Computational Interactions between Algebra, Combinatorics, and Discrete Geometry - IPAM

Computational Interactions between Algebra, Combinatorics, and Discrete Geometry

February 10 - 14, 2025

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, February 10, 2025

Morning Session

08:00-08:55
Check-In/Breakfast (Hosted by IPAM)
08:55-09:00
Welcome and Opening Remarks
MODERATOR: Andrés R. Vindas Meléndez
09:00-09:50
Galen Dorpalen-Barry (Texas A&M University - College Station)
Yoshinaga's Criteron & the Topology of a Complexified Complement of a Real Arrangement
10:00-10:15
Break
10:15-11:05
Open Problem Sessions
11:15-11:30
Break
11:30-12:20
Federico Castillo (Pontificia Universidad Católica de Chile)
Minkowski bases of type cones

Afternoon Session

12:30-14:30
Lunch (on your own)
MODERATOR: Andrés R. Vindas Meléndez
14:30-15:20
Anton Dochtermann (Texas State University - San Marcos)
Interval complexes, linear resolutions, and spaces of digraph maps
15:30-16:00
Break
16:00-17:15
Lightning Introductions
17:15-18:30
Poster Session & Reception (Hosted by IPAM)

Tuesday, February 11, 2025

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
MODERATOR: Selvi Kara
09:00-09:50
Ayah Almousa (University of South Carolina)
Stirling numbers and Koszul algebras with symmetry
10:00-10:15
Break
10:15-11:05
Sarah Brauner (Brown University)
Symmetries of rings from hyperplane arrangements
11:15-11:30
Break
11:30-12:20
Benjamin Braun (University of Kentucky)
Facets of Symmetric Edge Polytopes: Clustering, Degree Sequences, and Graphs with Few Edges

Afternoon Session

12:30-14:30
Lunch (on your own)
MODERATOR: Selvi Kara
14:30-15:20
Bennet Goeckner (University of San Diego)
Vertex order shellings
15:30-16:00
Break
16:00-17:00
Collaboration Time

Wednesday, February 12, 2025

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
MODERATOR: Andrés R. Vindas Meléndez
09:00-09:50
Martina Juhnke (Universität Osnabrück)
Algebra, Geometry and Combinatorics of Cosmological polytopes
10:00-10:15
Break
10:15-11:05
Akiyoshi Tsuchiya (Toho University)
Interactions between commutative algebra and graph coloring theory
11:15-11:30
Break
11:30-12:20
Luis Ferroni (Institute for Advanced Study)
The polytope of all matroids.

Afternoon Session

12:30-12:30
Group Photo
12:30-14:30
Lunch (on your own)
MODERATOR: Andrés R. Vindas Meléndez
14:30-15:20
Sonja Petrovic (Illinois Institute of Technology)
Probability and Randomness in Nonlinear Algebra
15:30-16:00
Break
16:00-17:00
Colleen Robichaux (University of California, Los Angeles (UCLA))
Deciding positivity of Schubert coefficients

Thursday, February 13, 2025

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
MODERATOR: Dan Erman
09:00-09:50
Laura Escobar (University of California, Santa Cruz)
Families of degenerations from mutations of polytopes
10:00-10:15
Break
10:15-11:05
Michael DiPasquale (New Mexico State University)
Generalized Hamming weights and symbolic powers of Stanley-Reisner ideals of matroids
11:15-11:30
Break
11:30-12:20
Anastasia Chavez (Saint Mary's College of California)
The valuation polytope on height two posets

Afternoon Session

12:30-14:30
Lunch (on your own)
MODERATOR: Dan Erman
14:30-15:20
Irem Portakal (Max-Planck Institute for Mathematics in the Sciences)
Combinatorics of equilibria in game theory
15:30-16:00
Break
16:00-16:50
Jonathan Montaño (Arizona State University)
Presburger modules: quasipolynomial and tameness
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