Events & Seminars

2018 Jun 07

Colloquium: Gabriel Conant (Notre Dame) - "Pseudofinite groups, VC-dimension, and arithmetic regularity"

2:15pm to 3:15pm

Location: 

Manchester Building (Hall 2), Hebrew University Jerusalem
Given a set X, the notion of VC-dimension provides a way to measure randomness in collections of subsets of X. Specifically, the VC-dimension of a collection S of subsets of X is the largest integer d (if it exists) such that some d-element subset Y of X is ""shattered"" by S, meaning that every subset of Y can be obtained as the intersection of Y with some element of S. In this talk, we will focus on the case that X is a group G, and S is the collection of left translates of some fixed subset A of G.
2018 May 10

Colloquium: Zemer Kosloff (Hebrew University) - "Poisson point processes, suspensions and local diffeomprhisms of the real line"

2:30pm to 3:30pm

Location: 

Manchester Building (Hall 2), Hebrew University Jerusalem
The study of the representations theoretic properties of the group of diffeormorphisms of locally compact non compact Riemmanian manifolds which equal to the identity outside a compact set is is linked to a natural quasi invariant action of the group which moves all points of a Poisson point process according to the diffeomorphism (Gelfand-Graev-Vershik and Goldin et al.). Neretin noticed that the local diffeomorphism group is a subgroup of a larger group which he called GMS and that GMS also acts in a similar manner on the Poisson point process.
2018 May 31

Tamar Ziegler (Hebrew University) - "Concatenating cubic structure and polynomial patterns in primes"

2:30pm to 3:30pm

Location: 

Manchester Building (Hall 2), Hebrew University Jerusalem
A major difficulty in finding polynomial patterns in primes is the need to understand their distribution properties at short scales. We describe how for some polynomial configurations one can overcome this problem by concatenating short scale behavior in "many directions" to long scale behavior for which tools from additive combinatorics are available.
2018 Jun 19

Dynamics Lunch: Amichai Lampert (Huji) "Equidistribution of Zeros of Polynomials"

12:00pm to 1:00pm

Location: 

Manchester lounge
A classical theorem of Erdos and Turan states that if a monic polynomial has small values on the unit circle (relative to its constant coefficient), then its zeros cluster near the unit circle and are close to being equidistributed in angle. In February 2018, K. Soundararajan gave a short and elementary proof of their result using Fourier analysis. I'll present this new proof.
2018 May 01

Dynamics Lunch: Ofir David (Huji) "On Minkowski's conjecture"

12:00pm to 1:00pm

Location: 

Manchester lounge
One of the first algorithm any mathematician learns about is the Euclidean division algorithm for the rational integer ring Z. When asking whether other integer rings have similar such division algorithms, we are then led naturally to a geometric interpretation of this algorithm which concerns lattices and their (multiplicative) covering radius.
2018 Apr 11

Analysis Seminar: Cy Maor (Toronto) "The geodesic distance on diffeomorphism groups"

12:00pm to 1:00pm

Location: 

Ross Building, Room 70
Since the seminal work of Arnold on the Euler equations (1966), many equations in hydrodynamics were shown to be geodesic equations of diffeomorphism groups of manifolds, with respect to various Sobolev norms. This led to new ways to study these PDEs, and also initiated the study of of the geometry of those groups as (infinite dimensional) Riemannian manifolds.
2018 May 14

Combinatorics: Joel Friedman (UBC) "Open Problems Related to the Zeta Functions"

11:00am to 12:30pm

Location: 

IIAS, Eilat hall, Feldman bldg, Givat Ram
Speaker: Joel Friedman, UBC Title: Open Problems Related to the Zeta Functions Abstract: We express some open problems in graph theory in terms of Ihara graph zeta functions, or, equivalently, non-backtracking matrices of graphs. We focus on "expanders" and random regular graphs, but touch on some seemingly unrelated problems encoded in zeta functions. We suggest that zeta functions of sheaves on graphs may have relevance to complexity theory and to questions of Stark and Terras regarding whether coverings of a fixed graph can ramify like number field extensions.
2018 May 07

Combinatorics: Zur Luria (ETH), "New bounds for the n-queen's problem"

11:00am to 12:30pm

Location: 

IIAS, Eilat hall, Feldman bldg, Givat Ram
Speaker: Zur Luria, ETH Title: New bounds for the n-queen's problem Abstract: The famous n-queens problem asks: In how many ways can n nonattacking queens be placed on an n by n chessboard? This question also makes sense on the toroidal chessboard, in which opposite sides of the board are identified. In this setting, the n-queens problem counts the number of perfect matchings in a certain regular hypergraph. We give an extremely general bound for such counting problems, which include Sudoku squares and designs.

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