Workshop on Integer Partitions

21/05/2018-25/05/2018

  • Tarih: May 21-25, 2018 (Arrival to the Village: 20 May 2018, departure from the Village: 25 May 2018)
  • Amaç: To introduce the audience to the integer partitions research, classical and brand new. The topics of the workshop will be self contained and no previous knowledge will be required. We are only requiring the participants` willingness to learn new ideas. This workshop is suitable for any audience that is at least at the level of an upper undergraduate at mathematics.
  • Hedef Kitle: Upper undergraduate or Graduate student with basic mathematical maturity and a strong interest in integer partitions.
  • Kontenjan: 20 kişi
  • Ücret: The fee is 625 TL for dormitories. This covers accomodation, four meals a day and all the facilities that the Village offer. If you need financial support please write it to application form.
  • Monday
    08:30-10:00 AU: Introduction to the theory of partitions and q-series, Ferrers diagrams and other representations, Rogers-Ramanujan and EPNT
    10:30-12:00 KK: Introduction to partitions, and elementary q-series identities
    14:30-16:00 CJS: Introduction to congruences for q-series and partition functions
    16:30-18:00 ZZ: Introduction to MacMahon`s Partition Analysis and it`s algorithmic versionsTuesday
    08:30-10:00 ZZ: The Geometry of Partition Analysis
    10:30-12:00 AU: A more combinatorial approach to partitions, Stanley Weights and 4-decorated Ferrers diagrams. Weighted partition identities
    14:30-16:00 KK: elementary q-series identities
    16:30-18:00 CJS: More on partitions congruences; the rank and crank of partitions

    Wednesday
    08:30-10:00 CJS: Bailey`s Lemma and Bailey pairs
    10:30-12:00 KK: Functional equations and Rogers-Ramanujan identities
    14:30-16:00 AU: More on weighted partition identities
    16:30-18:00 ZZ: Plane Partitions and Applications

    Thursday
    08:30-10:00 CJS: Continuing with Bailey`s Lemma
    10:30-12:00 KK: Rogers-Ramanujan-Gordon identities and generalizations
    14:30-16:00 ZZ: Geometry of Partitions and Bijections
    16:30-18:00 AU: More on weighted partition identities and partition inequalities

    Friday
    08:30-10:00 AU: More on weighted partition identities and partition inequalities
    10:30-12:00 KK: A different approach to Rogers-Ramanujan-Gordon generalizations
    14:30-16:00 ZZ: Geometry of Partition Inequalties? Open Problems
    16:30-18:00 CJS: Generalizing ranks and cranks to other partition functions

    UA: Ali Kemal Uncu
    CJS: Christopher Jennings-Shaffer
    KK: Kağan Kurşungöz
    ZZ: Zafeirakis Zafeirakopoulos