoubouloglou (University of North Carolina)
Let $\Delta^o$ be a finite set and, for each probability measure $m$ on $\Delta^o$, let $G(m)$ be a transition kernel…
On Moduli of Quiver Representations and Applications to Geometry – Patricio Gallardo (University of California, Riverside)
The moduli of quiver representations, i.e. tuples of line maps arranged per a prescribed directed graph, serve as a key tool within geometry and representation theory. In this talk, we will describe their structure and explore their applications to…
Galois representations attached to elliptic curves and Serre’s uniformity question – Lorenzo Furio (Università di Pisa)
The study of Galois representations attached to elliptic curves is a very fruitful branch of number theory, leading to the…