March 6, 2019
4:10PM - 5:10PM
Cockins Hall 228
Add to Calendar
2019-03-06 17:10:00
2019-03-06 18:10:00
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
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
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
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".