This page list all events and seminars that take place in the department this week. Please use the form below to choose a different week or date range.

## Noncommutative Analysis

### Structure of crossed product $C^*$-algebras

May 23, 11:00—12:00, 2022, Building 32, room 114

#### Speaker

Zhuang Niu (University of Wyoming)

#### Abstract

Consider a dynamical system, and let us study the structure of the corresponding crossed product $C^*$-algebra, in particular on the classifiability, comparison, and stable rank. More precisely, let us introduce a uniform Rokhlin property and a relative comparison property (these two properties hold for all free and minimal $Z^d$ actions). With these two properties, the crossed product $C^*$-algebra is shown to always have stable rank one, to satisfy the Toms-Winter conjecture, and that the comparison radius is dominated by half of the mean dimension of the dynamical system.

## Colloquium

### Approximated and stable groups

May 24, 14:30—15:30, 2022, Math -101

#### Speaker

Arie Levit (Tel Aviv University)

#### Abstract

In the study of infinite discrete groups it is useful to consider imperfect approximations by finitary models (either permutations or matrices). I will talk about the stability of such approximations, i.e. can it always be corrected to a perfect approximation, focusing mostly on amenable groups. The involved techniques include ergodic theory and dynamics as well as character theory of infinite groups. Some directions and open problems will be presented.

## אשנב למתמטיקה

### בניה טבעית של המספרים הממשיים

May 24, 16:10—17:30, 2022, אולם -101, בניין מתמטיקה

יאיר הרטמן

#### Abstract

מה צריך בשביל לבנות את המספרים הממשיים? אפסילונים? גבולות? לא בהכרח.

בהרצאה נבנה ביחד את המספרים הממשיים. נא להביא אתכם את המספרים השלמים ואת פעולת החיבור עליהם (מי שחושש שזה לא יספיק שיביא גם בקבוק ספרייט ומספריים)

## AGNT

### Bloch-Kato Groups and Iwasawa Theory in Chabauty-Kim

May 25, 16:00—17:00, 2022, -101

#### Speaker

David Corwin (BGU)

#### Abstract

We explain different kinds of Selmer groups, which are subgroups of Galois cohomology, including Bloch-Kato, strict, and Greenberg Selmer groups. We state part of the Bloch-Kato conjectures and describe a bound joint with A. Betts and M. Leonhardt on the number of rational points on a general higher genus curve, conditional on the Bloch-Kato conjectures. Finally, we explain how to use some Iwasawa theory, specifically Kato’s Euler system and a control theorem of Ochiai, to deduce specific cases of Bloch-Kato associated with elliptic curves.

## BGU Probability and Ergodic Theory (PET) seminar

### Universality for R^d-flowsOnline

May 26, 11:10—12:00, 2022, -101

#### Speaker

A dynamical system is called universal if any system with lower entropy can be embedded into it. In this talk, we will discuss universality for $R^d$ flows $(d>1)$ both in ergodic and Borel contexts. We will discuss a specification property that implies universality for $R^d$ flows and provide an example of a tiling dynamical system with this specification property. This is ongoing work with Tom Meyerovitch. This talk is a preliminary report.