BGU Probability and Ergodic Theory (PET) seminar Ical Atom

The seminar meets on Thursdays, 11:10-12:00, in -101

This Week

Matan Seidel (TAU)

Primitivity Testing in Free Group Algebras via Duality

Let F be a free group and K a field. The free group algebra K[F] bears a strong resemblance to F, making it an excellent tool in the study of free groups. For example, by a theorem due to Cohn and Lewin, one-sided ideals in K[F] are free as K[F]-modules, analogously to the Nielsen-Schreier theorem. I will discuss this resemblance, along with other motivations for our interest in K[F] arising from the theory of word measures. I will then present a new algorithm for deciding if a given element is part of some basis of a given ideal, similarly to what Whitehead’s algorithm performs in free groups. Based on joint work with Danielle Ernst-West and Doron Puder.

2024–25–B meetings

Upcoming Meetings

Date
Title
Speaker
Abstract
Mar 27 Primitivity Testing in Free Group Algebras via Duality Matan Seidel (TAU)

Let F be a free group and K a field. The free group algebra K[F] bears a strong resemblance to F, making it an excellent tool in the study of free groups. For example, by a theorem due to Cohn and Lewin, one-sided ideals in K[F] are free as K[F]-modules, analogously to the Nielsen-Schreier theorem. I will discuss this resemblance, along with other motivations for our interest in K[F] arising from the theory of word measures. I will then present a new algorithm for deciding if a given element is part of some basis of a given ideal, similarly to what Whitehead’s algorithm performs in free groups. Based on joint work with Danielle Ernst-West and Doron Puder.
Apr 3 On the tensorization of the variational distance Aryeh Kontorovich (BGU (CS))
Apr 24 TBA Nadav Kalma (BGU)

TBA
May 8 A New Look at the Table-Maker’s Dilemma Jonathan Devor

TBA
May 15 TBA Yotam Shomroni (TAU)

TBA
Jun 5 TBA Gady Kozma (Weizmann Institute)

TBA

Past Meetings

Date
Title
Speaker
Abstract
Mar 20 Multi-fractal spectrum of planar harmonic measures Adi Glücksam (HUJI)

We will begin with defining the concepts of harmonic measure and different notions of dimensions. We will then connect those notions with what is called multi-fractal spectrum. Next, we will discuss finer features of the relationship between those dimensions. Lastly, we will define the universal counterparts and discuss an approximation theorem, showing the importance of domains arising from multifractal formalism. This is a developing story, based on a joint work with I. Binder.

Seminar run by Tomer Zimhoni and Mr. Liran Ron