*Please note this event will be online only. Details on how to connect to the zoom meeting will be sent to registered participants prior to the start of the winter school*
This course, led by Meera Sitharam, will feature a number of lecturers and cover kinematics and those aspects of real algebraic geometry relevant to geometric constraint systems. The course should be accessible to any graduate student in mathematics and the only background assumed will be in basic linear algebra, Euclidean geometry and commutative algebra.
This is a 3-credit, semester long graduate course offered in Spring 2021 as part of the Fields Institute Thematic Program on Geometric Constraint Systems.
The course is free and open to all graduate students worldwide. Prerequisites for the course are: a proof-based, upper-division, undergraduate course in discrete mathematics, basic exposure to algorithms and complexity and mathematical maturity. Registration is through the above Fields institute link. Course credit is available through participating institutions.
Grading will be S/U, and likely based on preparing, critiquing and editing high quality lecture notes, Wikipedia articles of key topics, and/or a substantial project (paper and presentation) that can be theory or software-implementation based. Active class participation is also encouraged.
The tentative meeting times for the course are Tuesday 10am-Noon (with a 20min break), and Thursday 10am-11am. Please check the Fields course website for the final, formal schedule. However, the first two weeks of the course will include guest lectures on several of these topics. Additionally, the course will cross-coordinate with the winter school,companion graduate course on combinatorial rigidity, distinguished lectures, and selected other lectures during workshops and other events that will run in parallel during this Fields thematic program.
Geometric constraint systems are polynomial systems that underlie discrete structures arising in diverse pure and applied mathematical areas including algorithmic foundations. They are also widely employed in modeling and design in the sciences and engineering, from kinematics, robotics, molecular and materials modeling, computer aided mechanical design, and virtual reality.
This course concerns the principles of geometric constraint systems, and will touch briefly upon applications.
The course will use both mathematical and algorithmic foundational perspectives for analyzing geometric constraint systems and their solutions; and for solving them.
The course will employ diverse techniques from combinatorial rigidity, graphs and matroids, complexity theory, discrete geometry, real algebraic geometry, and convex and distance geometry.
Most of the material to be covered will come from the Instructor's recently edited volume Handbook of Geometric Constraint Systems Principles (not a required textbook for the course), her previous lecture notes ( here,hereandhere), some of her research articles and relevant others.
Meera Sitharam, University of Florida
|Salih Abdalla||National Industrial Training Institute|
|Josean Albelo-Cortes||University of Texas at Dallas|
|Amine Bahayou||Kasdi Merbah University|
|Daniel Bernstein||The Fields Institute|
|Zhongzhu Chen||University of Michigan, Ann Arbor|
|Katie Clinch||The University of Tokyo|
|Artorix de la Cruz||Dalhousie University|
|Matteo Gallet||International School for Advances Studies (SISSA)|
|Matthew Giamou||University of Toronto|
|Georg Grasegger||Fields/Johann Radon Institute for Computational and Applied Mathematics (RICAM)|
|Hakan Güler||Kastamonu University|
|Alexander Heaton||The Fields Institute|
|John Hewetson||Lancaster University|
|Aditya Kapilavai||Technical University of Vienna|
|Alexander Kolpakov||Université de Neuchâtel|
|Jan Legerský||Czech Technical University in Prague|
|Signe Lundqvist||Umeå University|
|Oleg Makarenkov||University of Texas at Dallas|
|Filip Maric||University of Toronto|
|Michael Milgram||Geometrics Unlimited, Ltd.|
|Fatemeh Mohammadi||Ghent University|
|Constant Mori||University of Toronto|
|Harshit J Motwani||Ghent University|
|Abhilash Nayak||Ecole Centrale de Nantes|
|Eran Nevo||The Hebrew University of Jerusalem|
|Tony Nixon||Lancaster University|
|Ryoshun Oba||The University of Tokyo|
|Johnson Oyero||Università degli studi dell'Aquila|
|Boyuan Pang||University of Victoria|
|Rahul Prabhu||University of Florida|
|Arvin Rasoulzadeh||Institute for discrete mathematics and geometry|
|Andrew Sainsbury||Lancaster University|
|Rahul Sethi||Indian Institute of Technology, Kanpur|
|Qays Shakir||Middle Technical University|
|William Sims||University of Florida|
|Meera Sitharam||University of Florida|
|Shin-ichi Tanigawa||The University of Tokyo|
|Simion Tarabykin||The Hebrew University of Jerusalem|
|Will Traves||U.S. Naval Academy|
|Brinda Venkataramani||McMaster University|
|Amit Verma||University of Florida|
|Sarah Vollmer||York University|
|Rupei Xu||University of Texas at Dallas|
|Vsevolod Yashin||Moscow Institute of Physics and Technology|