2019
Jun
25

# Dynamics Lunch: Michael Chapman ״Markoff triples״

12:00pm to 1:00pm

Partially based on the paper "The Markoff Group of Transformations in Prime and Composite Moduli" by Meiri and Puder.

- 2019 Jun 25
# Dynamics Lunch: Michael Chapman ״Markoff triples״

12:00pm to 1:00pmPartially based on the paper "The Markoff Group of Transformations in Prime and Composite Moduli" by Meiri and Puder. - 2019 Jun 18
# Dynamics Lunch: Matan Tal " Construction of a random walk on a lattice that is asymptotically appropriate for the ambient group (SLn(R))."

12:00pm to 1:00pmThe talk will be based on work done by Furstenberg, taken mainly from his paper "Randon Walks and Discrete Subgroups of Lie Groups". We will present the idea of a boundary attached to a random walk on a group, and explain intuitively how it can be applied to prove that SL2(R) and SLn(R) - for n greater than 2 - do not have isomorphic lattices. Then we focus on a key step in that proof: Constructing a random walk on a lattice in SLn(R) that has the same boundary as a "spherical" random walk on SLn(R) itself. - 2019 Jun 11
# Dynamics Lunch: Yotam Smilansky "The space of quasicrystals."

12:00pm to 1:00pmAbstract: Cut and project point sets are defined by identifying a strip of a fixed n-dimensional lattice (the "cut"), and projecting the lattice points in that strip to a d-dimensional subspace (the "project"). Such sets have a rich history in the study of mathematical models of quasicrystals, and include well known examples such as the Fibonacci chain and vertex sets of Penrose tilings. - 2019 Jun 04
# Dynamics Seminar: Arie Levit - Surface groups are flexibly stable

12:00pm to 1:00pmThis will be a research talk. The abstract is below: A group G is stable in permutations if every almost-action of G on a finite set is close to some actual action. Part of the interest in this notion comes from the observation that a non-residually finite stable group cannot be sofic. I will show that surface groups are stable in a flexible sense, that is if one is allowed to "add a few extra points" to the action. This is the first non-trivial stability result for a non-amenable group. - 2019 May 28
# Dynamics Lunch: Uri Gabor ״Percolation on finite graphs and isoperimetric inequalities" of Alon, Benjamini and Stacey (2004)״

12:00pm to 1:00pmFollowing the paper “ Preperiodic points and unlikely intersection” by Baker and DeMarco. - 2019 May 14
# Dynamics Lunch: Hongming Nie "Preperiodic points of unicritial polynomials”.

12:00pm to 1:00pmFollowing the paper “ Preperiodic points and unlikely intersection” by Baker and DeMarco. - 2019 May 07
- 2019 Apr 30
# Dynamics Lunch: Nishant Chandgotia "Generic properties of Lebesgue measure preserving transformations of the 2-torus."

12:00pm to 1:00pmAbstract: In this talk we will discuss some recent work by Guihéneuf and Lefeuvre who prove that shadowing is generic for Lebesgue measure preserving transformations of the 2-torus. We will spend most of our time motivating the problem, discussing the history of such questions- specifically touching upon earlier work of Oxtoby, Ulam, Alpern and Prasad and some general techniques used in the area. Time permitting, we will discuss the recent proof given by Guihéneuf and Lefeuvre. - 2019 Apr 02
- 2019 Mar 19
# Dynamics lunch: Jing Zhou "“escaping orbit of some piecewise smooth Fermi acceleration model”

12:00pm to 1:00pm## Location:

Manchester faculty clubFollowing "Dynamics of some piecewise smooth Fermi-Ulam Models” by De Simoi and Dolgopyat.