Seminario Dottorato: An introduction to Ramification Theory for Number Fields

Wednesday 19 June 2013 h. 15:00, room 2BC60
Sophie Marques (Padova, Dip. Mat. and Bordeaux)
"An introduction to Ramification Theory for Number Fields"

Abstract
The question of prime decomposition in a finite extension of fields motivates classical ramification theory for field extensions. We propose to give a very little introduction to this deep subject which can also be extended to arithmetic geometry.
After recalling some basic facts around finite field extensions, we will explain how to do arithmetic in number fields. This will permit us to define the ramification for number field and to give some criteria permitting to decide which primes are ramified or not. Finally, we will study the particular case of quadratic extensions in order to see how we can apply this theory.

Rif. int. C. Marastoni, T. Vargiolu

Seminario Dottorato: Elliptic curves, an introduction and beyond

Wednesday 29 May 2013 h. 15:00, room 2BC/30
Rene' SCHEIDER (Regensburg)
"Elliptic curves, an introduction and beyond"

Abstract
The talk provides a very elementary introduction to elliptic curves and their geometry, with the final aim of understanding the analytic geometry of the universal family with level N structure.
As a broad audience shall be addressed, only few and basic prerequisites are required.
In more detail, the plan is to cover the following topics:
We explain how elliptic curves over a general field are defined and introduce their group law as well as the Weil Pairing. We then outline how these algebraic data express analytically if we work over the field of complex numbers. After this we are prepared to construct the universal elliptic curve with level N structure as a complex manifold.

Rif. int. C. Marastoni, T. Vargiolu

Seminario Dottorato: A class of derivative-free nonmonotone algorithms for unconstrained optimization

Wednesday 22 May 2013 h. 15:00, room 2BC30
Francesco RINALDI (Padova, Dip. Mat.)
"A class of derivative-free nonmonotone algorithms for unconstrained optimization"

Abstract

Seminario Dottorato: Almost integrable Hamiltonian systems and the approach of the Perturbation Theory

Wednesday 24 April 2013 h. 15:00, room 2BC30
Gabriella SCHIRINZI (Padova, Dip. Mat.)
"Almost integrable Hamiltonian systems and the approach of the Perturbation Theory"

Abstract

Seminario Dottorato: Interpolation properties of Morrey-type spaces and their application

Wednesday 10 April 2013 h. 15:00, room 2BC30
Diana DARBAYEVA K. (Padova , Dip. Mat. and Univ. Astana)
"Interpolation properties of Morrey-type spaces and their application"

Abstract

Seminario Dottorato: Regularization techniques for linear inverse ill-posed problems

Wednesday 20 March 2013 h. 16:00, room 2BC30
Silvia GAZZOLA (Padova, Dip. Mat.)
"Regularization techniques for linear inverse ill-posed problems"

Abstract

Seminario Dottorato: Ideas in finite group theory

Wednesday 27 February 2013 h. 15:00, room 2BC30
Martino GARONZI (Dip. Mat.)
"Ideas in finite group theory"

-Abstract

Seminario Dottorato: Portfolio optimization in defaultable markets under incomplete information

Wednesday 13 February 2013 h. 15:00, room 2BC30
Giorgia CALLEGARO (Dip. Mat.)
"Portfolio optimization in defaultable markets under incomplete information"

Seminario Dottorato: Hardy type inequalities on the cone of monotone sequences

Wednesday 6 February 2013 h. 16:00, room 2BC30
Zhanar TASPAGANBETOVA (Dip. Mat.)
"Hardy type inequalities on the cone of monotone sequences"

-Abstract

Seminario Dottorato: Probabilistic zeta function

Wednesday 30 January 2013 h. 15:00, room 2BC60
Dung DUONG (Dip. Mat.)
"Probabilistic zeta function"

-Abstract
In this talk, I will introduce about the area of the probabilistic zeta function of finitely generated groups. I will start with some basic definitions, some examples, some basic properties and end up with some open problems.

Rif. int. C. Marastoni, T. Vargiolu

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