You can download here the notes from the Courses and Seminars presented in the XVI BSCG. *

**S. SerraCapizzano (Insubria U., Italy):**Generalized locally Toeplitz matrix-sequences

##### Course Files:

- Generalized Locally Toeplitz Sequences: A Spectral Analysis Tool for Discretized Differential Equations (PDF)
- GLT Structures, spectral approximation of PDEs, symbol, and Fast Solvers (PDF)
- Isogeometric Analysis, Symbol Approach, and Structured Matrices: from the Spectral Analysis to the Design of Fast Iterative Solvers (PDF)

**N. P. Neto (CBPF):**Bouncing models: achievements and challenges

##### Abstract:

We review bouncing models and we present a viable model containing dark energy.

##### Course Files:

**C. Romero (UFPB):**Gravitation and Cosmology in Weyl Space-Time

##### Abstract:

We shortly revisit Weyl’s unified field theory and give a brief review of later developments inspired on his ideas. We mainly focus in a special version of Weyl geometry, which came to be known as the Weyl Integral Space-Time (WIST). This approach was initiated by Novello, in 1969, and inaugurated a new era in the investigation of geometrical scalar-tensor theories.

##### Course Files:

**E. Bittencourt**

**(UNIFEI):**Wormhole Definitions Revisited

##### Abstract:

We compare the proposals for the definition of a dynamic wormhole based upon a non-singular cosmological solution sourced by large scale magnetic fields. The energy-momentum tensor of such solution has an anisotropic pressure component, which leads to unsuspected features. Some concepts, like reversible traversability, are used to select the most suitable definition to represent a wormhole.

##### Course Files:

**R. Nemmen**

**(IAG-USP):**Black holes in astrophysics

##### Abstract:

An overview of the role of supermassive black holes in astrophysics. Some progress on numerical simulations of accretion flows, and treating the emerging radiation.

##### Course Files:

**M. Makler**

**(CBPF):**Cosmology with Strong Gravitational Lensing

**P. Peter**

**(CNRS, France):**Cosmological Perturbations

**V. Motta**

**(Universidad de Valparaíso, Chile):**Gravitational Lensing

##### Course Files:

- Gravitational Lensing 1 (PDF)
- Gravitational Lensing 2 (PDF)
- Gravitational Lensing 3 (PDF)

**C. Chirenti**

**(UFABC, Brazil):**Mathematical and observational aspects of gravitational waves in LIGO

##### Abstract:

These lecture notes are based on the short course presented in the XVI Brazilian School of Cosmology and Gravitation at the Brazilian Center for Physical Research (CBPF) in July 2017. The objective of this course was to introduce the students to the notion and analysis of black hole quasinormal modes, starting from the linear perturbation theory, including a brief discussion of numerical methods and astrophysical implications in the gravitational wave signals recently detected by LIGO.

##### Course Files:

- Black Hole Quasinormal Modes – Lecture 3 (PDF)
- Black hole quasinormal modes in the era of LIGO (PDF)

*In Progress