2019 May 02

# Kobi Peterzil (Haifa) - Closure of o-minimal flows on nilmanifolds

10:00am to 11:00am

I will discuss joint work with S. Starchenko, which combines dynamical systems in the nilmanifold setting with definable objects in o-minimal structures (e.g. semi-algebraic sets): Let G be a real algebraic unipotent group and let L be a lattice in G with p:G->G/L the quotient map. Given a subset X of G which is semi-algerbaic, or more generally definable in an o-minimal structure, we describe the closure of p(X) in terms of finitely many definable families of cosets of positive dimensional algebraic subgroups of G.
2019 Apr 04

4:00pm to 5:15pm

Ross 70
2019 Apr 10

# Logic Seminar - Yatir Halevi

11:00am to 1:00pm

## Location:

Ross 63

Type Definable Semigroups in Stable Structures

A semigroup is a set together with an associative binary operation. As opposed to stable groups, the model theory of stable semigroups is not so rich. One reason for that is their abundance.
We will review (and prove) some known results on type-definable semigroups in stable structures and offer some examples and counter-examples.
2019 May 06

# NT & AG Lunch: Michael Temkin "Elliptic curves with complex multiplication"

1:00pm to 2:00pm

## Location:

Faculty lounge, Math building
2019 Apr 08

# NT & AG Lunch: Michael Temkin, "Explicit Class Field Theory"

1:00pm to 2:00pm

## Location:

Faculty lounge, Math building
In a series of talks I will describe in the chronological order all cases where an explicit construction of CFT is known: 0. The multiplicative group and Kronecker-Weber -- the case of Q. 1. Elliptic curves with complex multiplication and Kronecker's Jugendraum -- the case of imaginary quadratic extensions. 2. Formal O-models of Lubin-Tate -- the local case. 3. Drinfeld's elliptic modules -- the function field case. \infinity. Extending this to real quadratic fields and, more generally, solving Hilbert's problem 12 will be left to the audience as an exercise.
2019 Apr 01

# NT & AG Lunch: Ehud DeShalit "An overview of class field theory, III"

1:00pm to 2:00pm

## Location:

Faculty lounge, Math building
Class field theory classifies abelian extensions of local and global fields in terms of groups constructed from the base. We shall survey the main results of class field theory for number fields and function fields alike. The goal of these introductory lectures is to prepare the ground for the study of explicit class field theory in the function field case, via Drinfeld modules. I will talk for the first 2 or 3 times.
2019 Mar 31

# Graduate student seminar: Yoel Grinshpon and Geva Yashfe

4:30pm to 7:00pm

## Location:

Junior faculty room
2019 Apr 04

# Special talk : Prof. Efim Zelmanov (UCSD) : Growth Functions

## Lecturer:

Prof. Efim Zelmanov (UCSD)
12:00pm to 1:00pm

## Location:

Ross 70
We will discuss growth functions of algebras and monoids.
2019 Mar 26

# Dynamics Seminar: Nattalie Tamam "Diagonalizable groups with non-obvious divergent trajectories"

12:00pm to 1:00pm

## Location:

Manchester faculty club
Singular vectors are the ones for which Dirichlet’s theorem can be infinitely improved. For example, any rational vector is singular. The sequence of approximations for any rational vector q is 'obvious'; the tail of this sequence contains only q. In dimension one, the rational numbers are the only singulars. However, in higher dimensions there are additional singular vectors. By Dani's correspondence, the singular vectors are related to divergent trajectories in Homogeneous dynamical systems. A corresponding 'obvious' divergent trajectories can also be defined.
2019 Mar 28

# Basic Notions: Benjamin Weiss (HUJI) "Groups with property T have and "cost" of equivalence relations"

4:00pm to 5:15pm

## Location:

Ross 70
The cost of a measure-preserving equivalence relation is a quantitative measure of its complexity. I will explain what the cost is and then discuss a recent result of Tom Hutchcroft and Gabor Pete in which they construct, for any group with property T, a free ergodic measure preserving action with cost 1.
2019 Mar 25

# NT & AG Lunch: Ehud DeShalit "An overview of class field theory, II"

1:00pm to 2:00pm

## Location:

Faculty lounge, Math building
Class field theory classifies abelian extensions of local and global fields in terms of groups constructed from the base. We shall survey the main results of class field theory for number fields and function fields alike. The goal of these introductory lectures is to prepare the ground for the study of explicit class field theory in the function field case, via Drinfeld modules. I will talk for the first 2 or 3 times.
2019 Mar 26

# T&G: Vivek Shende (Berkeley), Quantum topology from symplectic geometry

1:00pm to 2:30pm

## Location:

Room 110, Manchester Building, Jerusalem, Israel
The discovery of the Jones polynomial in the early 80's was the beginning of quantum topology'': the introduction of various invariants which, in one sense or another, arise from quantum mechanics and quantum field theory. There are many mathematical constructions of these invariants, but they all share the defect of being first defined in terms of a knot diagram, and only subsequently shown by calculation to be independent of the presentation. As a consequence, the geometric meaning has been somewhat opaque.
2019 Jun 26

# Logic Seminar - Nick Ramsey

11:00am to 1:00pm

## Location:

Ross 63
Possibilities for a theory of independence beyond NSOP_1 and NTP_2
2019 Mar 20

# Logic Seminar - Spencer Unger

11:00am to 1:00pm

## Location:

Ross 63

Stationary reflection and the singular cardinals hypothesis.
2019 Jun 19

# Logic Seminar - Shlomo Eshel

11:00am to 1:00pm

## Location:

Ross 63
A  generalization of the Szemeredi-Trotter theorem to o-minimal expansions of fields