April 4, 2019
3:00PM - 4:00PM
Math Building 317
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2019-04-04 15:00:00
2019-04-04 16:00:00
Geometry, Combinatorics and Integrable Systems Seminar - Fu Liu
Title: Combinatorics of nested Braid fans
Speaker: Fu Liu (University of California Davis)
Abstract: Generalized permutohedra are defined as polytopes obtained from usual permutohedra by moving facets without passing vertices; or equivalently they are polytopes whose normal fan coarsens the Braid fan. We wanted to generalize this construction by allowing "passing some vertices". In joint work with Castillo, we consider a refinement of the Braid fan, called the nested Braid fan, and construct generalized nested permutohedra which have the nested Braid fan refining their normal fan. We extend many results on generalized permutohedra to this new family of polytopes.
Seminar URL: https://research.math.osu.edu/gcis/
Math Building 317
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2019-04-04 15:00:00
2019-04-04 16:00:00
Geometry, Combinatorics and Integrable Systems Seminar - Fu Liu
Title: Combinatorics of nested Braid fans
Speaker: Fu Liu (University of California Davis)
Abstract: Generalized permutohedra are defined as polytopes obtained from usual permutohedra by moving facets without passing vertices; or equivalently they are polytopes whose normal fan coarsens the Braid fan. We wanted to generalize this construction by allowing "passing some vertices". In joint work with Castillo, we consider a refinement of the Braid fan, called the nested Braid fan, and construct generalized nested permutohedra which have the nested Braid fan refining their normal fan. We extend many results on generalized permutohedra to this new family of polytopes.
Seminar URL: https://research.math.osu.edu/gcis/
Math Building 317
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Combinatorics of nested Braid fans
Speaker: Fu Liu (University of California Davis)
Abstract: Generalized permutohedra are defined as polytopes obtained from usual permutohedra by moving facets without passing vertices; or equivalently they are polytopes whose normal fan coarsens the Braid fan. We wanted to generalize this construction by allowing "passing some vertices". In joint work with Castillo, we consider a refinement of the Braid fan, called the nested Braid fan, and construct generalized nested permutohedra which have the nested Braid fan refining their normal fan. We extend many results on generalized permutohedra to this new family of polytopes.
Seminar URL: https://research.math.osu.edu/gcis/
