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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
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Events
Conferences
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Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
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News
News
Announcement
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Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > Topics in Integrability Integrable boundary conditions for quad-graph systems
Integrable boundary conditions for quad-graph systems
Organizers
Anton Dzhamay , Xin Xing Tang , Li Wang
Speaker
Cheng Zhang
Time
Tuesday, May 9, 2023 2:00 PM - 4:00 PM
Venue
1131
Online
Zoom 388 528 9728 (BIMSA)
Abstract
I will first give an overview of some aspects of integrable quad-graph systems . This includes the notion of multi-dimensional consistency, classification results of quad-equations, connections to complex analysis. Then, I will show how to implement initial-boundary value problems for quad-graph systems. It relies on the notion of boundary consistency that defines integrable boundary conditions for quad-graph systems. I will also discuss classification of integrable boundary conditions; their Lax formulations; and the so-called open boundary reduction technique as a systematic means to construct integrable mappings. This talk is mainly based on [Caudrelier, Crampe, CZ, Sigma, 10(014), 2014], [Caudrelier, van der Kamp, CZ, IMRN, rnac207, 2021] and [Sun, CZ, IMRN, rnab188, 2022].
Beijing Institute of Mathematical Sciences and Applications
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