Sala Seminari (Dip. Matematica)

Seminario di Algebra - "Decomposizione di prodotti tensoriali di rappresentazioni di algebre di Lie"

Relatore: 
Roberto Pagaria

Abstract
In teoria delle rappresentazioni un problema molto studiato è la decomposizione di una rappresentazione in somma di rappresentazioni irriducibili.
Nel seminario sarà esposta una semplice regola dovuta a Peter Littelmann per decomporre il prodotto tensoriale di due rappresentazioni irriducibili di algebre di Lie semplici.

Data Seminario: 
Monday, May 11, 2015
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 16:30
Affiliazione: 
Scuola Normale Superiore di Pisa
Ora Inizio: 
Saturday, January 1, 0000 - 15:00

Nuij type pencils of hyperbolic polynomials

Tipo Seminario: 
Relatore: 
Krzysztof Kurdyka

Nuij's theorem states that if a polynomial p(z) with real coefficient is hyperbolic (i.e. has only real roots) then p+sp' is also hyperbolic
for any real number s. We study other perturbations of hyperbolic  polynomials of the form 
                            p_a(z,s): =p(z) +\sum_{k=1}^d a_ks^kp^{(k)}(z).

Data Seminario: 
Wednesday, April 29, 2015
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 15:00
Affiliazione: 
Université de Savoie, Francia
Ora Inizio: 
Saturday, January 1, 0000 - 13:30

Improvements in the Pila-Wilkie theorem for curves

Tipo Seminario: 
Relatore: 
Gareth Jones

The Pila-Wilkie theorem gives a bound on the number of rational points of bounded height lying on the transcendental part of a set definable in an o-minimal expansion of the real field. I'll explain the background to the Pila-Wilkie theorem and then discuss the result itself. I'll then go on to mention some instances in which the Pila-Wilkie theorem can be improved. Finally, I'll discuss some diophantine applications.

Data Seminario: 
Wednesday, April 22, 2015
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 15:00
Affiliazione: 
University of Manchester, U.K.
Ora Inizio: 
Saturday, January 1, 0000 - 13:30

Seminario dei Baby geometri - Geometric Realizations, Categorically

Relatore: 
Fosco Loregian

Abstract.

Simplicial sets GJ consitute the most natural model for the study of the
homotopy theory of spaces: every simplicial set X:Δop→Set can
be "topologically realized" in a CW-complex X, turning the combinatorial
informations encoded in its degeneracies into "true" topological
informations about the disks and spheres of the cellular structure of X.

Data Seminario: 
Wednesday, April 15, 2015
Aula: 
Sala Seminari (Dip. Matematica)
Ora Inizio: 
Saturday, January 1, 0000 - 17:00
Ora Fine: 
Saturday, January 1, 0000 - 18:00

Hyperbolic volume of links, via pants graph and train tracks

Tipo Seminario: 
Relatore: 
Antonio De Capua

A result of Jeffrey Brock states that, given a hyperbolic 3-manifold which is a mapping torus over a surface $S$, its volume can be expressed in terms of the distance induced by the monodromy map in the pants graph of $S$. This is an abstract graph whose vertices are pants decompositions of $S$, and edges correspond to some sort of 'elementary alterations' of those.

Data Seminario: 
Wednesday, April 8, 2015
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 16:00
Affiliazione: 
University of Oxford
Ora Inizio: 
Saturday, January 1, 0000 - 15:00

Seminari dei Baby-Geometri - An introduction to shadows of 4-manifolds

Relatore: 
Alessio Carrega

Abstract: We want to give the basic notions of the theory of shadows of 4-
and 3-manifolds. They are simple 2-polyhedra with a further structure.
Roughly speaking they are the 4-dimensional analogous of spines of
3-manifolds. If time is enough, we will talk about some of their
applications.

Data Seminario: 
Wednesday, March 25, 2015
Aula: 
Sala Seminari (Dip. Matematica)
Ora Inizio: 
Saturday, January 1, 0000 - 17:00
Ora Fine: 
Saturday, January 1, 0000 - 18:00

Bifurcation and stability of solitons for the asymptotically linear NLS

Relatore: 
François Genoud

"Abstract":The purpose of this talk is to convey the idea that bifurcation theory provides a powerful tool to prove existence and orbital stability of solitons for the nonlinear Schrödinger equation. It is especially useful to obtain results for space dependent problems, and beyond the power-law nonlinearity. This will be illustrated in the case of the asymptotically linear NLS.

Data Seminario: 
Wednesday, April 15, 2015
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 17:00
Affiliazione: 
Delft Institute of Applied Mathematics
Ora Inizio: 
Saturday, January 1, 0000 - 16:00

Rational homology cobordisms of plumbed 3-manifolds and arborescent link concordance

Tipo Seminario: 
Relatore: 
Paolo Aceto

We investigate rational homology cobordisms of 3-manifolds with non-zero first Betti number. This is motivated by the natural generalization of the slice-ribbon conjecture to multicomponent links.

Data Seminario: 
Wednesday, April 15, 2015
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 14:30
Affiliazione: 
Università di Firenze
Ora Inizio: 
Saturday, January 1, 0000 - 13:30

Seminari dei Baby-Geometri - Topological Quantum Field Theories

Relatore: 
Carlo Colllari

Abstract: Topological Quantum Field Theories (TQFTs for short) were
axiomatized by Atiyah in 1988 ([1]). Following his exposition, we will
define the concept of TQFT and give some examples. In particular, we will
describe the (1+1)-TQFTs and their algebraic counterparts, the Frobenius
algebras. Time permitting we will give some more examples in higher
dimension.

[1] M. Atiyah, Topological Quantum Field Theory, Publications
Mathématiques de l'IHÉS 68 (68): 175–186

Data Seminario: 
Wednesday, March 11, 2015
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 18:00
Affiliazione: 
Dipartimento di Matematica - Pisa
Ora Inizio: 
Saturday, January 1, 0000 - 17:00

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