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Datum | Sprecher / Thema |
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18.06.2024 | Arnau Padrol (Universitat de Barcelona) Acyclonestohedra Abstract: Motivated by Galashin's poset associahedra, we introduce oriented building sets defined on the ground set of an oriented matroid, and their associated acyclic nested complexes, which are nested complexes fulfilling an additional acyclicity condition. Feichtner and Kozlov defined building sets and nested complexes for arbitrary meet semi-lattices, and acyclic nested complexes are those associated to the Las Vergnas face lattices of acyclic oriented matroids. They can be realized via stellar subdivisions, which provides a polytopal realization whenever the original oriented matroid is realizable. When the original oriented matroid is the graphical matroid of a Hasse diagram, we recover this way Galashin's realization of poset associahedra as an iterated stellar subdivision of an order polytope. Since the las Vergnas lattices are atomic, acyclic nested complexes can be embedded into (boolean) nested complexes. For realizable oriented matroids, we provide a novel polytopal construction that realizes this embedding geometrically by exhibiting acyclonestohedra as sections of certain (boolean) nestohedra. This is joint work with Chiara Mantovani and Vincent Pilaud. | |
11.06.2024 | Merima Mustafic Nash-Gleichgewichte in Bimatrixspielen und die Kombinatorik von Polytopen (Master-Abschlussvortrag) | |
07.05.2024 | Aryaman Jal ( KTH Royal Institute of Technology Stockholm ) Polyhedral combinatorics of bisectors and bisection fans Abstract: Every symmetric convex body induces a norm on its affine hull. The object of our study is the bisector of two points with respect to this norm. A topological description of bisectors is known in the 2 and 3-dimensional cases and recent work of Criado, Joswig and Santos (2022) expanded this to a fuller characterisation of the geometric, combinatorial and topological properties of the bisector. A key object introduced was the bisection fan of a polytope which they were able to explicitly describe in the case of the tropical norm. We will discuss the bisector as a polyhedral complex, introduce the notion of bisection cones and give combinatorial descriptions of the bisection fan corresponding to other polyhedral norms. This is joint work with Katharina Jochemko. | |
06.02.2024 | Moritz Grillo ( TU Berlin ) Topological Expressivity of ReLU Neural Networks | |
07.11.2023 | Christoph Hertrich ( Goethe Universität ) How to Use Polyhedral Theory to Understand Neural Networks | |
26.09.2023 | Laura Kossytorz Multi-Splits of Point Configurations in the Plane (Bachelor-Abschlussvortrag) | |
06.06.2023 | Kristina Wicke ( New Jersey Institute of Technology ) Mathematical approaches to biodiversity conservation: some recent developments and challenges in phylogenetic diversity research | |
23.05.2023 | Eugen Cernomazov Basis-Austauschgraphen von induzierten Fahnenmatroiden (Bachelor-Abschlussvortrag) | |
16.05.2023 | Lorenzo Vecchi ( Universität Bologna ) Categorical valuative invariants of matroids |
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09.05.2023 |
Jacob Matherne ( MPI und Universität Bonn ) Polynomials in combinatorics and representation theory |
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02.05.2023 | Katherina von Dichter (TU München und BTU Cottbus) The diameter-width-ratio for complete and pseudo-complete sets |
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25.04.2023 | Linus Eschmann Der Potenzkegel in der konvexen Optimierung (Bachelor-Abschlussvortrag) |
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18.04.2023 | Christopher Lorenz:
Insider trading in discrete time Kyle games |
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28.02.2023 | Nadine Defoßa Sublineare Kreise in der restringierten Optimierung von Signomen (Master-Abschlussvortrag) |
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07.02.2023 |
Benjamin Schröter Valuative invariants for large classes of matroids |
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13.12.2022 | Doppelvortrag Jan Stricker Über die Geometrie und Kombinatorik von 2-level Polytopen (Bachelor-Abschlussvortrag) Jakob DanyVerallgemeinerte Bipermutaeder (Bachelor-Abschlussvortrag) |
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25.10.2022 |
Irem Portakal (TU München): Nonlinear algebra in game theory |
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04.10.2022 |
Marlene Meißner: Beziehungen zwischen stabilen Polynomen und Matroidtheorie (Bachelor-Abschlussvortrag) |
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12.09.2022 |
Marcel Wack Restringierte signomiale Optimierung mittels eines SAGE-Positivstellensatzes (Master-Abschlussvortrag) |
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30.08.2022 | David Zimmermann Optimale Punkte konditionaler SAGE-Zertifikate in der signomialen Optimierung (Master-Abschlussvortrag) |
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19.07.2022 | Federico Castillo (Universidad Católica de Chile) Polyhedral bases for deformation cones |
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12.07.2022 | Constantin Ickstadt Eine semidefinite Verallgemeinerung von Bimatrixspielen (Master-Abschlussvortrag) |
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24.06.2022, |
"Frankfurt-Darmstadt Afternoon on Optimization" Venkat Chandrasekaran (California Institute of Technology) Fitting Tractable Convex Sets to Support Function Data Max Klimm (TU Berlin): Optimal Information Design for Congested Networks |
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21.06.2022 | Doppelvortrag: Katharina Jochemko (KTH Stockholm @ Frankfurt) The Eulerian transformation Darij Grinberg (Drexel University @ Bochum) The one-sided cycle shuffles in the symmetric group algebra |
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14.06.2022 | Bastian von Harrach (Goethe-Universität) Von inversen Problemen in partiellen Differentialgleichungen zu semidefiniter Optimierung |
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07.06.2022 | Germain Poullot (Sorbonne Université) Deformation cones of hypergraphic polytopes |
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24.05.2022 | Doppelvortrag: Luis Ferroni (KTH Stochholm @ Bochum) Valuative invariants for large classes of matroids Lorenzo Venturello (KTH Stockholm @ Frankfurt) Gorenstein algebras from simplicial complexes |
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17.05.2022 | Andrés Vindas Meléndez (MSRI/Berkeley) Ehrhart Theory of Paving and Panhandle Matroids (Abstract) | |
19.04.2022 | Niklas Lütjeharms Geometrie und Kombinatorik von Max-Slope-Pivotpolytopen (Master-Abschlussvortrag) |
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05.04.2022 | Jonas Ellwanger Nichtnegative Signome mit wenigen negativen Termen (Bachelor-Abschlussvortrag) |
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15.02.2022 |
Frederic Matter (TU Darmstadt) Sparse Recovery Under Side Constraints Using Null Space Properties (Abstract) |
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08.02.2022 |
Gaku Liu (Uni Washington) Unimodular triangulations of sufficiently large dilations (Abstract) |
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01.02.2022 |
Lukas Kühne (Uni Bielefeld) Geometry of Flag Hilbert-Poincaré series (Abstract) |
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25.01.2022 |
Philip Dörr (Magdeburg) Extreme Values of Permutation Statistics in Suitable Triangular Arrays (Abstract) |
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07.12.2021 |
Mariel Supina (KTH) The Universal Valuation for Coxeter Matroids (Abstract) |
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30.11.2021 |
Georg Loho (Twente) Generalized permutahedra and complete classes of valuated matroids (Abstract) |
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23.11.2021 |
Laura Escobar (WUSL) Determining the complexity of Kazhdan-Lusztig varieties (Abstract) |
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16.11.2021 |
Jesus de Loera (University of California) Stochastic Tverberg-type theorems and their relevance in Machine Learning and Statistical Inference (Abstract) |
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26.10.2021 |
Alexander Black (University of California, Davis) Polyhedral Geometry of Pivot Rules (Abstract) |
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26.10.2021 |
Christian Krattenthaler (Universität Wien) Reciprocity between Dyck paths and alternating sequences - heaps, orthogonal polynomials, … (Abstract) |
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06.07.2021 |
Sebastian Debus (UiT - The Arctic University of Norway) Higher Specht polynomials and sums of squares (Abstract) |
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29.06.2021 |
Ralph Morrison (Williams College) Tropically planar graphs: counting and constraints (Abstract) |
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22.06.2021 |
Eva Philippe (École Normale Supérieure de Paris) Sweep polytopes, lineup polytopes, and generalized exclusion principle in quantum physics (Abstract) |
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15.06.2021 |
Sven Geserick Multivariate Matching-Polynome (Bachelor-Abschlussvortrag) |
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08.06.2021 |
Sophie Rehberg (FU Berlin) Combinatorial reciprocity theorems for generalized permutahedra, hypergraphs, and pruned inside-out polytopes (Abstract) |
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25.05.2021 |
Henri Mühle (TU Dresden) Posets from Polytopes and Refined Face Enumeration (Abstract) |
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11.05.2021 |
Dominik Sorg Konvexe Ecken, Spiegelungsgruppen und das Mahler-Volumen (Master-Abschlussvortrag) |
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04.05.2021 |
Adriana Knop Summen nichtnegativer Kreispolynome und reguläre Unterteilungen (Master-Abschlussvortrag) |
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13.04.2021 |
Mahsa Sayyary (Goethe-Universität) Real algebraic geometry of plane curves |