Prossimi seminari del Dipartimento di Matematica

Febbraio
19
Mercoledì
Claudia Ceci
nell'ambito della serie: STOCHASTICS AND APPLICATIONS - 2025
Seminario di finanza matematica, probabilità
ore 11:00
presso Aula Vitali
seminario on line •
We investigate the optimal self-protection problem, from the point of view of an insurance buyer, when the loss process is described by a Cox-shot-noise process and a Hawkes process with an exponential memory kernel. The insurance buyer chooses both the percentage of insured losses and the prevention effort. The latter term refers to actions aimed at reducing the frequency of the claim arrivals. The problem consists in maximizing the expected exponential utility of terminal wealth, in presence of a terminal reimbursement. We show that this problem can be formulated in terms of a suitable backward stochastic differential equation (BSDE), for which we prove existence and uniqueness of the solution. We extend in several directions the results obtained by Bensalem, Santibanez and Kazi-Tani [Finance Stoch. 2023] and compare our results with those presented therein. The talk is based on a joint paper with M. Brachetta, G. Callegaro and C. Sgarra.
Febbraio
19
Mercoledì
Philippe Ellia
nel ciclo di seminari: MATEMATICI NELLA STORIA
Seminario di algebra e geometria, analisi numerica, storia della matematica
ore 16:00
presso Aula Tonelli
seminario on line • collegamento al meeting
I will discuss the existence of a solution to the logarithmic Schrödinger equation in a bounded convex domain, with the property that log u is concave. Since the reaction is sign-changing and non-monotone, the classical techniques to attack the problem fail. We instead rely on a continuity argument for the approximating Lane-Emden problems based on the heuristic argument. We will discuss the optimality of the result, exhibiting for any α > 0 a solution such that u^a is not concave. This is a joint work with M. Squassina and M. Gallo.
Febbraio
20
Giovedì
We discuss the strong unique continuation property for linear differential operators of the form sum of squares of vector fields satisfying the Hörmander condition. We provide some negative and some positive results.
Febbraio
21
Venerdì
Josh Wrigley
Seminario di algebra e geometria, logica, teoria delle categorie
ore 14:00
presso Seminario I
Marzo
04
Martedì
Roberto Pignatelli
nell'ambito della serie: SEMINARIO DI ALGEBRA E GEOMETRIA
Seminario di algebra e geometria
ore 11:00
presso Aula Seminario VIII piano
In the first part of the seminar, I will discuss the concept of Birational Geometry, introduce some birational iInvariants and the moduli spaces of varieties of general type, along with a few examples that I consider significant. In the second part, I will present some recent results, obtained in collaboration with S. Coughlan, Y. Hu, and T. Zhang, on certain moduli spaces of three-dimensional varieties of general type.
Marzo
dal giorno
10/03/2025
al giorno
11/03/2025
Conference
Free boundaries in action
da lunedì 10 marzo 2025 a martedì 11 marzo 2025
The meeting is devoted to show recent PDEs results obtained in different fields. In particular, in applications to free boundary problems.
Marzo
10
Lunedì
Susanna Terracini, Università di Torino
TBA
Seminario di analisi matematica
ore 10:30
presso - Aula Da Stabilire -
seminario on line •
Marzo
10
Lunedì
Diego Moreira, Universida do Ceara, Brazil
TBA
Seminario di analisi matematica
ore 11:20
presso - Aula Da Stabilire -
seminario on line •
Marzo
10
Lunedì
Gianmaria Verzini, Politecnico di Milano
Seminario di analisi matematica
ore 15:00
presso - Aula Da Stabilire -
seminario on line •
When analyzing the survival threshold for a species in population dynamics, one is led to consider the principal eigenvalue of some indefinite weighted problems in a bounded domain. The minimization of such eigenvalue, associated with either Dirichlet or Neumann boundary conditions, translates into a shape optimization problem. We perform the analysis of the singular limit of this problem, in case of arbitrarily small favorable region. We show that, in this regime, the favorable region is connected and it concentrates at points depending on the boundary conditions. Moreover, we investigate the interplay between the location of the favorable region and its shape. Joint works with Lorenzo Ferreri, Dario Mazzoleni and Benedetta Pellacci.
Marzo
10
Lunedì
Ovidiu Savin, Columbia University, New York
TBA
Seminario di analisi matematica
ore 16:00
seminario on line •
Marzo
10
Lunedì
Daniela De Silva, Columbia University, New York
TBA
Seminario di analisi matematica
ore 17:00
seminario on line •
Marzo
11
Martedì
Isabeau Birindelli, Sapienza Università di Roma
Seminario di analisi matematica
ore 09:30
presso - Aula Da Stabilire -
seminario on line •
I will present a result obtain in collaboration with Hitoshi Ishii and Ariela Briani, that studies the asymptotic behaviors of solutions of fully nonlinear equations in thin domains with oblique boundary conditions with a test function approach à la Evans. The limit equation contains new terms in the second, first and zeroth order terms.
Marzo
11
Martedì
Claudia Beatriz Lederman, IMAS - CONICET and Departamento de Matematica, Universidad de Buenos Aires, Argentina
Seminario di analisi matematica
ore 10:15
presso - Aula Da Stabilire -
seminario on line •
We consider viscosity solutions to a two-phase free boundary problem for a nonlinear elliptic PDE with non-zero right hand side. We obtain regularity results for solutions and their free boundaries. The operator under consideration is a model case in the class of partial differential equations with non-standard growth. This type of operators have been used in the modelling of non-Newtonian fluids, such as electrorheological or thermorheological fluids, also in non-linear elasticity and image reconstruction. The fact that we are dealing with nonlinear degenerate/singular equations with non-zero right hand side leads to challenging difficulties that will be addressed in this talk. This is joint work with Fausto Ferrari (University of Bologna, Italy)
Marzo
11
Martedì
Ugo Gianazza, Università di Pavia
Seminario di analisi matematica
ore 11:30
presso - Aula Da Stabilire -
seminario on line •
The gradient of weak solutions to porous medium-type equations or systems possesses a higher integrability than the one assumed in the pure notion of a solution. This holds true both in the degenerate range $m>1$ and in the singular range $0<m<1$. The critical and sub-critical singular case, i.e. when $0<m\le \frac{(N-2)_+}{N+2}$, presents further difficulties, which have been recently settled. I will discuss the problem in its generality, focusing in particular on the latest results. The critical and subcritical case is a joint work with V. B\"ogelein, F. Duzaar and. N. Liao (University of Salzburg, Austria), but previous contributions are also due to S. Schwarzacher, R. Korte, C. Scheven.
Marzo
19
Mercoledì
Luciano Campi
TBA
nell'ambito della serie: STOCHASTICS AND APPLICATIONS - 2025
Seminario di finanza matematica, probabilità
ore 11:00
presso - Aula Da Stabilire -
seminario on line •
Marzo
21
Venerdì
Abstract: The Hochschild cohomology of a differential graded algebra or more generally of a differential graded category admits a natural map to the graded center of its derived category: the characteristic homomorphism. We interpret this map as an edge homomorphism in a spectral sequence, which allows to study the characteristic homomorphism systematically in many interesting examples from algebra, geometry, topology and physics. To illustrate this, we will discuss several concrete examples related to coherent sheaves on algebraic curves and cochains of classifying spaces of Lie groups. If time permits, I will also indicate a new extension of this framework to $A_\infty$-categories. Some of this is joint work with M. Szymik (Sheffield) other with A. Phimister (Leicester).
Marzo
24
Lunedì
Giorgio Ferrari
Seminario di analisi matematica, interdisciplinare, probabilità
ore 14:00
seminario on line • collegamento al meeting
Motivation of singular stochastic controls via an example.
Marzo
25
Martedì
Giorgio Ferrari
Seminario di analisi matematica, interdisciplinare, probabilità
ore 14:00
seminario on line • collegamento al meeting
Formalization of a general class of Markovian singular stochastic control problems in R^n.
Marzo
26
Mercoledì
Giorgio Ferrari
Seminario di analisi matematica, interdisciplinare, probabilità
ore 14:00
seminario on line • collegamento al meeting
Dynamic Programming Principle Equation and Verification Theorem for Markovian singular stochastic control problems in R^n.
Marzo
27
Giovedì
Giorgio Ferrari
Seminario di analisi matematica, interdisciplinare, probabilità
ore 14:00
seminario on line • collegamento al meeting
The optimal policy in terms of the solution to a Skorokhod reflection problem. Challenges in R^n, n>1, and the optimal solution in the one-dimensional case
Marzo
28
Venerdì
Given a measured groupoid G, together with Filippo Sarti, we defined a cohomology theory which generalizes the measurable bounded cohomology of a locally compact group. In the particular case of a groupoid associated to a measure preserving action, our cohomology boils down to the usual bounded cohomology of the group with twisted coefficients. We will discuss the possible applications of this result to orbit equivalence. 
Marzo
28
Venerdì
Giorgio Ferrari
Seminario di analisi matematica, interdisciplinare, probabilità
ore 14:00
seminario on line • collegamento al meeting
One-dimensional stationary mean-field games with singular controls
Marzo
31
Lunedì
This series of lectures aims at reviewing the research activity on the study of dynamical systems in high dimension. This subject appears in several contexts: in physics, understanding the many body dynamics of complex systems is essential to characterize their equilibration properties and/ or lack thereof. Beyond physics, understanding the dynamics of optimization algorithms is essential when the corresponding optimization problems are high-dimensional and non-convex. For example this is the typical case of the training dynamics of articial neural networks. The purpose of this course is to review what we know about dynamical systems in high dimension in several contexts and to discuss dynamical mean eld theory which is the main toolbox to study these problems.
Aprile
01
Martedì
Federico Tufo
TBA
nell'ambito della serie: SEMINARIO DI ALGEBRA E GEOMETRIA
ore 11:00
presso aula Filopanti, viale Filopanti 5
Aprile
02
Mercoledì
This series of lectures aims at reviewing the research activity on the study of dynamical systems in high dimension. This subject appears in several contexts: in physics, understanding the many body dynamics of complex systems is essential to characterize their equilibration properties and/ or lack thereof. Beyond physics, understanding the dynamics of optimization algorithms is essential when the corresponding optimization problems are high-dimensional and non-convex. For example this is the typical case of the training dynamics of articial neural networks. The purpose of this course is to review what we know about dynamical systems in high dimension in several contexts and to discuss dynamical mean eld theory which is the main toolbox to study these problems.
Aprile
04
Venerdì
This series of lectures aims at reviewing the research activity on the study of dynamical systems in high dimension. This subject appears in several contexts: in physics, understanding the many body dynamics of complex systems is essential to characterize their equilibration properties and/ or lack thereof. Beyond physics, understanding the dynamics of optimization algorithms is essential when the corresponding optimization problems are high-dimensional and non-convex. For example this is the typical case of the training dynamics of articial neural networks. The purpose of this course is to review what we know about dynamical systems in high dimension in several contexts and to discuss dynamical mean eld theory which is the main toolbox to study these problems.
Aprile
07
Lunedì
This series of lectures aims at reviewing the research activity on the study of dynamical systems in high dimension. This subject appears in several contexts: in physics, understanding the many body dynamics of complex systems is essential to characterize their equilibration properties and/ or lack thereof. Beyond physics, understanding the dynamics of optimization algorithms is essential when the corresponding optimization problems are high-dimensional and non-convex. For example this is the typical case of the training dynamics of articial neural networks. The purpose of this course is to review what we know about dynamical systems in high dimension in several contexts and to discuss dynamical mean eld theory which is the main toolbox to study these problems.
Aprile
08
Martedì
Laura Pertusi
TBA
nell'ambito della serie: SEMINARIO DI ALGEBRA E GEOMETRIA
Seminario di algebra e geometria
ore 11:00
presso Aula Vitali
TBA
Aprile
09
Mercoledì
This series of lectures aims at reviewing the research activity on the study of dynamical systems in high dimension. This subject appears in several contexts: in physics, understanding the many body dynamics of complex systems is essential to characterize their equilibration properties and/ or lack thereof. Beyond physics, understanding the dynamics of optimization algorithms is essential when the corresponding optimization problems are high-dimensional and non-convex. For example this is the typical case of the training dynamics of articial neural networks. The purpose of this course is to review what we know about dynamical systems in high dimension in several contexts and to discuss dynamical mean eld theory which is the main toolbox to study these problems.
Aprile
11
Venerdì
This series of lectures aims at reviewing the research activity on the study of dynamical systems in high dimension. This subject appears in several contexts: in physics, understanding the many body dynamics of complex systems is essential to characterize their equilibration properties and/ or lack thereof. Beyond physics, understanding the dynamics of optimization algorithms is essential when the corresponding optimization problems are high-dimensional and non-convex. For example this is the typical case of the training dynamics of articial neural networks. The purpose of this course is to review what we know about dynamical systems in high dimension in several contexts and to discuss dynamical mean eld theory which is the main toolbox to study these problems.
Aprile
dal giorno
14/04/2025
al giorno
16/04/2025
Conference
da lunedì 14 aprile 2025 a mercoledì 16 aprile 2025
The aim of this workshop is to bring together young researchers working in low-dimensional topology and geometric group theory in a broad sense. The event consists of main lectures and shorter talks in order to give the opportunity to young researchers to present their own research.
Aprile
21
Lunedì
Claudio Agostini
Seminario di algebra e geometria, logica
ore 14:00
presso Seminario II
Given a realcompact space X, we denote by Exp(X) the smallest infinite cardinal κ such that X is homeomorphic to a closed subspace of Rκ. In this talk, we analyze the realcompactness number of countable spaces. We will show that, for every cardinal κ, there exists a countable crowded space X such that Exp(X) = κ if and only if p ≤ κ ≤ c. On the other hand, we show that a scattered space of weight κ has pseudocharacter at most κ in any compactification. This will allow us to calculate Exp(X) for an arbitrary (that is, not necessarily crowded) countable space. This is a joint work with Andrea Medini and Lyubomyr Zdomskyy.
Maggio
13
Martedì
Roberto Svaldi
TBA
nell'ambito della serie: SEMINARIO DI ALGEBRA E GEOMETRIA
Seminario di algebra e geometria
ore 11:00
presso Aula Seminario VIII piano
Giugno
dal giorno
16/06/2025
al giorno
18/06/2025
Conference
Three Days in Sub-Riemannian Geometry
da lunedì 16 giugno 2025 a mercoledì 18 giugno 2025
Giugno
dal giorno
16/06/2025
al giorno
18/06/2025
Conference
Three Days in Sub-Riemmanian Geometry
da lunedì 16 giugno 2025 a mercoledì 18 giugno 2025
Giugno
18
Mercoledì
Giuseppina Guatteri
TBA
nell'ambito della serie: STOCHASTICS AND APPLICATIONS - 2025
Seminario di probabilità
ore 11:00
presso - Aula Da Stabilire -
seminario on line •