We will describe a general method for calculating DW-invariants of orientable 3-manifolds. The method is based on a relation between DW-invariants and Arf-invariants of special quadratic functions over Z_2 on the first cohomology group of the given…
Eventi
Optimization & Numerical Analysis seminars. Numerical quasiseparable preservation in matrix functions and in the cyclic reduction. – Stefano Massei – Scuola Normale Superiore di Pisa (Il Seminario si svolgerà nella Sala Seminari Est, Dipartimento Informatica. Università di Pisa)
The quasiseparable structure can be efficiently exploited – in order to speed up computations and storage – by using hierachical representations. This theme has raised much interest in the last two decades, in particular in the context of elliptic…
Minimal energy solutions and infinitely many bifurcating branches for a class of saturated nonlinear Schrödinger systems – Rainer Mandel (Centro De Giorgi)
In the talk I will prove existence and nonexistence results for finite energy solutions of some parameter-dependent saturated nonlinear Schrödinger system. It is shown that for most parameter samples the ground state solutions are semitrivial while…
Minimal entropy for symmetric spaces – Louis Merlin (EPF Lausanne)
The volume growth entropy is the exponential growth rate of volume of balls in a Riemannian manifold. A conjecture of Gromov and Katok in the early 80’s states that the only knowledge of the entropy gives important informations about the ambient…
A brief introduction to rough paths theory – II – Giovanni Zanco (IST Austria)
We will introduce basic concepts and tools from rough paths theory, motivated by the need to establish a solution theory for differential equations driven by irregular signals. In particular we will discuss controlled rough paths, integration…
Nonlinear stability results for the Ohta-Kawasaki energy and for the nonlocal Mullins-Sekerka flow – Massimiliano Morini (Universita’ di Parma)
It has been recently shown that strictly stable critical configurations for the Ohta-Kawasaki energy are in fact isolated local minimizers with respect to small $L^1$-perturbations. After reviewing such results and some of their applications, we…
A brief introduction to rough paths theory – I – Giovanni Zanco (IST Austria)
We will introduce basic concepts and tools from rough paths theory, motivated by the need to establish a solution theory for differential equations driven by irregular signals. In particular we will discuss controlled rough paths, integration…
Calcolo di Malliavin per Strutture di Regolarità: il caso di gPAM – Giuseppe Cannizzaro (TU Berlin)
Le strutture di regolarità, introdotte da M. Hairer in A theory of Regularity Structures, hanno permesso di risolvere in modo robusto una ricca classe di equazioni alle derivate parziali stocastiche (SPDEs) mal poste. In questa presentazione…
Optimization & Numerical Analysis seminars. The Infinity Computer and numerical computations with infinities and in infinitesimals. – Yaroslav D. Sergeyev – Università della Calabria and N.I. Lobachevsky University of Nizhni Novgorod, Russia (Il Seminario si svolgerà nella Sala Seminari Ovest, Dipartimento Informatica, Università di Pisa.)
The lecture presents a recent methodology allowing one to execute numerical computations with finite, infinite, and infinitesimal numbers on a new type of a computer – the Infinity Computer – patented in EU, USA, and Russia (see [23]). The new…
Optimization & Numerical Analysis seminars. Lipschitz global optimization – Yaroslav D. Sergeyev – Università della Calabria and N.I. Lobachevsky University of Nizhni Novgorod, Russia (Il Seminario si svolgerà nella Sala Seminari Ovest, Dipartimento Informatica.)
Global optimization is a thriving branch of applied mathematics and an extensive literature is dedicated to it (see e.g., [1–24]). In this lecture, the global optimization problem of a multidimensional function satisfying the Lipschitz condition…