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SIAM SAGA - Seminar on Applied Geometry and Algebra
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Date: Tuesday, November 16 at 11:00am Eastern

Speaker: Jonathan Hauenstein, University of Notre Dame

Title: Some applications of homotopy continuation in science and engineering

Abstract: Homotopy continuation is a foundational computational approach in numerical algebraic geometry which permits the tracking of solutions to parameterized systems of nonlinear equations. In science and engineering applications, parameters such as temperature, pressure, and leg lengths naturally arise and changing such parameters can impact both the qualitative and quantitative behavior of the corresponding solutions. This talk will provide an overview of homotopy continuation followed by several applications of homotopy continuation including equilibria in chemistry, kinematic synthesis in mechanical engineering, and variational inference for parameter estimation in biological models.
Dec 7, 2021 11:00 AM
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Speakers

Avi Wigderson
@Institute for Advanced Study
Avi Wigderson received a Ph.D in Computer Science from Princeton University and a B.Sc from Technion, Haifa, Israel. His research interests are Computational Complexity Theory, Algorithms and Optimization, Randomness and Cryptography, Parallel and Distributed Computation, Combinatorics and Graph Theory, and Connections of CS theory with Math and Science. He has received numerous awards, including most recently the Abel, Knuth, and G ̈odel Prizes.