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Student Talks 2018

Table of Contents

All expository talks given by students of ISI Bangalore in the year 2018 at our Math Club are listed below.

Fall 2018

EP1802: Introduction to Hardy Spaces #

  • Speaker: Dr. Muthukumar P. (Ph.D, 2019, ISI Chennai)
  • Abstract: We will start our discussion with some interplay between complex analysis and functional analysis. I will provide a very simple proof of “Cauchy Integral Formula” for analytic functions on closed unit disk, using the famous “Riesz Representation Theorem” from functional analysis. Then, we will move to introduction of Hardy spaces and its basic properties.
  • Pre-requisites: Elementary complex analysis and elementary functional analysis.
  • Date and Time: Saturday, 3rd November 2018, 3:00 PM
  • Venue: G-26 Classroom, Academic Building

EP1801: Algebraic Coding Theory #

  • Speaker: Shyambhu Mukherjee (B. Math, 2019)
  • Abstract: Communication channels and needs of coding – block codes, linear and non-linear, basic ideas– linear block codes, generator, parity check matrix, encoding decoding syndrome – main coding theory problem – explanation of main coding problem, discussion of basic bounds and mention of latest bounds found. If time is left, asymptotic bounds will be discussed here, followed by chapter on cyclic codes.
  • References:
    • Introduction to Coding Theory – Ron Roth
  • Pre-requisites:
    • Linear algebra basics
    • Basic notion of fields and probability
    • You can read Introduction to Coding Theory by Ron Roth, to get a basic idea of what we would be dealing with.