Combinatorial Geometries 2018:
matroids, oriented matroids and applications

CIRM, Marseille-Luminy, France
September, Monday 24 - Friday 28, 2018


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SCHEDULE
(click on the title to get to the abstract)

Monday 24
8h45WELCOME
9hJames OXLEYA matroid extension result
9h25Csongor CSEHISufficient condition for almost irreducibility
9h50Rutger CAMPBELLRepresentable orientable matroids that are not real-representable
10h15Anna DE MIERApproximating clutters with matroids
10h40BREAK
11h05Jim LAWRENCEThe concatenation operation for uniform oriented matroids and simplicial (or simple) polytopes
11h30Jesus DE LOERATverberg-type theorems with altered (nerves) intersection patterns.
11h55Jürgen BOKOWSKIFrom a combinatorial input to a polyhedral realization, Hurwitz's regular map of genus 7
12h20End of morning session
12h30LUNCH
14h30Galen DORPALEN-BARRYCharacteristic polynomials and chambers for cones in hyperplane arrangements
14h55Anastasia CHAVEZDyck Paths and Positroids from Unit Interval Orders
15h20Zur IZHAKIANSupertropical algebra and representations
15h45BREAK
16h05Marcel CELAYAPolyhedral representations of oriented matroids
16h30Ilda DA SILVAHow many cubes are orientable?
16h55End of afternoon session
19h30DINNER
Tuesday 25
9hNathan BOWLERRepresenting matroids over hyperfields
9h45Laura ANDERSONVectors of matroids over hyperfields
10h10Rudi PENDAVINGHMatroids over skew hyperfields
10h35BREAK
11h05James DAVISHyperfield Grassmannians
11h50Emanuele DELUCCHIRealization spaces of matroids over hyperfields
12h15End of morning session
12h30LUNCH
14h30Victor CHEPOICOMs: Complexes of Oriented Matroids
15h15Kolja KNAUERTope graphs of Complexes of Oriented Matroids
15h40BREAK
16hArnau PADROLBack and forth with Gale duality
16h25Michael FALKPairs of topes
16h50End of afternoon session
19h30DINNER
21h15WINE & CHEESE
Wednesday 26
9hGoran MALICDelta-matroids of dessins d'enfants and an action of the absolute Galois group Gal(Q)
9h45Joseph BONINDelta-matroids as subsystems of sequences of Higgs lifts
10h10Steven NOBLEExcluded-minor results for vf-safe delta-matroids
10h35BREAK
11h05Spencer BACKMANGeometric Bijections for Regular Matroids, Zonotopes, and Ehrhart Theory
11h30Chi Ho YUENMore on Geometric Bijections and Circuit-cocircuit Reversal Systems
11h55Raman SANYALCone valuations, Gram's relation, and zonotopes
12h20End of morning session
12h30LUNCH
19h30DINNER
Thurday 27
9hGary GORDON and
Liz McMAHON
Generalizations of Crapo's Beta Invariant
9h45Alex FINKSome cryptomorphisms for valuated matroids and matroids over rings
10h10Hiroshi HIRAIUniform semimodular lattice, valuated matroid, and Euclidean building
10h35BREAK
11h05Iain MOFFATTTutte polynomials and bialgebras
11h30Luca MOCIGraded bialgebras and deletion-contraction invariants
12h15End of morning session
12h30LUNCH
14h30Federico ARDILAThe geometry of geometries.
15h15BREAK
15h35Karim ADIPRASITOCombinatorial Hodge and Lefschetz theory
16h20Gaku LIUCubical Pachner moves, generic immersions, and cobordisms
16h45End of afternoon session
19h30DINNER (BOUILLABAISSE)
Friday 28
9hAndrás RECSKIGeneralized matroid matching -- a survey
9h45Kristóf BERCZIMatroidal maximum term rank
10h10BREAK
10h40Csaba KIRALYPacking arborescences with matroid constraints via matroid intersection
11h25Viktoria KASZANITZKYHighly connected rigidity matroids have unique underlying graphs
11h50Lukas KUHNEParallel iterators and a database for integer root matroids.
12h15End of morning session
12h30LUNCH
19h30DINNER (extra)