KIAS Combinatorics Workshop Series
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KIAS-AORC Joint Workshop
(The 17th KIAS Combinatorics Workshop)
will be held in KIAS on August 21-25, 2017.
(Main Organizers: Jang Soo Kim, Seunghyun Seo)


This workshop is organized as a special event "Summer School for Combinatorics".
 

 

  • Date: August 21-25 (Mon-Fri), 2017
  • Venue: KIAS 1503, Seoul
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  • Invited Speakers (Lecturers):
    Sang June Lee (Duksung Women's University)
    Soon-Yi Kang (Kangwon National University)
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  • Registration: If you want to participate in the workshop, please register at the registration page until Aug 6.
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  • Support:
  • (1) Meal: We provide all meals during the workshop to all participants.
  • (2) Accommodation:
    - If you want to participate in the workshop, please register at the below website by Aug 6th. We will support accommodations for 40 participants who register before August 3rd. We will make a reservation for you at one of KIAS accommodation facilities (residential hall, Haejung-sa) on the basis of first come, first served and Benikea Hotel KP(near Hoegi Station). Please notice that you may share a room with other participants. If you want to stay at one of KIAS accommodation facilities, then please check “YES” in the registration form.
    -For more information on accommodation facilities, please see Accommodation Page


 

  • Topics of Lectures
    • - Lecture (L) Sang Jun Lee (Duksung Women's University)
    • An Introduction to probabilistic methods
      확률론적인 방법론(Probabilistic methods)은 현대 조합론 분야의 연구결과와 증명방법에 있어서 중요한 역할을 하고 있다. 이 강연에서는 확률론적 방법론을 통해 얻을 수 있는 결과들에 대해 설명하고, 이를 조합론의 다양한 분야에 어떻게 적용할 수 있을 지에 대해 살펴보고자 한다. 구체적인 방법론으로서는 Markov’s inequality, Deletion method, Chebyshev’s inequality, Chernoff bound, Lovasz local lemma 등을 소개하고, 이 방법론들의 적용방법을 구체적인 예를 통해 설명고자 한다. 또한 연습문제 풀이 시간에 스스로 방법론을 적용하는 연습을 하고자 한다.



       
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    • - Lecture (K) Soon-Yi Kang (Kangwon National University)
  • Combinatorics in quantum modular forms
    A quantum modular form is a complex-valued function defined on some real numbers that satisfies a transformation property with respect to some modular group. We introduce this rather young subject of interest with various examples and its relation to mock modular forms, false theta functions, and basic hypergeometric series. The examples of quantum modular forms introduced here are generating functions of many intriguing combinatorial objects such as partitions, unimodal sequences, Fishburn numbers and etc.

    All lectures will be delivered in Korean.
     
    • Schedule (Click HERE for abstracts. # It contains 20+ blank pages.)

      [1st Day: Aug 21 (Mon)]
        • 13:00 ~ 13:15 Registration
        • 13:15 ~ 13:20 Opening address
        • 13:20 ~ 14:20 Introduction to probabilistic methods
        • 14:20 ~ 14:40 Coffee break
        • 14:40 ~ 15:40 Linearity of expectation
        • 15:40 ~ 17:00 Coffee break and preparing discussion session
        • 17:00 ~ 18:00 Discussion session
        • 18:00 ~ Welcome reception (Venusta Buffet at KIAS 1st floor)

      [2nd Day: Aug 22 (Tue)]
      • 09:40 ~ 10:40 Alteration
      • 10:40 ~ 11:00 Coffee break
      • 11:00 ~ 12:00 Second moment methods
      • 12:00 ~ 15:00 Lunch and preparing discussion session
      • 15:00 ~ 17:00 Discussion session
      • 17:00 ~ 18:00 Brief introductions of all participants
      • 18:00 ~ Dinner

    • [3rd Day: Aug 23 (Wed)]

    • 10:00 ~ 11:30 Combinatorics in quantum modular forms (I)
    • 11:30 ~ 13:30 Lunch
    • 13:30 ~ 15:00 Combinatorics in quantum modular forms (II)
    • 15:00 ~ 16:00 Coffee break and preparing discussion session
    • 16:00 ~ 17:00 Discussion session
    • 18:00 ~ Dinner

    • [4th Day: Aug 24 (Thu)]

    • 09:40 ~ 10:40 Lovasz local lemma
    • 10:40 ~ 11:00 Coffee break
    • 11:00 ~ 12:00 Strong concentration around the expectation
    • 12:00 ~ 15:00 Lunch and preparing discussion session
    • 15:00 ~ 17:00 Discussion session
    • 17:30 ~ Banquet (Venusta Buffet at KIAS 1st floor)

    • [5th Day: Aug 25 (Fri)]

    • 09:40 ~ 10:40 Concentration on Lipschitz functions (I)
    • 10:40 ~ 11:00 Coffee break
    • 11:00 ~ 12:00 Concentration on Lipschitz functions (II)
    • 12:00 ~ 15:00 Lunch and preparing discussion session
    • 15:00 ~ 17:00 Discussion session
    • 17:00 ~ 17:10 Closing address