algebraic topology in dynamics, di˜erential equations and ...institute for mathematics and its...

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Institute for Mathematics and its Applications The IMA is an NSF-funded institute IMA Annual Thematic Program Workshop Description: Homological quantities provide robust computable invariants of dynamical systems, well-adapted to numerical methods. As a consequence, several groups have been actively implementing algebraic topological invariants to characterize the qualitative behavior of dynamical systems. Examples include tracking patterns of nodal domains, proving the existence of invariant sets in infinite-dimensional systems, and generating forcing theories for invariant sets based on topological indices. Extensions of Morse-theoretic ideas due to Conley (in the finite-dimensional setting) and Floer (in the infinite dimensional cases) are especially relevant and are active foci of current techniques in applied dynamical systems. This workshop will bring together researchers in topological methods with those working in differential equations and the physical sciences. www.ima.umn.edu/2013-2014/W2.10-14.14 Algebraic Topology in Dynamics, Differential Equations and Experimental Data February 10-14, 2014 Speakers: Elizabeth Bradley (University of Colorado) Sarah Day (College of William and Mary) Rafael de la Llave (Georgia Institute of Technology) Tomas Gedeon (Montana State University) Marian Gidea (Northeastern University) John L. Harer (Duke University) Christopher K. R. T. Jones (University of North Carolina) Miro Karmar (Rutgers University) Daniel E. Koditschek (University of Pennsylvania) Hiroshi Kokubu (Kyoto University) Marian Mrozek (Jagiellonian University) Yasunasa Nishiura (Tohoku University) Bob Rink (Vrije Univesiteit) Vanessa Robbins (Australian National University) Michael Schatz (Georgia Institute of Technology) Andrzej Szymcrak (Georgia Institute of Technology) Jean-Luc Thiffeault (University of Wisconsin, Madison) Antoinette Tordesillas (University of Melbourne) Jan Bouwe Van den Berg (Vrije University) Thomas Wanner (George Mason University) Organizers: Sarah Day (College of William and Mary) Konstantin Mischaikow (Rutgers University) Robertus C. A. M. Vandervorst (Vrije Univesiteit)

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Page 1: Algebraic Topology in Dynamics, Di˜erential Equations and ...Institute for Mathematics and its Applications The IMA is an NSF-funded institute ... (in the finite-dimensional setting)

___ Print Room and Phone List from Discovery

Print Room Phone List (for the week or month) and make copies for desk in 3-176.

Institute for Mathematics and its Applications

The IMA is an NSF-funded institute

IMA Annual Thematic Program Workshop

Description:Homological quantities provide robust computable invariants of dynamical systems, well-adapted to numerical methods. As a consequence, several groups have been actively implementing algebraic topological invariants to characterize the qualitative behavior of dynamical systems. Examples include tracking patterns of nodal domains, proving the existence of invariant sets in infinite-dimensional systems, and generating forcing theories for invariant sets based on topological indices. Extensions of Morse-theoretic ideas due to Conley (in the finite-dimensional setting) and Floer (in the infinite dimensional cases) are especially relevant and are active foci of current techniques in applied dynamical systems. This workshop will bring together researchers in topological methods with those working in differential equations and the physical sciences.

www.ima.umn.edu/2013-2014/W2.10-14.14

Algebraic Topology in Dynamics,Di�erential Equations and

Experimental Data

February 10-14, 2014

Speakers:Elizabeth Bradley (University of Colorado)

Sarah Day (College of William and Mary)

Rafael de la Llave (Georgia Institute of Technology)

Tomas Gedeon (Montana State University)

Marian Gidea (Northeastern University)

John L. Harer (Duke University)

Christopher K. R. T. Jones (University of North Carolina)

Miro Karmar (Rutgers University)

Daniel E. Koditschek (University of Pennsylvania)

Hiroshi Kokubu (Kyoto University)

Marian Mrozek (Jagiellonian University)

Yasunasa Nishiura (Tohoku University)

Bob Rink (Vrije Univesiteit)

Vanessa Robbins (Australian National University)

Michael Schatz (Georgia Institute of Technology)

Andrzej Szymcrak (Georgia Institute of Technology)

Jean-Luc Thi�eault (University of Wisconsin, Madison)

Antoinette Tordesillas (University of Melbourne)

Jan Bouwe Van den Berg (Vrije University)

Thomas Wanner (George Mason University)

Organizers:Sarah Day (College of William and Mary)

Konstantin Mischaikow (Rutgers University)

Robertus C. A. M. Vandervorst (Vrije Univesiteit)