Sala Seminari (Dip. Matematica)

On the Plateau-Douglas problem for the Willmore energy

Relatore: 
Marco Pozzetta
Abstract. In this talk we will introduce the Willmore energy of surfaces in the three-dimensional euclidean space, which is the surface integral of the squared mean curvature. For a smooth closed embedded planar curve, we will consider the minimization of the Willmore energy among immersed surfaces of a prescribed genus having the given curve as boundary. Such problem can be seen as a generalization of the classical Plateau-Douglas problem, which is immediately trivial in the case of planar boundary curves.
Data Seminario: 
Wednesday, November 7, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 18:00
Affiliazione: 
Universita' di Pisa
Ora Inizio: 
Saturday, January 1, 0000 - 17:00

Powers of Monomial Ideals and Combinatorics

Tipo Seminario: 
Relatore: 
Lê Tuân Hoa

Abstract: In this talk I will review some new results on the depth  of ordinary and symbolic powers as well as integral closures of powers of  monomial ideals in order to show a deep connection between Commutative Algebra and some objects in Combinatorics such as simplicial complexes, integral points in polytopes  and graphs.

Data Seminario: 
Monday, December 3, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 16:00
Affiliazione: 
Institute of Mathematics Hanoi (IMH), Vietnam Academy of Sciences and Technology
Ora Inizio: 
Saturday, January 1, 0000 - 15:00

Minimization of the eigenvalues of the Dirichlet-Laplacian with a diameter constraint.

Relatore: 
Ilaria Lucardesi
Abstract. In this talk I present some recent results about the minimization of $\lambda_k$ under diameter constraint. After providing existence, attained at a constant width body, and optimality conditions in any dimension, I focus my attention on the optimality of the disk in the plane, giving the precise list of 17 eigenvalues for which the disk is a local minimum. This last fact is confirmed by numerical simulations, which show non circular minimizers out of the afore mentioned 17 values of $k$. These results are obtained in collaboration with B. Bogosel (CMAP) and A.
Data Seminario: 
Wednesday, October 24, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 18:00
Affiliazione: 
Institut Elie Cartan de Lorraine
Ora Inizio: 
Saturday, January 1, 0000 - 17:00

A minimization approach to the wave equation on time-dependent domains.

Relatore: 
Lucia De Luca
Abstract. We prove the existence of weak solutions to the homogeneous wave equation on a suitable class of time-dependent domains. Using the approach suggested by De Giorgi and developed by Serra and Tilli, such solutions are approximated by minimizers of suitable functionals in space-time. Joint work with Gianni Dal Maso.
Data Seminario: 
Wednesday, October 10, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 18:00
Affiliazione: 
Università di Pisa
Ora Inizio: 
Saturday, January 1, 0000 - 17:00

Cryptography, Quantum Computation and Selberg's Sieve

Relatore: 
Paul Hriljac

Cryptography, Quantum Computation and Selberg's Sieve

 

We will discuss Shor's algorithm for factorization of integers using quantum computers. This algorithm employs Miller's algorithm, which we will also discuss. We will then explore an alternative, non-quantum, attempt to exploit Miller's algorithm. To do this we will introduce a new sort of discrete dynamical system, based on number theory. We will go on to begin analyzing this dynamical system using the theory of sieves.

 

Data Seminario: 
Thursday, September 27, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 16:00
Affiliazione: 
Embry-Riddle Aeronautical University
Ora Inizio: 
Saturday, January 1, 0000 - 15:00

Short curves in hyperbolic 3-manifolds via knots on Heegaard surfaces

Relatore: 
Alessandro Sisto

Given a Heegaard splitting of a manifold M, one can consider simple 
closed curves on the Heegaard surface as elements of its curve graph. I 
will discuss the result that if some such curve K is far from both disk 
sets (as measured in the curve graph), then the complement M-K is 
hyperbolic. Moreover, there is a condition involving subsurface 
projection that further ensures that M is obtained by long Dehn filling 
of M-K, yielding that M is hyperbolic and (the geodesic representative 
of) K is short.

Data Seminario: 
Thursday, November 8, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 11:00
Affiliazione: 
ETH Zurigo
Ora Inizio: 
Saturday, January 1, 0000 - 10:00

Transverse invariants from the deformations of Khovanov sl_3 homology

Tipo Seminario: 
Relatore: 
Carlo Collari

In this talk I will describe some invariants for transverse links in  
S^3 (endowed with the symmetric contact structure) arising from the  
deformations of Khovanov sl_3 homology.

I will start with a brief introduction to the theory of transverse  
links in S^3. Afterward, I will recall some known results concerning  
transverse invariants in link homologies. In particular, I will focus  
on the invariants coming from Khovanov-Rozansky homologies, and those   
coming from the deformations of Khovanov homology.

Data Seminario: 
Thursday, October 4, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 17:00
Affiliazione: 
Durham University
Ora Inizio: 
Saturday, January 1, 0000 - 16:00

Seminario di "Fisica Matematica" - Index theory and (in) stability in the n-body type problem

Relatore: 
Prof. Alessandro Portaluri

Abstract: In the last decades a zoo of new periodic orbits for the n-body type problem appeared in  literature  as critical points of the Lagrangian action functional. However, in order to penetrate the intricate dynamics  of this singular problem as well as  to understand the topological properties of the loop space of the configuration manifold, one first step is to establish the relation (if any) between the  Morse index  and the  stability property of the orbit as well as the index property of  both colliding and unbounded motions. 

 

Data Seminario: 
Tuesday, September 11, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 16:30
Affiliazione: 
Università di Torino
Ora Inizio: 
Saturday, January 1, 0000 - 15:00

Dal locale al globale

Relatore: 
Andrea Marino

Spesso in matematica capita che alcuni oggetti siano costruiti incollando un modello locale più semplice; ad esempio, le varietà lisce sono localmente R^n, e gli schemi sono localmente spettri di un anello. 

Nella prima parte descriveremo il processo che porta dal modello locale all'oggetto globale per una categoria qualsiasi, in modo preciso. Mostreremo che ogni funtore (co)continuo si estende in maniera unica agli oggetti incollati. Questo ci permetterà di dimostrare dei teoremi non banali sulla rappresentabilita' di certi funtori.

Data Seminario: 
Wednesday, July 4, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 18:00
Affiliazione: 
Universita` di Pisa
Ora Inizio: 
Saturday, January 1, 0000 - 17:00

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