# Eventss

# Kazhdan Sunday seminar: Elon Lindenstrauss "Arithmetic applications of diagonal flows"

## Location:

I will give an introduction to the dynamics of higher rank diagonal flows on homogeneous spaces,

including both the rigidity theorems of such flows and their applications to orbits of arithmetic interest,

in particular CM points and integer points on spheres.

I hope to cover parts of the following papers:

Einsiedler, Manfred ; Lindenstrauss, Elon ; Michel, Philippe ; Venkatesh, Akshay . The distribution of closed geodesics

# Kazhdan Sunday seminar: "Computation, quantumness, symplectic geometry, and information" (Gil Kalai, Leonid Polterovich, with participation of Dorit Aharonov and Guy Kindler)

## Location:

Tentative syllabus

1. Mathematical models of classical and quantum mechanics.

2. Correspondence principle and quantization.

3. Classical and quantum computation: gates, circuits, algorithms

(Shor, Grover). Solovay-Kitaev. Some ideas of cryptography

4. Quantum noise and measurement, and rigidity of the Poisson bracket.

5. Noisy classical and quantum computing and error correction, threshold theorem- quantum fault tolerance (small noise is good for quantum computation). Kitaev's surface code.

# Kazhdan Sunday seminar: Tomer Schlank "Prismatic cohomology" (after Bhatt and Scholze)

## Location:

Abstract: We shall discuss (Weil) cohomology theories for algebraic varieties.

When working with schemes over p-complete rings and taking cohomologies with p-complete coefficients one gets a plurality of such cohomology theories (e'tale, De-Rahm, Crystalline, etc.. ). The comparison between these different cohomology theories is a subtle subject known as "p-adic hodge theory" .

# Analysis Seminar: Gershon Wolansky (Technion) "Limit theorems of optimal transportation and teleportation"

## Location:

Title:

Limit theorems of optimal transportation and teleportation

Abstract:

I’ll review the fundamental definitions in optimal transport theory and discuss limit theorems along with applications to regularity of flows and, if time permit, a novel application to optimal networks,

# Analysis Seminar: Moshe Goldberg (Technion) "Extending the Spectral Radius to Finite-Dimensional Power-Associative Algebras"

## Location:

Title: Extending the Spectral Radius to Finite-Dimensional Power-Associative Algebras

Abstract: The purpose of this talk is to introduce a new concept, the \textit{radius} of elements in arbitrary finite-dimensional power-associative algebras over the field of real or complex numbers. It is an extension of the well known notion of the spectral radius.

As examples, we shall discuss this new radius in the setting of matrix algebras, where it indeed reduces to the spectral radius, and then in the Cayley-Dickson algebras, where it is something quite different.

# Colloquium: Menachem Lazar (Bar Ilan) - Spatial point sets, level set geometry, and Voronoi topology structure analysis

## Location:

# Colloquium: Leonid Polterovich (TAU) - Quantum footprints of symplectic rigidity

## Location:

Abstract: I'll discuss an interaction between symplectic topology, a rapidly developing mathematical area originated as a geometric language for problems of classical mechanics, and quantum mechanics. On one hand, ideas from quantum mechanics give rise to new structures on the symplectic side, and quantum mechanical insights lead to useful symplectic predictions. On the other hand, some phenomena discovered within symplectic topology admit a translation into the language of quantum mechanics.

# Ohalo Seminar on Random walks, equidistribution, and rigidity

## Location:

The workshop will consist of four main mini-courses and several additional lectures, taking place on the shore of the Sea of Galilee, at Ohalo Manor Hotel.

Mini-Courses: Read more about Ohalo Seminar on Random walks, equidistribution, and rigidity

# Analysis Seminar: Misha Sodin (TAU) "The Wiener spectrum and Taylor series with pseudo-random coefficients"

## Location:

Abstract:

# Yuka received תולעת הפרק vaccination

# Colloquium: Boaz Klartag (Weizmann) - Needle decomposition and Ricci curvature

## Location:

Abstract: Needle decomposition is a technique in convex geometry,

which enables one to prove isoperimetric and spectral gap

inequalities, by reducing an n-dimensional problem to a 1-dimensional

one. This technique was promoted by Payne-Weinberger, Gromov-Milman

and Kannan-Lovasz-Simonovits. In this lecture we will explain what

needles are, what they are good for, and why the technique works under

lower bounds on the Ricci curvature.

# Zabrodsky Lectures: Paul Seidel (MIT)

# Zabrodsky Lecture 3: The symplectic topologist as a homotopy theorist

## Lecturer:

## Location:

Modern symplectic topology deals with objects of symplectic geometry indirectly, by associating to them auxiliary moduli spaces. This complicates its relation with homotopy theory. I will explain the overall framework that describes this relation (going back to Cohen, Jones and Segal), and some of the directions that are under investigation.

Read more about Zabrodsky Lecture 3: The symplectic topologist as a homotopy theorist

# Zabrodsky Lecture 2: The symplectic topologist as a number theorist

## Lecturer:

## Location:

Most of the complications of classical topology have to do with torsion phenomena, say by looking at homology with modulo p coefficients. In principle, the same is true for symplectic topology, but the implications are only beginning to be explored. A particular impetus is provided by mirror symmetry, which links symplectic topology with arithmetic geometry.

Read more about Zabrodsky Lecture 2: The symplectic topologist as a number theorist