Graduate School on Braid Groups (Yvon Verberne)
In this workshop, our aim is to approach the study of the braid group using various topological and algebraic techniques. Topics will include introducing the braid group from various perspectives, the Artin presentation of the braid group, solving the word problem for the braid group, the Garside structure, the Nielsen Thurston Classification, and the Burau representation.
Description
This intensive graduate school will cover topics central to the Workshop on Interactions between Group Theory and Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.
Lecturer: Yvon Verberne
Schedule
| 10:00 to 11:00 |
Introducing the braid group
Yvon Verberne, University of Toronto and Western University |
| 11:30 to 12:30 |
Pure braid groups and the word problem
Yvon Verberne, University of Toronto and Western University |
| 10:00 to 11:00 |
The Artin presentation of the braid group
Yvon Verberne, University of Toronto and Western University |
| 11:30 to 12:30 |
Garside structure
Yvon Verberne, University of Toronto and Western University |
| 10:00 to 11:00 |
The Nielsen-Thurston Classification
Yvon Verberne, University of Toronto and Western University |
| 11:30 to 12:30 |
The Burau representation
Yvon Verberne, University of Toronto and Western University |
Registered Participants
| Name | Affiliation |
|---|---|
| Anshid Aboobacker | Birla Institute of Technology and Science |
| Abderrahim Adrabi | |
| Leonard Afeke | University of Toronto |
| Tala Alaa Eddine | Beirut Arab University |
| Omar Alvarado | Center for Research and Advanced Studies of the National Polytechnic Institute (CINVESTAV) |
| Kensuke Arakawa | Kyoto University |
| Emmanuel Asante | Louisiana State University |
| Samia Ashraf | GCWUS Pakistan |
| Danyal Azaz | University of Toronto |
| Anthony Bahri | Rider University |
| Luis Alejandro Barbosa Torres | Pontificia Universidad Javeriana |
| Samik Basu | Indian Statistical Institute, Kolkata |
| Sandipan Bhattacherjee | BIRLA INSTITUTE OF TECHNOLOGY MESRA, RANCHI |
| Rachael Boyd | University of Glasgow |
| Dylan Burke | University of Toronto |
| Tobin Carlton Van Buizen | Australia National University |
| Sean Carroll | Northeastern University |
| Himanshu Chaudhary | Albert-Ludwigs-Universitaet Freiburg |
| Sergio Chaves | Cornell University |
| Baichuan Chen | University of Utah |
| Sihao Chen | University of Toronto |
| Georgii Chernykh | NRU Higher School of Economics |
| Michael Davis | The Ohio State University |
| Lore De Weerdt | Katholieke Universiteit Leuven |
| Soumya Dey | Krea University |
| Maninder Dhanauta | McGill University |
| Briony Eldridge | University of Southampton |
| Ruslan Erdnigor | University of Toronto |
| Michael Farber | Queen Mary University of London |
| Chi-Kwong Fok | Xi'an Jiaotong-Liverpool University |
| William Gao | University of Toronto |
| Dominik Gdesz | University of Wroclaw |
| Ryan Gelnett | University at Albany |
| Sacha Goldman | University of Toronto |
| Tao Gong | Western University |
| jesus gonzalez | Cinvestav |
| Vladimir Gorchakov | Western University |
| Shuchita Goyal | Birla Institute of Technology and Science |
| Haoyang He | Memorial University |
| Joseph Hlavinka | University of California Berkeley |
| Satyanath Howladar | University of Florida |
| Hana Huber | CUNY Graduate Center |
| Elena Isasi Theus | University of Chicago |
| Leo Jiang | University of Toronto |
| Yoyo Jiang | Johns Hopkins University |
| Aarjav Jogani | |
| Sadok Kallel | American Univeristy of Sharjah |
| Krishnendu Kar | Louisiana State University |
| Andrzej Karolak | University of Wrocław |
| Abdul Khan | |
| Daisuke Kishimoto | Kyushu University |
| Ben Knudsen | Northeastern University |
| Luci Krnic | The Ohio State University |
| Nursultan Kuanyshov | SDU University |
| Indrajeet Kumar | Indian Institute of Science Education and Research, Thiruvananthapuram |
| Alexander Kupers | University of Toronto |
| Alex LaJeunesse | University of Colorado Boulder |
| Porfirio Leandro León Álvarez | Instituto de Matematicas UNAM |
| José Luis León Medina | Centro de Investigación en Matemáticas.(CIMAT) |
| Ran Levi | University of Aberdeen |
| Jiasen Liu | University of Southern California |
| Shane Liu | Toronto Metropolitan University |
| Yun Liu | Indiana University Bloomington |
| Zihao Liu | Rice University |
| Wenwen Li | St. Mary's College of Maryland |
| Cynthia Ma | |
| Mukhammadrizo Madjidov | University of Toronto |
| Josue Maldonado | Universidad de Guadalajara |
| sahin mandal | IIT Bombay |
| Clover May | NTNU Norwegian University of Science and Technology |
| Qicheng Mi | University of Toronto |
| EL MOKHTAR MOKKEDEM | Sorbonne University |
| Maria Morariu | University of Chicago |
| Marwa Mosallam | |
| Ramana Murugesan | University of Toronto |
| Suhasiny Naik | UC Irvine |
| Taeuk Nam | |
| Jakob Neumaier | University of Heidelberg |
| Barry Ngo | University of Ottawa |
| Urban Ogrinec | Faculty of Mathematics and Physics, University of Ljubljana |
| Sangrok Oh | University of the Basque Country |
| Cansu Özdemir | University of Toronto |
| Tamis Panagiotakis | University of Toronto |
| Lirui Pang | University of Toronto |
| Taras Panov | NRU Higher School of Economics |
| Gargi Patil | Louisiana State University |
| Andrea Pizzi | University Roma Tor Vergata |
| Elia Portnoy | Massachusetts Institute of Technology |
| Bo Rao | University Paris 13 |
| Safarul Rasheed | INDIAN INSTITUTE OF SCIENCE EDUCATION AND RESEARCH KOLKATA |
| Samuel Restoy | University of Oklahoma |
| Jorge Robinson Arrieta | University of Arkansas |
| Pratik Roy | Northeastern University |
| Vasilii Rozhdestvenskii | Steklov Mathematical Institute of Russian Academy of Sciences |
| Hajime Saeki | University of Toronto |
| Alejandro Saiz Millán | Universidad de Málaga (UMA) |
| Deepanshi Saraf | Indian Institute of Science Education and Research |
| Matthew Scalamandre | University of Toronto |
| Paul Selick | University of Toronto |
| Pieter Senden | |
| Alisa Senses | University of St Andrews |
| Kumar Sannidhya Shukla | Western University |
| Gunjeet Singh | Wayne State University |
| Kamil Śmietaniak | Adam Mickiewicz university in Poznan |
| Jongbaek Song | Pusan National University |
| Tse Leung So | University of Southampton |
| Lewis Stanton | University of Southampton |
| Jacob Taylor | University of Toronto |
| Stephen Theriault | University of Southampton |
| Yichen Tong | Westlake University |
| Mitsunobu Tsutaya | Kyushu University |
| Vahid Soleimany | vahid soleimani |
| Ivan Vasilev | Saint-Petersburg State University |
| Pravin Kumar Vellaisamy | IISER Mohali |
| Yvon Verberne | Western University |
| Fedor Vylegzhanin | NRU Higher School of Economics |
| Angela Wang | University of Chicago |
| Elon Wang | University of Toronto |
| YUYANG WANG | University of Toronto |
| W Stephen Wilson | Johns Hopkins University |
| Tsz Hin Wong | University of Toronto |
| Miguel Xicotencatl | Centro de Investigacion y de Estudios Avanzados del IPN |
| Shuhang Xue | University of Minnesota - Twin Cities |
| Simon Xu | University of Toronto |
| Xiaomeng Xu | Beijing Institute of Mathematical Sciences and Applications |
| Shiyu Yan | Leiden University |
| Sin Hang Jason Yeung | University of Toronto |
| Ze Yuan | National University of Singapore |
| Indira Zeinikesheva | University of Pittsburgh |
| Mingyang Zhou | Tufts University |
