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Topology Seminar - Ben McMillan

Ben McMillan
March 6, 2019
4:10PM - 5:10PM
Cockins Hall 228

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Add to Calendar 2019-03-06 16:10:00 2019-03-06 17:10:00 Topology Seminar - Ben McMillan Title: Some applications of algebra to PDE Speaker: Ben McMillan (Stony Brook University) Abstract: After defining exterior differential systems and describing how they are equivalent to PDE, I will indicate how they can be used to answer questions about PDE using homological algebraic tools. For example, the existence of solutions to overdetermined PDE can be reduced to a cohomological dimension count. For another example, there is a spectral sequence that computes the space of conservation laws of a PDE. I will attempt to describe how these provide obstructions to solutions "up to homotopy". Cockins Hall 228 Department of Mathematics math@osu.edu America/New_York public

Title: Some applications of algebra to PDE

SpeakerBen McMillan (Stony Brook University)

Abstract: After defining exterior differential systems and describing how they are equivalent to PDE, I will indicate how they can be used to answer questions about PDE using homological algebraic tools. For example, the existence of solutions to overdetermined PDE can be reduced to a cohomological dimension count. For another example, there is a spectral sequence that computes the space of conservation laws of a PDE. I will attempt to describe how these provide obstructions to solutions "up to homotopy".

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