Type: Seminar

Modified: Thu 20 Oct 2022 1932

Distribution: World

Expiry: 31 Oct 2022

CalTitle1: One School Seminar -- Bregje Pauwels -- Quad S223

Auth: aksamit@net-93-70-92-71.cust.vodafonedsl.it (aaks9559) in SMS-SAML

Next week we will have One School Seminar, which is part of regular seminars aimed at all mathematical scientist organised by SMRI on Thursdays 13:00-14:00.

On Thursday 20th of October at 1pm, **Bregje Pauwels** will give a talk about **Categories, approximation, representation theory and algebraic geometry**. Seminar will be held in hybrid format, however we encourage in person participation :)

In person location: **Quad S223**

Zoom link: https://uni-sydney.zoom.us/j/87005021787

**Abstract:**

Category theory takes a bird’s eye view of mathematics, allowing mathematicians to spot new patterns and interconnections. Their abstract nature has proved incredibly useful in mathematics, and its applications have reached areas like neuroscience, chemistry, electrical circuits and computer science. In particular, triangulated categories play a central role in every branch of mathematics that uses homological algebra: representation theory, algebraic geometry and stable homotopy theory. Given a metric on a triangulated category, there is a reasonable notion of Fourier series, which we can use to ‘approximate’ objects. This powerful technical tool, while relatively new, has already been used to powerful effect.

In this talk, I will try to convince you that you should use the tool of approximation in triangulated categories. Failing that, I will at least try to convince you that categories are everywhere, and their language is incredibly useful.

This seminar series aims to facilitate sharing and learning about the research of our fellow staff members. Early and mid-career researchers will present a broader context of their work which should be accessible and relatable to the entire School community.

This semester we will also host a talk of **Garth Tarr** (27th of October).

Seminars will be followed by a **friendly gathering and refreshments in the SMRI common room or out on the terrace** (weather permitting).

Everyone is warmly invited!

Kind Regards,

Anna