Continued Fractions and SL₂-tilings

Speakers/Titles/Slides:

• Esther Banaian (Aarhus)   Continued Fractions and Orbifold Markov numbers
• Karin Baur (Leeds)   Infinite friezes of affine type D
• John Blackman (Liverpool)   Cutting Sequences, Hecke Congruence Subgroups, and the p-adic Littlewood Conjecture
• Ilke Canakci (VU Amsterdam)   "Super" cluster algebras of type A reinterpreted
• Antoine de Saint Germain (The University of Hong Kong)   Y-frieze patterns   (Visual Cluster Algebras tool)
• Sam Evans (Loughborough)   Arithmetic and geometry of Markov polynomials
• Oleg Karpenkov (Liverpool)   Continued Fraction approach to Gauss-Reduction theory
• Sophie Morier-Genoud (Reims)   Combinatorial aspects of continued fractions, SL(2,Z)-tilings, and their q-analogs
• John Parker (Durham)   Diophantine approximation and Margulis regions for screw-parabolic maps in four dimensions
• Emmanuel Pedon (Reims)   Continued fractions and Hankel determinants for q-metallic numbers
• Pierre-Guy Plamondon (Versailles)   Friezes, reduction, and categorification
• Matthew Pressland (Glasgow)   The geometry and representation theory of frieze patterns
• Konstanze Rietsch (King's College London)   Generalising Euler's Tonnetz.   (link to The Tonnetz app and Fano Rainbow)
• Ian Short (Open University)   Continued fractions, SL2 -tilings, and the Farey complex
• Matty Van-Son (Open University)   Lifting SL2-tilings
• Alexander Veselov (Loughborough)   Braids and q-rationals
• Emine Yildirim (Leeds)   Matrix computation of cluster expansions
• Andrei Zabolotskii (Open University)   Gallery of Farey graphs, and Wild SL2-tilings

Organisers: Anna Felikson (Durham), Pavel Tumarkin (Durham)

Workshop photo: click here

Location: The talks will take place in MCS 0001, Mathematics and Computer Science building, Durham University. More information and maps can be found on university webpage.

Zoom: If you want to get the Zoom link to see the talks, please email the organisers.

Schedule:

titles and abstracts can be found here.

Monday, 25.03 (LMS Northern Regional Meeting)

13:15 Registration

13:45-14:00 LMS Opening

14:00-14:50 Sophie Morier-Genoud (Reims), "Combinatorial aspects of continued fractions, SL(2,Z)-tilings, and their q-analogs"

Break

15:30-16:20 Ian Short (Open University), "Continued fractions, SL2-tilings, and the Farey complex"

16:30-17:20 Matthew Pressland (Glasgow), "The geometry and representation theory of frieze patterns"

17:30 Reception

Tuesday, 26.03
9:30-10:20	Rietsch
Break
11:00-11:50	Plamondon
12:00-12:40	Van-Son
14:30-15:20	Banaian
Break
16:00-16:50	Baur
17:00-17:40	Zabolotskii
18:45 Dinner

Wednesday, 27.03
9:30-10:20	Yildirim
Break
11:00-11:50	Pedon
12:00-12:40	Evans
14:30-15:20	Veselov
Break
16:00-16:50	Canakci
17:00-17:40	de Saint Germain

Thursday, 28.03
9:30-10:20	Blackman
Break
11:00-11:50	Parker
12:00-12:50	Karpenkov