2018 Jun 19

Tomasz Rzepecki (Uniwersytet Wrocławski): Topological dynamics and Galois groups in model theory

2:15pm to 3:15pm

Location:

Ross 70
In recent years, topological dynamics have become an important tool in model theory. I will talk about some topological dynamical results from my PhD thesis about the so-called group-like equivalence relations. I plan to give a glimpse of the motivations in model theory (mostly related to the model-theoretic Galois groups and connected components of definable groups) and to show some ideas of the proofs. I will briefly recall the required notions from topological dynamics. Some knowledge of model theory will help to understand the motivations, but otherwise, it will not be necessary.
2018 May 08

Dynamics Seminar: Tsviqa Lakrec (Huji)

12:00pm to 1:00pm

Location:

Manchester 209
Consider a simple random walk on $\mathbb{Z}$ with a random coloring of $\mathbb{Z}$. Look at the sequence of the first $N$ steps taken and colors of the visited locations. From it, you can deduce the coloring of approximately $\sqrt{N}$ integers. Suppose an adversary may change $\delta N$ entries in that sequence. What can be deduced now? We show that for any $\theta<0.5,p>0$, there are $N_{0},\delta_{0}$ such that if $N>N_{0}$ and $\delta<\delta_{0}$ then with probability $>1-p$ we can reconstruct the coloring of $>N^{\theta}$ integers.
2018 Apr 26

Basic Notions: Alex Lubotzky "From expander graphs to high dimensional expanders: a road map"

4:00pm to 5:30pm

Location:

Math Hall 2
Expander graphs have been a topic of great interest in the last 50 years for mathematicians and computer scientists. In recent years a high dimensional theory is emerging.  We will describe some of its main directions and questions.
2018 May 16

Analysis Seminar: Nadav Dym (WIS) "Linear algorithms for computing conformal mappings"

12:00pm to 1:00pm

Location:

Ross Building
Abstract: (joint with Noam Aigerman, Raz Sluzky and Yaron Lipman)
2018 May 29

Dynamics Lunch: Matan Seidel (Huji) - "The Mass Transport Principle in Percolation Theory"

12:00pm to 1:00pm

Location:

Manchester lounge
The Mass Transport Principle is a useful technique that was introduced to the study of automorphism-invariant percolations by Häggström in 1997. The technique is a sort of mass conservation principle, that allows us to relate random properties (such as the random degree of a vertex) to geometric properties of the graph. I will introduce the principle and the class of unimodular graphs on which it holds, as well as a few of its applications.
2018 Jun 27

Analysis Seminar: Barry Simon (Caltech) "Heinävarra’s Proof of the Dobsch–Donoghue Theorem"

12:00pm to 1:00pm

Location:

Ross Building, Room 70
Abstract: In 1934, Loewner proved a remarkable and deep theorem about matrix monotone functions. Recently, the young Finnish mathematician, Otte Heinävarra settled a 10 year old conjecture and found a 2 page proof of a theorem in Loewner theory whose only prior proof was 35 pages. I will describe his proof and use that as an excuse to discuss matrix monotone and matrix convex functions including, if time allows, my own recent proof of Loewner’s original theorem.
2018 May 29

Yuri Lima (Paris 11): Symbolic dynamics for non-uniformly hyperbolic systems with singularities

2:15pm to 3:15pm

Location:

Ross 70
Symbolic dynamics is a tool that simplifies the study of dynamical systems in various aspects. It is known for almost fifty years that uniformly hyperbolic systems have good'' codings. For non-uniformly hyperbolic systems, Sarig constructed in 2013 good'' codings for surface diffeomorphisms. In this talk we will discuss some recent developments on Sarig's theory, when the map has discountinuities and/or critical points, such as multimodal maps of the interval and Bunimovich billiards.
2018 May 08

Dynamics Seminar: Yinon Spinka (TAU): Finitary codings of Markov random fields

2:15pm to 4:15pm

Location:

Ross 70
Let X be a stationary Z^d-process. We say that X is a factor of an i.i.d. process if there is a (deterministic and translation-invariant) way to construct a realization of X from i.i.d. variables associated to the sites of Z^d. That is, if there is an i.i.d. process Y and a measurable map F from the underlying space of Y to that of X, which commutes with translations of Z^d and satisfies that F(Y)=X in distribution. Such a factor is called finitary if, in order to determine the value of X at a given site, one only needs to look at a finite (but random) region of Y.
2018 Apr 16

HD-Combinatorics Special Day on Grassman Expanders and Unique Games (organized by Irit Dinur)

(All day)

Location:

Room 130, IIAS, Feldman Building, Givat Ram
2018 Apr 11

4:00pm to 6:00pm

Ross 70A
2018 Apr 15

GAME THEORY AND MATHEMATICAL ECONOMICS RESEARCH SEMINAR: Ron Peretz, Bar Ilan University: "The Rate of Innovation Diffusion in Social Networks (joint with Itai Arieli, Yakov Babichenko, and Peyton H Young)"

1:30pm to 2:30pm

Location:

Elath Hall, 2nd floor, Feldman Building, Edmond Safra Campus
2018 May 22

Dynamics Lunch: Tsviqa Lakrec (Huji)

12:00pm to 1:00pm

Location:

Manchester lounge
2017 Mar 01

Logic seminar - Yair Hayut, "Weak Prediction Principles"

4:00pm to 6:00pm

Location:

Ross 70
Weak Prediction Principles Speaker: Yair Hayut Abstract: Jensen's diamond is a well studied prediction principle. It holds in L (and other core models), and in many cases it follows from local instances of GCH. In the talk I will address a weakening of diamond (due to Shaleh and Abraham) and present Abraham's theorem about the equivalence between weak diamond and a weak consequence of GCH. Abraham's argument works for successor cardinals. I will discuss what is known and what is open for inaccessible cardinals. This is a joint work with Shimon Garti and Omer Ben-Neria.
2017 Jul 26

Logic seminar - Andrés Villaveces, "Around non-elementary dependence"

2:00pm to 4:00pm

Location:

Ross 70
Dependent theories have now a very solid and well-established collection of results and applications. Beyond first order, the development of "dependency" has been rather scarce so far. In addition to the results due to Kaplan, Lavi and Shelah (dependent diagrams and the generic pair conjecture), I will speak on a few lines of current research around the extraction of indiscernibles for dependent diagrams and on various forms on dependence for abstract elementary classes. This is joint work with Saharon Shelah.