layout: session title: “ICMS 2024 - Session 12: Polyhedral geometry and combinatorics</b>” —

Organizers

Aim and Scope

This session covers new developments in computational combinatorics and polyhedral geometry. Particular topics include (but are not limited to) computational methods and new software developed in:

The aim of the session is to bring together researchers in different areas of polyhedral and tropical geometry and combinatorics, but also users of different software systems. Details about important implementation techniques are particularly encouraged!

Schedule

Time     Tuesday Wednesday
9.00 - 10.00 Plenary Talk Plenary Talk
10.00 - 10.30 Coffee Coffee
10.30 - 11.00 Secondary fans of hypersimplices and finite metric spaces (Casabella)  
11.00 - 11.30 Checking regularity on the flip graph of triangulations (Kastner)  
11.30 - 12.00 Cross-ratios and perfect matchings (Silversmith)  
12.30 - 13.00 Counting Tropical Curves in P1xP1: Computation & Polynomiality Properties (Corey)  
12.30 - 13.30 Lunch  
13.30 - 14.00 Quantum Automorphism Groups of Matroids (Wack) Scalable Methods for Tropical Scaling (Radulescu)
14.00 - 14.30 q-Matroids in Julia/Oscar (Degen) Application of dynamic decomposition for tropical prevarieties to celestial mechanics (Jensen)
14.30 - 15.00 Singular Matroid Realization Spaces (Luber) Generalising Tropical Homotopies towards Tropical Intersection Products (Daisey)
15.00 - 15.30 Divisors on Metric Graphs (Saillez) Eigenvalue Methods for Sparse Tropical Polynomial Systems (Béreau)
15.30 - 16.00 Coffee Coffee

Abstracts of Accepted Talks

Eigenvalue Methods for Sparse Tropical Polynomial Systems

Secondary fans of hypersimplices and finite metric spaces

Counting Tropical Curves in P1xP1: Computation & Polynomiality Properties

Generalising Tropical Homotopies towards Tropical Intersection Products

q-Matroids in Julia/Oscar

Application of dynamic decomposition for tropical prevarieties to celestial mechanics

Checking regularity on the flip graph of triangulations

Singular Matroid Realization Spaces

Scalable Methods for Tropical Scaling

Divisors on Metric Graphs

Cross-ratios and perfect matchings

Quantum Automorphism Groups of Matroids

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