Processing math: 100%

Schedule for: 25w5411 - Perspectives on Markov Numbers

Beginning on Sunday, January 26 and ending Friday January 31, 2025

All times in Banff, Alberta time, MST (UTC-7).

Sunday, January 26
09:00 - 10:00 placeholder (Online)
16:00 - 17:30 Check-in begins at 16:00 on Sunday and is open 24 hours (Front Desk - Professional Development Centre)
17:30 - 19:30 Dinner (Vistas Dining Room)
20:00 - 22:00 Informal gathering (Other (See Description))
Monday, January 27
07:00 - 08:45 Breakfast (Vistas Dining Room)
08:45 - 09:00 Introduction and Welcome by BIRS Staff (TCPL 201)
09:00 - 10:00 Christopher-Lloyd Simon: Intro 1- Markov numbers and hyperbolic geometry (TCPL 201)
10:00 - 10:30 Coffee Break (TCPL Foyer)
10:30 - 11:30 Colby Brown: Intro 2- Markov numbers and number theory (TCPL 201)
11:30 - 13:00 Lunch (Vistas Dining Room)
13:00 - 14:00 Ryan Schroeder: Intro 3- Markov numbers and cluster algebras (TCPL 201)
14:00 - 14:20 Group Photo (TCPL Foyer)
14:30 - 15:00 Coffee Break (TCPL Foyer)
15:00 - 16:00 Peter Sarnak (Online)
16:00 - 17:30 Jonah Gaster: Discussions (placeholder needed to activate cameras and zoom (TCPL 201)
16:30 - 17:30 Informal problem discussion (TCPL 201)
17:30 - 19:30 Dinner (Vistas Dining Room)
Tuesday, January 28
07:00 - 08:45 Breakfast (Vistas Dining Room)
09:00 - 09:30 Boris Springborn: The worst approximable rational (sic!) numbers (TCPL 201)
09:45 - 10:15 Alexander Veselov: Markov fractions and the slopes of the exceptional bundles on P2. (TCPL 201)
10:15 - 10:45 Coffee Break (TCPL Foyer)
10:45 - 11:15 Alexander Gamburd (TCPL 201)
11:30 - 12:00 William Chen: Markoff triples mod p and SL(2,p)-covers of elliptic curves (TCPL 201)
12:00 - 13:30 Lunch (Vistas Dining Room)
13:45 - 14:15 Daniel Martin: Arithmetic in Markoff mod p subgraphs (TCPL 201)
14:30 - 15:00 Ralf Schiffler: Monotonicity of Markov numbers via perfect matchings of snake graphs (TCPL 201)
15:15 - 15:45 Coffee Break (TCPL Foyer)
15:45 - 16:15 Anna Felikson: Groups generated by three symmetries on hyperbolic plane (TCPL 201)
16:30 - 17:00 Matthew de Courcy-Ireland: Fricke's trace identity and spin groups (TCPL 201)
17:30 - 19:30 Dinner (Vistas Dining Room)
20:00 - 21:00 Jonah Gaster: Lightning session (TCPL 201)
Wednesday, January 29
07:00 - 08:45 Breakfast (Vistas Dining Room)
08:45 - 17:00 Jonah Gaster: PLACEHOLDER (DO NOT DELETE OR ZOOM SESSION WILL NOT START) (TCPL 201)
09:00 - 10:00 Discussion 1 (TCPL 201)
10:00 - 10:30 Coffee Break (TCPL Foyer)
10:30 - 11:30 Discussion 2 (TCPL 201)
11:30 - 13:00 Lunch (Vistas Dining Room)
13:30 - 17:30 Free Afternoon (Banff National Park)
17:30 - 19:30 Dinner (Vistas Dining Room)
Thursday, January 30
07:00 - 08:45 Breakfast (Vistas Dining Room)
09:00 - 09:30 Arthur Baragar: Orbits of rational points on K3 surfaces (TCPL 201)
10:00 - 10:30 Dani Kaufman: Non-commutative Markov Numbers (TCPL 201)
10:45 - 11:15 Coffee Break (TCPL Foyer)
11:15 - 11:45 Ian Agol: A new proof of the Markov theorem (Online)
12:00 - 13:30 Lunch (Vistas Dining Room)
13:45 - 14:15 Aaron Calderon: Twist tori equidistribute in moduli space (Online)
14:30 - 15:00 Esther Banaian: Orbifold Markov Numbers (TCPL 201)
15:15 - 15:45 Coffee Break (TCPL Foyer)
15:45 - 16:15 Alfonso Sorrentino: Markov numbers, Fock's function, and Mather’s β function. (TCPL 201)
16:30 - 17:00 Elisa Bellah: Markoff Triples and Linear Recurrence Sequences (Online)
17:30 - 19:30 Dinner (Vistas Dining Room)
Friday, January 31
07:00 - 08:45 Breakfast (Vistas Dining Room)
09:00 - 10:00 Final Discussion (TCPL 201)
09:00 - 12:00 Jonah Gaster: Discussions (Do not delete or zoom will shutdown) (TCPL 201)
10:00 - 10:30 Coffee Break (TCPL Foyer)
10:30 - 11:00 Checkout by 11AM (Front Desk - Professional Development Centre)
12:00 - 13:30 Lunch from 11:30 to 13:30 (Vistas Dining Room)