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Schedule for: 22w5024 - Specialisation and Effectiveness in Number Theory

Beginning on Sunday, August 28 and ending Friday September 2, 2022

All times in Banff, Alberta time, MDT (UTC-6).

Sunday, August 28
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 (TCPL Foyer)
Monday, August 29
07:00 - 08:45 Breakfast (Vistas Dining Room)
08:45 - 09:00 Introduction and Welcome by BIRS Staff (TCPL 201)
09:00 - 09:25 Lior Bary-Soroker: Rational points coming from ramified covers (TCPL 201)
09:30 - 09:55 Clemens Fuchs: A Hilbert irreducibility type result for polynomials over the ring of power sums (Online, 5:30-5:55 pm CEST)
09:55 - 10:00 Photo for on-line participants (Online)
10:00 - 10:30 Coffee Break (TCPL Foyer)
10:30 - 10:55 Emmanuel Breuillard: Random character varieties (TCPL 201)
11:00 - 11:25 Il'ya Shkredov: On Korobov bound concerning Zaremba's conjecture (Online, 8:00-8:25 pm MSK)
11:30 - 13:00 Lunch (Vistas Dining Room)
13:00 - 14:00 Guided Tour of The Banff Centre (PDC Front Desk)
14:00 - 14:20 Group Photo (TCPL Foyer)
14:30 - 14:55 William Chen: Hurwitz stacks and strong approximation for the Markoff equation (TCPL 201)
15:00 - 15:25 Gabriel Dill: On the support problem for Hilbert class polynomials (TCPL 201)
15:30 - 16:00 Coffee Break (TCPL Foyer)
16:00 - 16:25 Florian Luca: Recent progress on the Skolem problem (TCPL 201)
16:30 - 16:55 Lajos Hajdu: The proof of Skolem's conjecture for certain three term equations (TCPL 201)
17:30 - 19:30 Dinner (Vistas Dining Room)
Tuesday, August 30
07:00 - 08:45 Breakfast (Vistas Dining Room)
09:00 - 09:25 Jan-Hendrik Evertse: Effective results for Diophantine equations over finitely generated domains (I) (Online)
09:30 - 09:55 Attila Bérczes: Effective results for Diophantine equations over finitely generated domains (TCPL 201)
10:00 - 10:30 Coffee Break (TCPL Foyer)
10:30 - 10:55 Kálmán Györy: Bounds for the solutions of S-unit equations in two unknowns over number fields (Online)
11:00 - 11:25 Robert Tijdeman: Diophantine equations f(x)=g(y) with infinitely many rational solutions (Online)
11:30 - 13:00 Lunch (Vistas Dining Room)
13:00 - 14:30 Alina Ostafe: Discussions (Online)
14:30 - 14:55 Peter Koymans: The negative Pell equation and applications (TCPL 201)
15:00 - 15:25 Fabrizio Barroero: On the polynomial Pell equation (TCPL 201)
15:30 - 16:00 Coffee Break (TCPL Foyer)
16:00 - 16:25 Laura Capuano: Multiplicative and linear dependence over finite fields and on elliptic curves modulo primes (TCPL 201)
16:30 - 16:55 László Mérai: Divisors of sums of polynomials (TCPL 201)
17:30 - 19:30 Dinner (Vistas Dining Room)
Wednesday, August 31
07:00 - 08:45 Breakfast (Vistas Dining Room)
09:00 - 09:25 Evelina Viada: Rational points on curves embedded in a product of elliptic curves (Online)
09:30 - 09:55 Laura Paladino: Division fields and an effective version of the local-global principle for divisibility (Online)
10:00 - 10:30 Coffee Break (TCPL Foyer)
10:30 - 10:55 Hector Pasten: p-adic counting of rational points on surfaces (TCPL 201)
11:00 - 11:25 Gerold Schefer: Counting torsion points on algebraic subvarieties of the algebraic torus (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, September 1
07:00 - 08:45 Breakfast (Vistas Dining Room)
09:00 - 10:00 Yann Bugeaud: B' (Number Theory Web Seminar Talk) (Online)
10:00 - 10:30 Coffee Break (TCPL Foyer)
10:30 - 10:55 Francesco Amoroso: Covolume, units, regulator [Joint work with S. David] (TCPL 201)
11:00 - 11:25 Christopher Frei: Average genus number of abelian extensions (TCPL 201)
11:30 - 13:00 Lunch (Vistas Dining Room)
13:00 - 14:30 Discussions (TCPL 201)
14:30 - 14:55 Carlo Pagano: Field counting and arboreal degrees (TCPL 201)
15:00 - 15:25 Igor Shparlinski: Dynamical irreducibility of polynomials modulo primes (TCPL 201)
15:30 - 16:00 Coffee Break (TCPL Foyer)
16:00 - 16:25 Trevor Wooley: Subconvexity in twisted mean values of exponential sums (Online)
16:30 - 16:55 Niclas Technau: The gap distribution of (\sqrt{n}\,\mathrm{mod\,}1)_{n\geq1} and the circle method (TCPL 201)
17:00 - 17:25 Natalia Garcia-Fritz: About geometric progressions of rational points in elliptic curves (TCPL201)
17:30 - 19:30 Dinner (Vistas Dining Room)
Friday, September 2
07:00 - 08:45 Breakfast (Vistas Dining Room)
09:00 - 09:25 Robert Wilms: A quantitative Bogomolov-type result for curves over function fields (Online)
09:30 - 09:55 Harry Schmidt: Specialisations of families of rational maps (Online)
10:00 - 10:30 Coffee Break (TCPL Foyer)
10:30 - 11:00 Checkout by 11AM (Front Desk - Professional Development Centre)
10:30 - 10:55 Nathan Grieve: About approximation sets for properly intersecting divisors and effective techniques for local Weil and height functions (TCPL 201)
11:00 - 11:25 Fedor Pakovich: Invariant curves for endomorphisms of \mathbb P^1\times \mathbb P^1 (TCPL 201)
12:00 - 13:30 Lunch from 11:30 to 13:30 (Vistas Dining Room)