Techniques in Linear Algebra workshop

This Event has concluded, see past events

A one day workshop to help bring together early stage researchers to learn and discuss topics in Linear algebra.

We will discuss the classification of quadratic forms, with particular attention to the fields Q, R, C. This generalises the theory of inner product spaces (which again, is often introduced but rarely mastered at undergraduate level). We will discuss the polarisation of forms, the classification by Hilbert symbols and state the Local-Global principal. We focus on concrete computations - knowledge of p-adic numbers will not be required! As an application, we will give a complete and self-contained proof of the Bruck-Ryser-Chowla theorem, ruling out the existence of certain projective planes. 

This workshop is suitable for advanced undergraduate students and graduate students at any career stage. It may also be of interest to colleagues looking to refresh their knowledge of these classical algebraic topics. The only pre-requisite is a thorough understanding of elementary linear algebra: conceptual understanding of diagonalisation of a matrix should suffice.

 To help with catering and numbers, please register if you plan on attending, there is no registration fee. 

For any help or extra details please email:

patrick.browne@tus.ie

Details and location

 This one day workshop is being held at the end of the Rijeka Conference on Combinatorial Objects and Their Applications,  for all logistical inquiries please see riccota2023.math.uniri.hr/ 

Room O-027 (same as RICCOTA2023)

July 8th, 10am.

Working language will be English.