Mini Course: Meanders & Meandric systems - Jacopo Borga
April 3 - 12, 2024, The Fields Institute
Description
Meanders and meandric systems
In 1912 Henri Poincaré asked the following simple question: “In how many different ways can a simple loop in the plane, called a meander, cross a line a specified number of times?”
Despite many efforts, this question remains open after over a century. In the first part of the mini-course, I will present the conjectural scaling limit of uniform meanders and discuss some of its curious properties (both at the discrete and continuum levels).
The second part will examine a related model called meandric systems. A meandric system is a coupled collection of meanders. Also, in this case, I will present a conjecture describing the large-scale geometry of a uniform meandric system and several rigorous results consistent with this conjecture.
Lecture Notes:
https://www.jacopoborga.com/2024/04/04/mini-course-meanders-meandric-sys...
Participation Instruction:
Please join us online via the zoom link: https://zoom.us/j/97241819130
Schedule
| 14:00 to 15:30 |
Jacopo Borga, Stanford University Location:Fields Institute, Room 230 |
| 14:00 to 15:30 |
Jacopo Borga, Stanford University Location:Fields Institute, Room 230 |
| 15:00 to 16:30 |
Jacopo Borga, Stanford University Location:Fields Institute, Room 230 |
| 15:00 to 16:30 |
Jacopo Borga, Stanford University Location:Fields Institute, Room 230 |
Registered Participants
| Name | Affiliation |
|---|---|
| Bedros Afeyan | Polymath Research |
| Daniel Amankwah | University of Iceland |
| Gideon Amir | Bar-Ilan University, Israel |
| Ege Artan | University of Toronto |
| Ashok Kumar Aryal | Tribhuvan University |
| D Aryan | Indian Statistical Institute, Bangalore |
| M. Ali Asadi-Vasfi | University of Toronto |
| Sepideh Bahrami | Western University |
| Mortaza Baky Haskuee | The Fields Institute |
| Riddhipratim Basu | International Centre for Theoretical Sciences, TIFR |
| Babak Beheshti | Western University |
| Jason Behrstock | CUNY The Graduate Center |
| Aleksandra Beliaeva | Lomonosov Moscow State University |
| Manan Bhatia | |
| Nikolay Bogachev | University of Toronto |
| Santhana Krishnan Boopalan | Mississippi State University |
| Jacopo Borga | Stanford University |
| Dylan Burke | |
| Alexander Bykovsky | Arizona State University |
| Zhenhao Cai | Peking University |
| Pablo Carrasco | UFMG |
| Ritwik Chakraborty | Tata Institute of Fundamental Research |
| Lizhi Chen | Lanzhou university |
| Qiang Chen | Tongji University |
| Mikhail Chernavskikh | Steklov Mathematical Institute of Russian Academy of Sciences |
| Inhyeok Choi | |
| Yujie Dang | VU Amsterdam |
| Kajal Das | Indian Statistical Institute, Kolkata |
| Duncan Dauvergne | University of Toronto |
| Ana Saraí Dávila Martínez | Universidad Nacional Autónoma de México |
| Artorix de la Cruz | Dalhousie University |
| Lihuang Ding | Peking University |
| Minh Doan | National University of Singapore |
| Yuyang Feng | University of Chicago |
| Kai Fu | Institut de Mathématiques de Bordeaux |
| Xuesong Fu | Xiangtan University |
| Partha S Ghosh | Presidency University |
| Victor Ginsburg | University of California Berkeley |
| Gentleman Googoo | University of Ottawa |
| Chaowen Guan | University of Cincinnati |
| Itamar Halevy | |
| Malte Hassler | Cornell University |
| Jesús Hernández Hernández | Centro de Ciencias Matemáticas, UNAM |
| Xie Hongrui | University of Science and Technology of China |
| Liam Hughes | Aalto University |
| Henry Hu | University of Toronto |
| Reaz Huq | Toronto Metropolitan University |
| Chen Idan | |
| Arash Jamshidpey | |
| Yushan Jiang | CUNY Graduate Center |
| Muhammad Ahmad Kaleem | University of Toronto |
| Shashwat Kasliwal | Indian Institute of Technology Delhi |
| DaeCheol Kim | University of Illinois Urbana-Champaign |
| Nour Klikha | USTHB |
| Wonbong Koh | Koh Capital Management |
| Wai Yeung Lam | University of Luxembourg |
| Chunyi Lan | York University |
| Corentin Le Bars | Weizmann Institute of Science |
| Yongjin Lee | University of Illinois Urbana-Champaign |
| Andrew Lehmann | University of Toronto |
| Yucong Lei | U Michigan |
| Jason Lenderman | Rice University |
| Daniel Levitin | University of Wisconsin–Madison |
| Weiyan Lin | CUNY Graduate Center |
| Wenbo Li | Peking University |
| Wenxuan Li | Harvard University |
| Victor Hugo López Solís | Universidad Nacional de Barranca |
| Yanwen Luo | Simon Fraser University |
| Biao Ma | Technion - Israel Institute of Technology |
| Sid Maibach | Hausdorff Centre for Mathematics Bonn |
| Maryam Maleki | Isfahan University of Technology |
| Keivan Mallahi Karai | Jacobs University |
| Joshua Mamou | Tel Aviv University |
| Amaranta Martinez De La Rosa | University of Toronto |
| Didac Martinez Granado | University of Luxembourg |
| Krystal Maughan | University of Vermont |
| Xin Ma | |
| Mahan Mj | Tata Institute of Fundamental Research |
| Jose Morales | University of Texas at San Antonio |
| Yago Moreno Alonso | University of Bristol |
| Esmat Motaghi | Ferdowsi University of Mashhad |
| Mathav Murugan | University of British Columbia |
| Biswajit Nag | Tata Institute of Fundamental Research |
| Sanae Nhari | |
| Mark Olson | University of Chicago |
| J. E. Paguyo | McMaster University |
| Aaradhya Pandey | Princeton University |
| Minjae Park | University of Chicago |
| Oswaldo J. Portobanco | Polytechnic National University |
| Ming Qi | McMaster University |
| Kasra Rafi | University of Toronto |
| Temurbek Rahmatullaev | Lomonosov Moscow State University |
| Marjan Rajabi | QIAU |
| Beata Randrianantoanina | Miami University |
| Omid Rezania | York University |
| Alex Rodriguez | University of Toronto |
| Stephane Ruby | Universite de Bordeaux |
| PRABIR SAHA | University of Gour Banga |
| Tom Salisbury | York University |
| Ramkrishna Jyoti Samanta | McMaster University |
| Juspreet Singh Sandhu | University of California, Santa Cruz |
| Anish Sant | Texas A&M University |
| Satyam . | |
| Oliver Scott Pankratz | University of Toronto |
| Evyatar Sharoni | Technion - Israel Institute of Technology |
| Xianghui Shi | Peking University |
| Lin Shu | Peking University |
| Eduardo Silva | Ecole Normale Superieure, Paris |
| Gurnoor Singh | Prayag College |
| Alessandro Sisto | Heriot-Watt University |
| Wai Shing Tang | |
| Yiming Tang | University of Toronto |
| Yuefeng Tang | Wuhan University |
| Jenny Tou | University of Toronto |
| Sascha Troscheit | University of Oulu |
| Hunter Vallejos | University of Texas at Austin |
| Yannic Vargas | Institut für Diskrete Mathematik |
| William Verreault | University of Toronto |
| Balint Virag | University of Toronto |
| Angela Wang | |
| Yunlei Wang | Institut de Mathématiques de Bordeaux |
| James Wiles | Synaptech Solutions Ltd. |
| Catherine Wolfram | Massachusetts Institute of Technology |
| Mo Dick Wong | Durham University |
| Baojun Wu | bicmr |
| hongjin wu | ETH Zürich |
| Tianqi Wu | no affiliation |
| Xiaoxu Wu | The Fields Institute |
| Nuo Xu | University of Toronto |
| Ruochuan Xu | Stanford University |
| Jonguk Yang | Universität Zurich |
| Tingzhou Yu | University of Alberta |
| Xue Ji Zhao | University of Toronto |
| Reila Zheng | University of Toronto |
| Ping Zhong | University of Wyoming |
| Enting Zhu | |
| Guangyi Zou | University of Science and Technology of China |
| Ilona Zubrytska | Independent Researcher |
Organizing Committee
Jacopo Borga -
Stanford University
