Seminars, 2017

Lectures:
  • June 20, 2017
    Partition relations equiconsistent with high rank measurable
    cardinals
    Prof. Yechiel M. Kimchi, CS Faculty, Technion, Israel

  • June 13, 2017
    Data Science and its applications
    Eitan Lifshits, Cyberint, Israel

    Abstract
    Data science today is one of the most evolving and widely used areas. Involving mathematics, statistics and computer science, it has a wide range of applications, such as Machine Learning, Natural Language Processing, Image Processing and many more.
    In the lecture we go through data related domains and roles in industry as well as desired skills and knowledge.
    A second part will describe few text analysis examples, from Machine Learning to Near Duplicates problem.
  • June 6, 2017
    THE GARSIDE GROUPS AND SOME OF THEIR PROPERTIES
    Dr. Fabienne Chouraqui, Oranim College, Israel

    Abstract
    Garside groups have been first introduced by P Dehornoy and L.Paris in 1990. In many aspects, Garside groups extend braid groups and more generally finite-type Artin groups. These are torsion-free groups with a word and conjugacy problems solvable, and they are groups of fractions of monoids with a structure of lattice with respect to left and right divisibilities. It is natural to ask if there are additional properties Garside groups share in common with the intensively investigated braid groups and finite-type Artin groups. In this talk, I will introduce the Garside groups in general, and a particular class of Garside groups, that arise from certain solutions of the Quantum Yang Baxter equation. I will describe the connection between these theories arising from different domains of research, present some of the questions raised for the Garside groups and give some partial answers to these questions.
  • June 1, 2017
    Multi-point Schwarz-Pick lemma and its applications
    Prof. Toshiyuki Sugawa, Tohoku University, Japan

    Abstract
    A multi-point Schwarz-Pick lemma was first asserted by Beardon and Minda in their 2004 paper published in J. Anal. Math. We deduce several useful inequalities from the lemma and apply them to Geometric Function Theory. For instance, we obtain a sharp coefficient inequality for analytic self-maps of the unit disk with a prescribed fixed point.
  • May 9, 2017
    Quadrature Domains and Conformal Mappings
    Prof. Lavi Karp, ORT Braude College, Israel

    Abstract
    Newton showed that a ball with uniformly mass density gravitational attracts each point outside the ball as if all its mass were concentrated at the center of the ball (\textit{Philosophiæ Naturalis Principia Mathematica}). This property is equivalent to the mean value theorem of harmonic functions. Quadrature domains are a certain generalization of these properties.
    The talk will present examples of quadrature domains and discuss the construction of them by means of conformal mappings. We will also explore the Schwarz functions and some of its applications. The lecture will be held in introductory level and be accessible for students with background complex analysis.
  • April 18, 2017
    The Metric Dimension Problem
    Ron Adar, Department of Computer Science (PhD student), University of Haifa, Department of Mathematics, Israel

    Abstract
    Distances have significant roles in many optimization problem (both in theory and in "real life"). In this talk, I will present the metric dimension problem (and its weighted variant) which is an example of distances related graph optimization problem, and describe our work on calculating it on some specific graph classes. No previous background is required. Joint work with Leah Epstein.
  • March 21, 2017
    European Modelling Weeks and Study Groups with Industry
    Dr. Aviv Gibali, ORT Braude College, Israel

    Abstract
       The Mathematics for Industry Network (MI-NET) is a COST Action funded project which aims to facilitate more effective widespread application of mathematics to all industrial sectors, by encouraging greater interaction between mathematicians and industrialists. Two major activities are the Modelling Weeks and the Industrial Work shops.
       These events are week-long problem solving workshops, which provide a unique opportunity for interaction between mathematicians, statisticians, applied and computational scientists and industry. They bring together PhD Students, postdocs and professors to work intensively on real and diverse world problems.
       Since we plan to host a Modelling Week at the beginning of July 2017, in this presentation I wish to share some of my impressions regarding the industry problems we successfully approached in the last two Industrial Workshops I attended, the 118th and the 25th European Study Group with Industry (Dublin, Ireland, 4-8 July 2016, and Limassol, Cyprus, 5-9 December 2016).
  • February 6, 2017
    Modelling of the disease spread using cellular automaton computer simulations
    Prof. Jaroslav Ilnytskyi, Institute for Condensed Matter Physics of the National Academy of Sciences, Ukraine

    Abstract
    By means of the asynchronous cellular automata algorithm we study stationary states and spatial patterning in an SIS model, in which the individuals are attached to the vertices of a graph and their mobility is mimicked by varying the neighbourhood size q. Here we consider the following cases: q is fixed at certain value; and q is taken at random at each step and for each individual. The obtained numerical data are then mapped onto the solution of its version, corresponding to the limit q->infinity. This allows for deducing an explicit form of the dependence of the fraction of infected individuals on the curing rate. A detailed analysis of the appearance of spatial patterns of infected individuals in the stationary state is performed. We also consider a generalisation of this approach towards the model with multi-drug-resistant carriers and discuss future generalisations of the model to the case of the individuals on various types of networks.