9th meeting, 22nd August 2019, Swansea University

Speakers:

Alessio D'Alì, University of Warwick

Pawel Dlotko, Swansea University

Valérie Gauthier, Del Rosario University

Milena Hering, The University of Edinburgh

The 9th network meeting will be jointly organised with the Algebraic Spline Geometry meeting to be held at the same venue from August 21-23. All participants are welcome to extend their visit to Swansea and attend both meetings.  Please visit the the site.

Date:

August 22, 2019

Location:

 Department of Mathematics, Swansea University, Bay Campus, CF003. 

Local organiser:

 Nelly Villamizar, Swansea University

Registration :

If you wish to attend this conference, please register by sending an e-mail to Nelly Villamizar  (n.y.villamizar@swansea.ac.u). 

Schedule:

12:00-13:00 Registration, buffet lunch 🥪🥤

13:00-13:40 Valérie Gauthier 

13:40-14:20 Milena Hering

14:20-14:30 Tea and biscuits ☕ 🍪

14:30-15:10 Pawel Dlotko

15:10-15:50 Alessio D'Alì

18:00 Social dinner 

Funding:

Funding has been secured by the London Mathematical Society to support the travel costs of PhD students/early career researchers who wish to attend the meeting. 

Visitor information:

The talks will be in room CF003 in the Computational Foundry building at Swansea University Bay Campus. Here is the Bay Campus map [pdf], the Computational Foundry is building No. 10 in p.3.  Refreshments will be served near the entrance of the room. Bus 10 from the Railway station, or 8 from the Swansea Bus Station, will take you to the University bay campus in about 20 minutes. 

Abstracts collection:

Valérie Gauthier, Del Rosario University             13:00 - 13:40 

Title: Introduction to Code-based Post-Quantum Cryptography

Abstract: Being able to communicate in a safe way has been essential in political, diplomatic, economic and military affairs. Nowadays, when the information is digital, cryptology plays an even more important role. In this talk I will give a brief introduction to cryptology, from the classical to the post-quantum one, and I will focus on code-based cryptography.

Milena Hering, The University of Edinburgh       13:40 - 14:20 

Title: Where can toric syzygies live?

Abstract: In this talk I will give an introduction to syzygies and will discuss some open questions on them. I will then talk about the toric case, where defining equations and higher syzygies have a natural grading by the character lattice of the torus, and give some results on the the regions in the character lattice in which these equations and syzygies can be supported.

Pawel Dlotko, Swansea University                       14:30 - 15:10

Title: Geometry and topology of data

Abstract: Last few years are often refereed to as data revolution; a time when ability to produce and process vast amounts of data called for new scalable algorithms to analyze them. As a consequence, many at hoc solutions that lack theoretical guarantees have been introduced. In this talk I will introduce a few basic methods of geometry and topology - computable, stable and provably general tools that can be applied to analyze data and have the potential to become key tools in explainable machine learning and artificial intelligence.

Alessio D'Alì, University of Warwick                  15:10 - 15:50 

Title: Symmetric edge polytopes and their applications

Abstract: Symmetric edge polytopes are certain polytopes defined from the data of a finite simple graph. These objects have several pleasant combinatorial properties and connections to other branches of mathematics (for instance, the theory of finite metric spaces) and physics. In the present talk I will focus on a link to the Kuramoto synchronization model in physics, which was developed in the 1970s to describe the behaviour of oscillators (think of metronomes, fireflies...) influencing each other. This is joint ongoing work with E. Delucchi and M. Michałek.