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東京名古屋代数セミナー
過去の記録 ～04/30｜次回の予定｜今後の予定 05/01～
| 担当者 | 阿部 紀行、Aaron Chan、伊山 修、行田 康晃、中岡 宏行、高橋 亮 |
|---|---|
| セミナーURL | http://www.math.nagoya-u.ac.jp/~aaron.chan/TNAseminar.html |
2023年10月12日(木)
10:30-12:00 オンライン開催
任 鑫 氏 (関西大学)
q-deformed rational numbers, Farey sum and a 2-Calabi-Yau category of A_2 quiver (English)
http://www.math.nagoya-u.ac.jp/~aaron.chan/TNAseminar.html
任 鑫 氏 (関西大学)
q-deformed rational numbers, Farey sum and a 2-Calabi-Yau category of A_2 quiver (English)
[ 講演概要 ]
Let q be a positive real number. The left and right q-deformed rational numbers were introduced by Bapat, Becker and Licata via regular continued fractions, and the right q-deformed rational number is exactly q-deformed rational number considered by Morier-Genoud and Ovsienko, when q is a formal parameter. They gave a homological interpretation for left and right q-deformed rational numbers by considering a special 2-Calabi–Yau category associated to the A_2 quiver.
In this talk, we begin by introducing the above definitions and related results. Then we give a formula for computing the q-deformed Farey sum of the left q-deformed rational numbers based on the negative continued fractions. We combine the homological interpretation of the left and right q-deformed rational numbers and the q-deformed Farey sum, and give a homological interpretation of the q-deformed Farey sum. We also apply the above results to real quadratic irrational numbers with periodic type.
[ 講演参考URL ]Let q be a positive real number. The left and right q-deformed rational numbers were introduced by Bapat, Becker and Licata via regular continued fractions, and the right q-deformed rational number is exactly q-deformed rational number considered by Morier-Genoud and Ovsienko, when q is a formal parameter. They gave a homological interpretation for left and right q-deformed rational numbers by considering a special 2-Calabi–Yau category associated to the A_2 quiver.
In this talk, we begin by introducing the above definitions and related results. Then we give a formula for computing the q-deformed Farey sum of the left q-deformed rational numbers based on the negative continued fractions. We combine the homological interpretation of the left and right q-deformed rational numbers and the q-deformed Farey sum, and give a homological interpretation of the q-deformed Farey sum. We also apply the above results to real quadratic irrational numbers with periodic type.
http://www.math.nagoya-u.ac.jp/~aaron.chan/TNAseminar.html
