The program will consist of two advanced courses (3h lectures and 2h problem sessions each), some long (1h) invited talks, plus contributions from participants in the form of short presentations and poster sessions.
On Tuesday evening there is also going to be a public lecture by Rekha Thomas on The algebra and geometry of the pinhole camera.
Schedule: You can download this pdf with the full program, including abstracts.

Rooms: The workshop takes place at the Facultad de Ciencias. On Monday and Tuesday we will primarily use the Aula Magna and Wednesday to Friday the Aula 1. Exceptions to this are:
- Registration will take place in Aula 6.
- Luis Ferroni’s talk on Monday afternoon will take place in Aula 2.
- The Exercise sessions will take place in Aula 5.
- The poster session will take place in the lobby outside Aula Magna.
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- Rekha Thomas, University of Washington, Seattle, USA
Graphical Designs and Graph Sparsifiers
(TA: Catherine Babecki)
- Rekha Thomas, University of Washington, Seattle, USA
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- Karim Adiprasito, Hebrew University Jerusalem and University of Copenhagen
Coxeter groups, Euler characteristics, aspherical manifolds and γ-numbers
- Karim Adiprasito, Hebrew University Jerusalem and University of Copenhagen
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- Carolina Benedetti, Universidad de Los Andes Bogotá
Volumes of lattice path matroids
- Carolina Benedetti, Universidad de Los Andes Bogotá
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- Giulia Codenotti, Freie Universität Berlin
Lattice reduced and complete convex bodies
- Giulia Codenotti, Freie Universität Berlin
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- Luis Ferroni, KTH Stockholm
The Chow polynomial of a poset
- Luis Ferroni, KTH Stockholm
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- Michael Joswig, Technische Universität Berlin
Generalized permutahedra and optimal auctions
- Michael Joswig, Technische Universität Berlin
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- Martina Juhnke, Universität Osnabrück
On cosmological polytopes
- Martina Juhnke, Universität Osnabrück
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- Benjamin Nill, Otto von Guericke Universität Magdeburg
An invitation to local Ehrhart theory - Leonardo Patimo, Universität Freiburg
Hecke algebras and their categorification via Soergel bimodules
- Benjamin Nill, Otto von Guericke Universität Magdeburg
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- Alex Black, University of California Davis
The Polyhedral Geometry of Pivot Rules
- Alex Black, University of California Davis
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- James Cruickshank, University of Galway
A lower bound theorem for centrally symmetric simplicial spheres.
- James Cruickshank, University of Galway
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- Ansgar Freyer, Technische U. Wien
Unimodular Valuations Beyond Ehrhart
- Ansgar Freyer, Technische U. Wien
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- Aryaman Jal, KTH Royal Institute of Technology, Stockholm
Polyhedral geometry of bisectors and bisection fans
- Aryaman Jal, KTH Royal Institute of Technology, Stockholm
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- Ryoshun Oba, University of Tokyo
Generalized Lower Bound Theorem for a-balanced simplicial spheres
- Ryoshun Oba, University of Tokyo
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- Ethan Partida, Brown University
Shifted and threshold matroids
- Ethan Partida, Brown University
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- Germain Poullot, Universität Osnabrück
Deformed permutahedra: a glimpse at the submodular cone
- Germain Poullot, Universität Osnabrück
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- Eva Philippe, Sorbonne Université
Quotients of the s-weak order and geometric realizations.
- Eva Philippe, Sorbonne Université
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- Lena Weis, Technische U. Berlin
Computing lines on tropical cubic surfaces
- Lena Weis, Technische U. Berlin
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- Martin Winter, University of Warwick
Kalai’s conjecture for (locally) unconditional polytopes
- Martin Winter, University of Warwick
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- Tristram Bogart, Universidad de los Andes
Quotients and Projections of Numerical Semigroups
- Tristram Bogart, Universidad de los Andes
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- Sebastian Degen, Universität Bielefeld
An invitation to $q$-matroids
- Sebastian Degen, Universität Bielefeld
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- Antony Della Vecchia, Tecniche Universität Berlin
Algebraic Shifting in Oscar
- Antony Della Vecchia, Tecniche Universität Berlin
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- William Dugan, University of Massachusetts Amherst
On the f-vector of flow polytopes for complete graphs
- William Dugan, University of Massachusetts Amherst
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- Estéban Gabory, CWI Amsterdam
Strings having the same fixed length substring and Eulerian walks on directed DeBruijn graphs
- Estéban Gabory, CWI Amsterdam
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- Vojtěch Kaluža, Institute of Science and Technology Austria (ISTA)
On the Colin de Verdière graph parameter
- Vojtěch Kaluža, Institute of Science and Technology Austria (ISTA)
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- Hoi Ping Luk, The Hong Kong University of Science & Technology
Classification of Edge-to-edge Monohedral Tilings of the Sphere
- Hoi Ping Luk, The Hong Kong University of Science & Technology
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- Teemu Lundström, Aalto University
f-vector inequalities for order and chain polytopes
- Teemu Lundström, Aalto University
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- Daniel McGinnis, Iowa State University
Ehrhart Positivity of Panhandle Matroids and a Bound for Paving Matroids
- Daniel McGinnis, Iowa State University
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- Leonie Mühlherr, Universität Bielefeld
On fundamental Polytopes of finite metric spaces
- Leonie Mühlherr, Universität Bielefeld
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- Sophie Rehberg, Freie Universität Berlin
Rational Ehrhart Theory
- Sophie Rehberg, Freie Universität Berlin
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- Juan Luis Valerdi Cabrera, Ikerlan
Polytope Neural Networks
- Juan Luis Valerdi Cabrera, Ikerlan
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- Yirong Yang, University of Washington
The constructibility of the Nevo–Santos–Wilson spheres
- Yirong Yang, University of Washington
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- Yan Wang, Shanghai Jiao Tong University
Vertex degree sums for perfect matchings in 3-uniform hypergraphs
- Yan Wang, Shanghai Jiao Tong University
Monday’s Welcome reception (offered by the City of Santander) will take place at the Palacio de la Magdalena.
Wednesday’s Social Dinner will take place at Bodegas Mazón. (Please fill in this form with your choice, by Thursday January 11th at noon).
Minicourses (3 hours each):
Invited talks:
Contributions by participants:
We have some slots reserved for talks and posters by participants. If you wish to present one poster or give a talk fill in this form by December 1st.
Submission of contributions is now closed.
Short talks:
Posters: