The PGR Analysis Seminar is a student run seminar series on mathematical analysis. We focus on giving students the opportunity to talk about a topic of interest in mathematical analysis in an informal and friendly atmosphere. It takes place once a fortnight on Mondays at 14:15pm, in the Wolfson Lecture Theatre (4 West, 1.7). The programme for the seminar can be found below.
## List of speakers for second semester (2017/18)

### 5th of February

### 19th of February

### 5th of March

### 19th of March

### 16th of April

The analysis group at the University of Bath meets weekly to discuss a wide range of topics. These include operator theory, control theory and PDEs, among many others. More details can be found in this website.

Speaker: Pablo Vinuesa.

Title: Pseudo-differential operators on R^n.

Abstract: As a first approach, a pseudo-differential operator can be seen as the generalisation of Fourier multiplier operators. Its "symbol" will depend in the frequency variable and the spatial variable. In contrast a Fourier multiplier only depends on the frequency variable. These symbols can be classified into classes, which are usually called Hormander classes. During this talk I will introduce these operators and discuss the classes of symbols. Some important properties will also be proved.

Speaker: Owen Pembery.

Title: An Introduction to Bochner Spaces

Abstract: If you've ever considered the solution of a time-dependent PDE, or a stochastic PDE, you've probably been looking at an element of a Bochner space. These are generalisations of $L^p$ spaces, where we consider functions that take values in a Banach space. In this talk I'll give an overview of Bochner spaces and explain some of their uses, properties, and idiosyncrasies.

Speaker: Xavier Pellet.

Speaker: Serena D'Onofrio.

Speaker: James Roberts.

If you have any questions, you can contact me by email: P.Vinuesa@bath.ac.uk