-
26/05/2025, 09:00
In geometric analysis, rigidity phenomena occur when specific conditions, typically expressed in terms of partial differential equations, are imposed on a family of mathematical objects, such as functions or tensor fields, leading to the conclusion that solutions can exist only on a distinguished subclass of manifolds, typically characterised by a high number of symmetries.
In this...
Go to contribution page -
26/05/2025, 09:55
In geometric analysis, rigidity phenomena occur when specific conditions, typically expressed in terms of partial differential equations, are imposed on a family of mathematical objects, such as functions or tensor fields, leading to the conclusion that solutions can exist only on a distinguished subclass of manifolds, typically characterised by a high number of symmetries.
In this...
Go to contribution page -
26/05/2025, 11:15
Abstract
Go to contribution page
Mathematical billiards offer a rich and fascinating playground where geometry, dynamics, and analysis theory meet. In its simplest form, a billiard system consists of a point particle moving freely within a domain, undergoing elastic reflections off the boundary according to the classical law of reflection. Despite the apparent simplicity of the model, the resulting dynamics are... -
26/05/2025, 12:10
Abstract
Go to contribution page
Mathematical billiards offer a rich and fascinating playground where geometry, dynamics, and analysis theory meet. In its simplest form, a billiard system consists of a point particle moving freely within a domain, undergoing elastic reflections off the boundary according to the classical law of reflection. Despite the apparent simplicity of the model, the resulting dynamics are... -
26/05/2025, 14:30
Abstract
Go to contribution page
La dimensione essenziale, un invariante che si può definire in grande generalità; risponde alla domanda: quanti parametri indipendenti sono necessari per definite un oggetto algebrico in una certa classe? Fu introdotta, nel caso delle estensioni di Galois, nel 1997 da Z. Reichstein e J. Buhler nell'articolo "On the essential dimension of a finite group". Le sue radici sono in... -
26/05/2025, 15:25
Abstract
Go to contribution page
La dimensione essenziale, un invariante che si può definire in grande generalità; risponde alla domanda: quanti parametri indipendenti sono necessari per definite un oggetto algebrico in una certa classe? Fu introdotta, nel caso delle estensioni di Galois, nel 1997 da Z. Reichstein e J. Buhler nell'articolo "On the essential dimension of a finite group". Le sue radici sono in... -
27/05/2025, 09:00
Abstract
Go to contribution page
While the theory of quantum mechanics describes interactions between the fundamental constituents of matter at microscopic scales, these interactions can lead to fascinating effects at the macroscopic level. Understanding the emergence of these phases from the microscopic description of quantum systems is a fundamental yet highly challenging mathematical problem. In this course, we... -
27/05/2025, 09:55
Abstract
Go to contribution page
While the theory of quantum mechanics describes interactions between the fundamental constituents of matter at microscopic scales, these interactions can lead to fascinating effects at the macroscopic level. Understanding the emergence of these phases from the microscopic description of quantum systems is a fundamental yet highly challenging mathematical problem. In this course, we... -
27/05/2025, 11:15
Abstract
Go to contribution page
Mathematical billiards offer a rich and fascinating playground where geometry, dynamics, and analysis theory meet. In its simplest form, a billiard system consists of a point particle moving freely within a domain, undergoing elastic reflections off the boundary according to the classical law of reflection. Despite the apparent simplicity of the model, the resulting dynamics are... -
27/05/2025, 12:10
Abstract
Go to contribution page
Mathematical billiards offer a rich and fascinating playground where geometry, dynamics, and analysis theory meet. In its simplest form, a billiard system consists of a point particle moving freely within a domain, undergoing elastic reflections off the boundary according to the classical law of reflection. Despite the apparent simplicity of the model, the resulting dynamics are... -
27/05/2025, 14:30
Abstract
Go to contribution page
La dimensione essenziale, un invariante che si può definire in grande generalità; risponde alla domanda: quanti parametri indipendenti sono necessari per definite un oggetto algebrico in una certa classe? Fu introdotta, nel caso delle estensioni di Galois, nel 1997 da Z. Reichstein e J. Buhler nell'articolo "On the essential dimension of a finite group". Le sue radici sono in... -
27/05/2025, 15:25
Abstract
Go to contribution page
La dimensione essenziale, un invariante che si può definire in grande generalità; risponde alla domanda: quanti parametri indipendenti sono necessari per definite un oggetto algebrico in una certa classe? Fu introdotta, nel caso delle estensioni di Galois, nel 1997 da Z. Reichstein e J. Buhler nell'articolo "On the essential dimension of a finite group". Le sue radici sono in... -
27/05/2025, 16:45
Abstract
Go to contribution page
Mathematical billiards offer a rich and fascinating playground where geometry, dynamics, and analysis theory meet. In its simplest form, a billiard system consists of a point particle moving freely within a domain, undergoing elastic reflections off the boundary according to the classical law of reflection. Despite the apparent simplicity of the model, the resulting dynamics are... -
28/05/2025, 09:00
Abstract
Go to contribution page
Mathematical billiards offer a rich and fascinating playground where geometry, dynamics, and analysis theory meet. In its simplest form, a billiard system consists of a point particle moving freely within a domain, undergoing elastic reflections off the boundary according to the classical law of reflection. Despite the apparent simplicity of the model, the resulting dynamics are... -
28/05/2025, 09:55
Abstract
Go to contribution page
Mathematical billiards offer a rich and fascinating playground where geometry, dynamics, and analysis theory meet. In its simplest form, a billiard system consists of a point particle moving freely within a domain, undergoing elastic reflections off the boundary according to the classical law of reflection. Despite the apparent simplicity of the model, the resulting dynamics are... -
28/05/2025, 11:15
In geometric analysis, rigidity phenomena occur when specific conditions, typically expressed in terms of partial differential equations, are imposed on a family of mathematical objects, such as functions or tensor fields, leading to the conclusion that solutions can exist only on a distinguished subclass of manifolds, typically characterised by a high number of symmetries.
In this...
Go to contribution page -
28/05/2025, 12:10
In geometric analysis, rigidity phenomena occur when specific conditions, typically expressed in terms of partial differential equations, are imposed on a family of mathematical objects, such as functions or tensor fields, leading to the conclusion that solutions can exist only on a distinguished subclass of manifolds, typically characterised by a high number of symmetries.
In this...
Go to contribution page -
29/05/2025, 09:00
Abstract
Go to contribution page
While the theory of quantum mechanics describes interactions between the fundamental constituents of matter at microscopic scales, these interactions can lead to fascinating effects at the macroscopic level. Understanding the emergence of these phases from the microscopic description of quantum systems is a fundamental yet highly challenging mathematical problem. In this course, we... -
29/05/2025, 09:55
Abstract
Go to contribution page
While the theory of quantum mechanics describes interactions between the fundamental constituents of matter at microscopic scales, these interactions can lead to fascinating effects at the macroscopic level. Understanding the emergence of these phases from the microscopic description of quantum systems is a fundamental yet highly challenging mathematical problem. In this course, we... -
29/05/2025, 11:15
In geometric analysis, rigidity phenomena occur when specific conditions, typically expressed in terms of partial differential equations, are imposed on a family of mathematical objects, such as functions or tensor fields, leading to the conclusion that solutions can exist only on a distinguished subclass of manifolds, typically characterised by a high number of symmetries.
In this...
Go to contribution page -
29/05/2025, 12:10
In geometric analysis, rigidity phenomena occur when specific conditions, typically expressed in terms of partial differential equations, are imposed on a family of mathematical objects, such as functions or tensor fields, leading to the conclusion that solutions can exist only on a distinguished subclass of manifolds, typically characterised by a high number of symmetries.
In this...
Go to contribution page -
29/05/2025, 14:30
Abstract
Go to contribution page
La dimensione essenziale, un invariante che si può definire in grande generalità; risponde alla domanda: quanti parametri indipendenti sono necessari per definite un oggetto algebrico in una certa classe? Fu introdotta, nel caso delle estensioni di Galois, nel 1997 da Z. Reichstein e J. Buhler nell'articolo "On the essential dimension of a finite group". Le sue radici sono in... -
29/05/2025, 15:25
Abstract
Go to contribution page
La dimensione essenziale, un invariante che si può definire in grande generalità; risponde alla domanda: quanti parametri indipendenti sono necessari per definite un oggetto algebrico in una certa classe? Fu introdotta, nel caso delle estensioni di Galois, nel 1997 da Z. Reichstein e J. Buhler nell'articolo "On the essential dimension of a finite group". Le sue radici sono in... -
29/05/2025, 16:45
Abstract
Go to contribution page
While the theory of quantum mechanics describes interactions between the fundamental constituents of matter at microscopic scales, these interactions can lead to fascinating effects at the macroscopic level. Understanding the emergence of these phases from the microscopic description of quantum systems is a fundamental yet highly challenging mathematical problem. In this course, we... -
30/05/2025, 09:00
Abstract
Go to contribution page
In this concluding seminar, we will illustrate some geometric and relativistic applications of the study of Green's functions on asymptotically flat 3-manifolds with nonnegative scalar curvature. Time permitting, we will also discuss some more recent results concerning the case of compact 3-manifolds with boundary and strictly positive scalar curvature. -
30/05/2025, 09:55
Abstract
Go to contribution page
La dimensione di Cremona è un invariante di un gruppo finito, che fornisce un limite inferiore per la sua dimensione essenziale. Illustrerò tre dei risultati noti, dovuti a Prokhorov e Shramov, a Haution, e a Bresciani, Reichstein e me stesso. -
30/05/2025, 11:15
Abstract
Go to contribution page
While the theory of quantum mechanics describes interactions between the fundamental constituents of matter at microscopic scales, these interactions can lead to fascinating effects at the macroscopic level. Understanding the emergence of these phases from the microscopic description of quantum systems is a fundamental yet highly challenging mathematical problem. In this course, we... -
30/05/2025, 12:10
Since the early experiments on Bose-Einstein condensation in cold atomic gases, the Gross-Pitaevskii equation has emerged as a unique tool for describing both the equilibrium and dynamical properties of dilute Bose gases at low temperature. From a mathematical perspective, pioneering works by Lieb, Seiringer and Yngvason (2000) and Erdös, Schlein and Yau (2010) have shown that the...
Go to contribution page
Choose timezone
Your profile timezone: