qsms.math.snu.ac.kr - [SNU Number Theory Seminar 2022-11-04] Approximations with mod 2 congruence conditions

Extra Form
일정시작	2022-11-04
일정종료	2022-11-04
배경색상	#FF5733

일정시작

2022-11-04

일정종료

2022-11-04

배경색상

#FF5733

Date : 2022-11-04 (Fri) 16:00 ~ 17:00
Place : 27-325 (SNU)
Speaker : Lee, Seul Bee / 이슬비 (IBS-CGP)
Title : Approximations with mod 2 congruence conditions
Abstract :

In the study of Diophantine approximation, a natural question is which rationals p/q minimize |qx-p| with a bounded condition over q. We call such rationals the best approximations. The regular continued fraction gives an algorithm generating the best approximations. From a general perspective, we are interested in the best approximations with congruence conditions on their numerators and denominators. It is known that the continued fraction allowing only even integer partial quotients generates the best approximations whose numerator and denominator have different parity. In this talk, we explain the connection between the best approximations and the Ford circles. Then we explain how we can induce continued fraction algorithms that give the best approximating rationals with congruence conditions of modulo 2. This is joint work with Dong Han Kim and Lingmin Liao.

List of Articles
번호	제목	글쓴이	날짜	조회 수
공지	QSMS Mailing List Registration	qsms	2021.09.09	36971
117	[QSMS-BK21 Symplectic Seminar 28 Apr] PGL(2,Q_p)-ORBIT CLOSURES ON A p-ADIC HOMOGENEOUS SPACE OF INFINITE VOLUME	qsms	2023.05.12	17910
116	[QSMS Seminar 2023-05-17] Affinizations, R-matrices and reflection functors	qsms	2023.05.04	18742
115	[QSMS Monthly Seminar 2023-04-21] Lagrangian submanifolds and their Legendrian lifts	qsms	2023.04.21	16297
114	[SNU Number Theory Seminar 2 June] A refined Tamagawa number conjecture for modular forms	qsms	2023.04.20	16262
113	[SNU Number Theory Seminar 21 Apr] Selberg's central limit theorem of L -functions near the critical line	qsms	2023.04.20	19101
112	[SNU Number Theory Seminar 14 Apr] Homological interpretation of Hecke $L$-values over real quadratic fields	qsms	2023.03.31	20627
111	[QSMS Monthly Seminar 2023-03-24] Rational points on abelian varieties	qsms	2023.03.24	20898
110	[QSMS-BK21 Symplectic Seminar 10 Mar] Mirror Symmetry for Log Calabi-Yau Surfaces	qsms	2023.03.09	20565
109	[SNU Number Theory Seminar 31 Mar] Height gap theorem and almost law	qsms	2023.03.02	21209
108	[SNU Number Theory Seminar 6 ~ 7 Feb] Prismatic F-crystals and applications to p-adic Galois representations	qsms	2023.02.13	20376
107	[Series of lectures 2/21, 2/23, 2/28] An introduction to geometric representation theory and 3d mirror symmetry	qsms	2023.02.02	19153
106	[2022 Global KMS International Conference 10/19 ~ 10/21] Related talks	qsms	2023.01.05	20840
105	[QSMS 집중강연 Representation theory 2023-02-13] Mini-course on quantum symmetric pairs II	qsms	2023.01.05	17945
104	[QSMS 집중강연 Representation theory 2023-02-07] Mini-course on quantum symmetric pairs I	qsms	2023.01.03	16777
103	[QSMS Geometry Seminar 20221230] Morphism spaces between coisotropic A-branes	qsms	2022.12.27	17263
102	[QSMS Monthly Seminar 2022-12-02] Extended crystal structures of Hernandez-Leclerc categories	qsms	2022.12.02	17713
101	[SNU Number Theory Seminar 2022-12-02] Torsion points and concurrent exceptional curves on del Pezzo surfaces of degree one	qsms	2022.11.28	17976
100	[QSMS-BK21 Symplectic Geometry Seminar 2022-12-09] Introduction to Floer Homotopy: Formal Groups and Complex Cobordism	qsms	2022.11.28	18284
99	[QSMS Seminar 2022-12-2] N=2 supersymmetric W algebras from Hamiltonian reduction	qsms	2022.11.25	16480
98	[QSMS Monthly Seminar 2022-10-28] Oscillator representations of quantum affine algebras	qsms	2022.10.30	17534

글쓴이

공지

QSMS Mailing List Registration