When one considers manifolds with boundary, billiard dynamics are the natural analogue of standard geodesic dynamics. Namely, instead of having geodesics escape at the boundary, we force them back into the manifold using the reflection law. In other…
Eventi
Categorical resolutions of singularities – Alexander Kuznetsov (Steklov Mathematical Institute and HSE, Moscow, Russia)
In the talk, I will try to explain the definition of acategorical resolution of singularities and describe several related constructionsthat show the advantages of this notion over the geometric one. Youtube Channel:https://youtu.be/Y2Im3B7olxY…
Cohomological invariants of foliations – Luca Accornero (Utrecht University)
A codimension q-foliation is a partition of a manifold into submanifolds that locally looks like the fibers of a submersion onto the Euclidean space of dimension q. Foliations come with cohomological invariants – the most famous one being the…
Large deviations for stochastic models of chemical reaction networks – Andrea Agazzi (Duke University)
At the microscopic level, the dynamics of arbitrary networks ofchemicalreactions can be modeled as jump Markov processes whose sample paths converge, in the limit oflargenumber of molecules, to the solutions of a set of algebraic ordinary…
Il gruppo degli automorfismi di un gruppo libero finitamente generato – Dario Ascari (Oxford University)
Parleremo di gruppi liberi, loro basi, e loro gruppi di automorfismi. Introdurremo le trasformazioni di Whitehead e l’algoritmo di Whitehead. Introdurremo alcuni spazi di fondamentale importanza nello studio di Aut(Fn) e di Out(Fn), come l’Outer…
On the fixed points of Branching Brownian motion. – Atul Shekhar (Université Lyon 1)
We consider a particle system on the real line in which each particle evolves into many particles via independent Branching Brownian motions. Under a very mild natural assumption, we give a full characterisation of the fixed points of this particle…
Compatibility, embedding and regularization of non-local random walks on graphs – Davide Bianchi (University of Insubria, Como, Italy)
Several variants of the graph Laplacian have been introduced to model non-local diffusion pro- cesses, which allow a random walker to “jump” to non-neighborhood nodes, most notably the path graph Laplacians and the fractional graph Laplacian, see…