April 3, 2025
3:00 pm
-
4:00 pm
Math Tower (MW) 152
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2025-04-03 15:00:00
2025-04-03 16:00:00
Homotopy Theory Seminar - Ben Ward
Ben WardBowling Green State UniversityTitleRepresentation Stability for Marked Graph ComplexesAbstractWe prove a representation stability result for graph complexes with a distinguished vertex, and show how chains realizing this sharp bound represent graph homology classes which are necessarily non-trivial. This result may be interpreted as a higher genus generalization of Hersh and Reiner's sharp stability bound for configuration spaces of points in odd dimensional Euclidean space, and we will spend some time recalling their result to make this analogy concrete.For More Information About the Seminar
Math Tower (MW) 152
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America/New_York
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Date Range
2025-04-03 15:00:00
2025-04-03 16:00:00
Homotopy Theory Seminar - Ben Ward
Ben WardBowling Green State UniversityTitleRepresentation Stability for Marked Graph ComplexesAbstractWe prove a representation stability result for graph complexes with a distinguished vertex, and show how chains realizing this sharp bound represent graph homology classes which are necessarily non-trivial. This result may be interpreted as a higher genus generalization of Hersh and Reiner's sharp stability bound for configuration spaces of points in odd dimensional Euclidean space, and we will spend some time recalling their result to make this analogy concrete.For More Information About the Seminar
Math Tower (MW) 152
America/New_York
public
Ben Ward
Bowling Green State University
Title
Representation Stability for Marked Graph Complexes
Abstract
We prove a representation stability result for graph complexes with a distinguished vertex, and show how chains realizing this sharp bound represent graph homology classes which are necessarily non-trivial. This result may be interpreted as a higher genus generalization of Hersh and Reiner's sharp stability bound for configuration spaces of points in odd dimensional Euclidean space, and we will spend some time recalling their result to make this analogy concrete.
