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행사명 [경북대학교 수학교육과 집중강연시리즈] Introduction to Orthogonal Polynomials
행사일자 2024-12-27 ~ 2024-12-28
장소 경북대학교 대구캠퍼스 자연과학대학 102호
링크주소 https://geometry.knu.ac.kr/conferences/KNUMILS/Introduction_to_Orthogonal_Polynomials/
내용

KNU Mathematics Intensitve Lecture Series

Introduction to Orthogonal Polynomials

given by

Prof. Jang Soo Kim (Sungkyunkwan University)

November 29–30, December 27–28, 2024

Abstract

Orthogonal polynomials are classical objects arising from the study of continued fractions. They have become an important subject in many areas of mathematics including analysis, probability, mathematical physics, random matrix theory, and combinatorics to name a few. In these lectures, we will learn fascinating combinatorial properties of orthogonal polynomials.

Lectures

November 29(Fri)

  1. Lecture 1. Introduction to orthogonal polynomials, 10:00 – 11:30
  2. Lecture 2. The moment functional, orthogonality, and existence of OPS, 14:00 – 15:30
  3. Lecture 3. The fundamental recurrence, 16:00 – 17:30

November 30(Sat)

  1. Lecture 4. Formal power series and generating functions, 10:00 – 11:30
  2. Lecture 5. Dyck paths and Motzkin paths, 14:00 – 15:30

December 27(Fri)

  1. Lecture 6. Set partitions, matchings, and permutations, 10:00 – 11:30
  2. Lecture 7. Combinatorial models for OPS, 14:00 – 15:30
  3. Lecture 8. Moments of classical orthogonal polynomials, 16:00 – 17:30

December 28(Sat)

  1. Lecture 9. Continued fractions, 10:00 – 11:30
  2. Lecture 10. Linearization coefficients, 14:00 – 15:30

Venue

Accommodation Suggestion

  • Hotel Inter-Burgo Exco (호텔 인터불고 엑스코)
  • Standard double room rate is about KRW120,000 – KRW150,000 as of Feb. 2024.
  • Breakfast is not included.
  • Distance from Venue : 40min. by walk (map), 30min. by bus and walk
  • Laonzena (호텔 라온제나)
  • Standard double room rate is about KRW100,000 – KRW150,000 as of Feb. 2024.
  • Breakfast is not included.
  • Distance from Venue : 40min. by bus and walk, 20min. drive
  • Browndot-KNU (브라운도트-경북대점)
  • Standard double room rate is about KRW80,000 – KRW120,000 as of Feb. 2024.
  • Breakfast is not included.
  • Distance from Venue : 15min. walk (map)

Contact

  • Byung Hee An (anbyhee_at_knu.ac.kr)

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