Next Seminar:  January 15, 2026 at TU Graz

Time:  January 15, 13:00 - 18:00

Location: Kopernikusgasse 24, 3rd floor, HS F (Room NT03064)

Schedule: 

13:30-14:30: Dante Bonolis

Title: tba 

Abstract: tba

14:30-15:00: Tea break

15:00-16:00: Lukas Spiegelhofer

Title: tba

Abstract: tba

16:00-16:15: Break

16:15-17:15:  Noy Soffer Aranov

Title: Escape of Mass of Sequences 

Abstract: One way to study the distribution of nested quadratic number fields satisfying fixed arithmetic relationships is through the evolution of continued fraction expansions. In the function field setting, it was shown by de Mathan and Teullie that given a quadratic irrational Θ, the degrees of the periodic part of the continued fraction of tn Θ are unbounded. Paulin and Shapira improved this by proving that quadratic irrationals exhibit partial escape of mass. Moreover, they conjectured that they must exhibit full escape of mass. We construct counterexamples to their conjecture in every characteristic. In this talk we shall discuss the technique of proof as well as the connection between escape of mass in continued fractions, Hecke trees, and number walls. This is part of joint works with Erez Nesharim and Uri Shapira and with Steven Robertson.

18:00: Dinner