Institut
Allgemeine Informationen über das Institut wie z.B. Leitbild, Organisationsstruktur, Mitarbeiterverzeichnis, Geschichte, Anfahrtsbeschreibung usw.

Mehr anzeigen
Forschung
Wissenschaftliches Profil mit allen Forschungsgruppen, Themen, Projekten sowie weiteren Forschungsrubriken des Instituts.

Mehr anzeigen
News
Nachrichten und Pressemitteilungen des Instituts, sowie ein Pressearchiv.

Mehr anzeigen
Veranstaltungen
Übersicht über alle Veranstaltungen rund um das Institut, wie Vorträge, Seminare, Vorlesungen, Workshops, Konferenzen und öffentliche Veranstaltungen.

Mehr anzeigen
Publikationen
Übersicht über alle wissenschaftlichen Veröffentlichungen des Instituts sowie über unsere Preprint- und Software-Archive.

Mehr anzeigen
Karriere
Informationen zu Stellenangeboten am Institut, Karriere Benefits, dem Graduiertenkolleg und der Betreuung von Postdocs.

Mehr anzeigen

Veranstaltungen
Recent Developments on Lattice Polytopes in Leipzig

Lettering: “Conference - Recent Developments on Lattice Polytopes in Leipzig” together with a lattice polytope in front of a green-orange color gradient

MPI für Mathematik in den Naturwissenschaften Leipzig

E1 05 (Leibniz-Saal)

conference

20.01.26 23.01.26

Recent Developments on Lattice Polytopes in Leipzig

conference

20.01.26 23.01.26

Recent Developments on Lattice Polytopes in Leipzig

Combinatorics on lattice polytopes is a fundamental and important research topic that appears in not only discrete geometry but also many fields.

In this workshop, we will discuss recent developments on lattice polytopes. The polytopes arising from graphs, matroids, posets, and other combinatorial objects are one of the main topics of the workshop.

Financial support provided by the Japan Society for the Promotion of Science (Fostering Joint International Research (B)) “Challenge towards the open problems in the theory of lattice polytopes by algebraic and combinatorial methods”.

The registration for this event is closed.

WARNING: Please be wary if a company directly contacts you regarding payment for accommodation in Leipzig: this is fraud / phishing. The communication and organisation of this school is carried out exclusively by staff of the MPI MiS.

This event is supported by the DFG Priority program SPP "Combinatorial Synergies".

Speakers

Benjamin Braun

University of Kentucky

Jhon Bladimir Caicedo Portilla

Universität Osnabrück

Giulia Codenotti

Freie Universität Berlin

Alvaro Cornejo

University of Kentucky

Shelby Cox

MPI MiS

Danai Deligeorgaki

Universitat de Barcelona

Laura Escobar

University of California Santa Cruz

Alheydis Geiger

MPI MiS, Leipzig

Aryaman Jal

Ruhr-Universität Bochum

Katharina Jochemko

KTH Stockholm

Tamás Kálmán

Institute of Science Tokyo

Masato Konoike

The University of Osaka

Fu Liu

University of California, Davis

Alejandro Morales

Université du Québec à Montréal

Kenta Mori

Kwansei Gakuin University

Aki Mori

Setsunan University

Raman Sanyal

Goethe-Universität Frankfurt

Jan Stricker

Goethe Universität Frankfurt am Main

Lilla Tóthmérész

ELTE Eötvös University and ARIM, Budapest

Binnan Tu

Osaka University

Francesca Zaffalon

MPI MiS and Weizmann Institute

Program

10:00 - 11:00	Katharina Jochemko (KTH Stockholm) Weighted Ehrhart Theory In 1962 Ehrhart proved that the number of lattice points in integer dilates of a lattice polytope is given by a polynomial — the Ehrhart polynomial of the polytope. Since then Ehrhart theory has developed into a very active area of research at the intersection of combinatorics, geometry and algebra.The Ehrhart polynomial encodes important information about the polytope such as its volume and the dimension. An important tool to study Ehrhart polynomials is the $h-polynomial$, a linear transform of the Ehrhart polynomial which is given by the numerator of the generating series. By a famous theorem of Stanley the coefficients of the $h-polynomial$ are always nonnegative integers. In this talk, we discuss generalizations of this result to weighted lattice point enumeration in rational polytopes where the weight function is given by a polynomial. In particular, we show that Stanley’s Nonnegativity Theorem continues to hold if the weight is a sum of products of linear forms that a nonnegative over the polytope.This is joint work with Esme Bajo, Robert Davis, Jesús De Loera, Alexey Garber, Sofía Garzón Mora and Josephine Yu.
11:00 - 11:30	Coffee Break
11:30 - 12:30	Benjamin Braun (University of Kentucky) Volumes of flow polytopes Flow polytopes are beautiful geometric objects that encode the different ways material can move through a transportation network. Flow polytopes for certain types of transportation networks have particularly nice volumes and geometric structure. In this talk, I will discuss recent developments regarding this topic. This talk is based on several joint works with Matias von Bell, Kaitlin Bruegge, Robert Davis, Derek Hanely, James Ford McElroy, Khrystyna Serhiyenko, Julianne Vega, Andrés R. Vindas-Meléndez, and Martha Yip.
12:30 - 13:30	Lunch Break
13:30 - 14:00	Alvaro Cornejo (University of Kentucky) Equatorial Flow Triangulations of Gorenstein Flow Polytopes Generalizing work of Athanasiadis for the Birkhoff polytope and Reiner and Welker for order polytopes, in 2007 Bruns and Römer proved that any Gorenstein lattice polytope with a regular unimodular triangulation admits a regular unimodular triangulation that is the join of a special simplex with a triangulated sphere. These are sometimes referred to as equatorial triangulations. We apply these techniques to give purely combinatorial descriptions of previously unstudied triangulations of Gorenstein flow polytopes. Further, we prove that the resulting equatorial flow polytope triangulations are usually distinct from the family of triangulations obtained by Danilov, Karzanov, and Koshevoy via framings. We find the facet description of the reflexive polytope obtained by projecting a Gorenstein flow polytope along a special simplex. Finally, we show that when a partially ordered set is strongly planar, equatorial triangulations of a related flow polytope can be used to produce new unimodular triangulations of the corresponding order polytope.
14:15 - 14:45	Kenta Mori (Kwansei Gakuin University) Toric ideals arising from matching polytopes and graph colorings This talk is based on joint work with Ryo Motomura, Hidefumi Ohsugi, and Akiyoshi Tsuchiya. A matching of a graph $G$ is a set of pairwise non-adjacent edges of $G$. We investigate the maximal degree of minimal generators of the toric ideal of the matching polytope of a graph. It is known that the toric ideal associated to a bipartite graph is generated by binomials of degree at most $3$. We show that this fact is equivalent to a result in the theory of edge colorings of bipartite multigraphs. Moreover, a characterization of bipartite graphs whose toric ideals are generated by quadratic binomials is given.
14:45 - 15:15	Coffee Break
15:15 - 15:45	Shelby Cox (MPI MiS) Maxout polytopes Maxout polytopes are defined by feedforward neural networks with maxout activation function and non-negative weights after the first layer. We characterize the parameter spaces and extremal f-vectors of maxout polytopes for shallow networks, and we study the separating hypersurfaces which arise when a layer is added to the network. We also show that maxout polytopes are cubical for generic networks without bottlenecks.
16:00 - 16:30	Binnan Tu (Osaka University) Oda's conjecture for reflexive polytopes: some special cases In this talk, we show that Oda's question (the IDP pair property) holds for an $n$-dimensional simplicial reflexive polytope $P$ and a lattice polytope $Q$ containing the origin when the face fan of $P$ refines that of $Q$, provided that $P$ has at most $n+1$ lattice points on each facet and admits a unimodular triangulation. We then observe that the statement also holds for any two facet-unimodular polytopes all of whose facet normals have at most two non-zero entries, e.g. dual of symmetric edge polytopes. In general, two facet-unimodular polytopes do not necessarily become an IDP pair, but if we additionally require two reflexive polytopes to be co-unimodular, then they form an IDP pair. Finally, we present a generalization of this result.

10:00 - 11:00	Fu Liu (University of California, Davis) Symmetrizing Polytopes A classic operation in combinatorics is the composition of two structures. For instance, an ordered set partition can be viewed as the composition of a set partition and a permutation. Geometrically, we can view this composition through the permutohedron, which realizes ordered set partitions as a polytope. Motivated by this viewpoint, we explore how to compose polytopes that carry rich combinatorial structures. In this talk, I will present a construction for the case when one of the polytopes is a permutohedron. The key idea is to use a finite reflection group G to symmetrize an arbitrary polytope P, and to show that the combinatorics of the resulting polytope G(P) can be recovered from the intersection of the normal fan of P with the fundamental domain of G. This is joint work with Federico Castillo.
11:00 - 11:30	Coffee Break
11:30 - 12:30	Raman Sanyal (Goethe-Universität Frankfurt) tba
12:30 - 13:30	Lunch Break
13:30 - 14:00	Jan Stricker (Goethe Universität Frankfurt am Main) Exploring Marked Poset Polytopes Marked chain-order polytopes, marked order polytopes, and marked chain polytopes are fascinating geometric objects that generalize classical order and chain polytopes. They capture many interesting combinatorial properties of marked posets, which are posets equipped with a function that assigns numerical markings to certain elements. For integral markings, marked poset polytopes are indeed lattice polytopes. Remarkably, the marked order, marked chain, and marked chain-order polytopes share identical Ehrhart polynomials. In this talk, we will explore the intriguing properties of these polytopes as lattice polytopes, present a formula for their Ehrhart polynomial, and discuss surprising connections to other combinatorial structures. These insights shed light on the rich interplay between geometry and combinatorics within the theory of marked polytopes.
14:15 - 14:45	Aki Mori (Setsunan University) Two-dimensional faces of order and chain polytopes In this talk, we give an explicit combinatorial description of the two-dimensional faces of both the order polytope $\mathcal{O}(P)$ and the chain polytope $\mathcal{C}(P)$ of a partially ordered set $P$. Using these descriptions, we show that for any $P$, $\mathcal{C}(P)$ has equally many square faces, and at least as many triangular faces, as $\mathcal{O}(P)$ does. Moreover, the inequality is shown to be strict except when $\mathcal{O}(P)$ and $\mathcal{C}(P)$ are unimodularly equivalent. This proves the case $i = 2$ of a conjecture by Hibi and Li. The talk is based on joint work with Ragnar Freij-Hollanti and Teemu Lundström.
14:45 - 15:15	Coffee Break
15:15 - 15:45	Aryaman Jal (Ruhr-Universität Bochum) Order polytopes of thin posets and log-concavity of h-vectors Does every lattice polytope with the integer decomposition property (IDP) have a unimodal h-vector? This question, attributed to Stanley, is one in a hierarchy of conjectures involving distributional properties of h-vectors of lattice polytopes. Even in the case of IDP polytopes whose h-vectors have explicit combinatorial interpretations — such as the order polytope of naturally labeled posets — this question is wide open. We focus on the subclass of thin posets P and approach Stanley’s question by finding a novel matroidal interpretation of P-Eulerian polynomials in this case. In doing so, we make progress on unimodality and log-concavity conjectures of Stanley and Brenti respectively. We relate this new class of matroids to transversal matroids, lattice path matroids, and positroids. This is joint work with Per Alexandersson.
18:00 -	Social dinner (individual payment)

10:00 - 11:00	Alejandro Morales (Université du Québec à Montréal) Flows on cyclic graphs, complete gentle algebras, and the doppelgänghedron Flow cones of a directed acyclic graph admit a family of unimodular triangulations given by Danilov, Karzanov, and Koshevoy (DKK) whose normal fans are related to (generalizations) of the associahedron and permutahedron. A correspondence between these triangulations for certain graphs and maximal cones of a g-vector fan of a gentle quiver associated to the graph was discovered by von Bell, Braun, Bruegge, Hanely, Peterson, Sherhiyenko and Yip in 2022. This correspondence has been fruitful to uncover lattice structures in the triangulations. We consider flow cones of certain graphs with cycles. For this case, we give a DKK-like triangulation of the cone, and extend their correspondence to the finite g-vector fan of locally gentle quivers of the graphs. In addition, we extend to cyclic graphs a mysterious result of Postnikov--Stanley and Baldoni--Vergne giving the volume of flow polytopes of acyclic graphs as the number of certain integer flows on the same graph. We illustrate our results with a two-parameter family of cyclic graphs which include a cycle graph and nested 2-cycles as special cases whose normal fans are related to the cyclohedron and a new polytope, called the doppelgänghedron, whose f-vector is equal to that of the permutahedron but which has a different combinatorial type.
11:00 - 11:30	Coffee Break
11:30 - 12:30	Laura Escobar (University of California Santa Cruz) Oriented Matroid Circuit Polytopes We examine polytopes that arise from the signed circuits of an oriented matroid. First, we give the dimensions of those arising from oriented graphs. Moreover, we consider polytopes constructed from cocircuits of oriented matroids associated to the positive roots of the type A root system. These polytopes are graphic zonotopes and are polar duals of symmetric edge polytopes. We determine their Ehrhart series and study an action of the symmetric group on these polytopes, giving a full description of the subpolytopes fixed by each permutation. This is based on joint work with Jodi McWhirter.
12:30 - 13:30	Lunch Break
13:30 - 14:00	Alheydis Geiger (MPI MiS, Leipzig) Realizing self-projecting Matroids Self-dual point configurations have been studied throughout the centuries. In this talk the generalization to self-projecting point configurations will be introduced. These give rise to self-projecting matroids, in other words, to matroids that satisfy the disjoint bases property and that have no almost generic element. The parameter space of self-projecting point configurations is the self-projecting Grassmannian. This is also the space of self-projecting realizations of self-projecting matroids. Its structure is interesting from multiple perspectives, like mathematica physics. We compute the realization spaces for small matroids up to rank 4 on 9 elements. If time permits, a short overview of the available code and database will be given. I will finish with an outlook on the perspective of tropical geometry and subdivisions of matroid polytopes. This project is joint work in progress with Francesca Zaffalon.
14:15 - 14:45	Jhon Bladimir Caicedo Portilla (Universität Osnabrück) Unimodular Triangulations and Ehrhart Non-Positivity for s-Lecture Hall Simplices For a sequence of positive integers $s = (s_1, ..., s_n)$, the s-lecture hall simplex is defined as $P_n^s = Conv{ (0, ..., 0), (0, ..., 0, s_n), ..., (s_1, ..., s_n)}$. Hibi, Olsen, and Tsuchiya (2016) conjectured that for any sequence $s$, the simplex $P_n^s$ admits a unimodular triangulation (UT). Partial results toward this conjecture were obtained by Brändén and Solus in 2019, and by Hibi, Olsen, and Tsuchiya in 2016.In this work, we provide further evidence for this conjecture by extending previous results. Specifically, we show that if $P_n^s$ admits a UT, then so does $P_n^{s'}$, where $s' = (s_1, ..., s_n + 1)$. Moreover, we study Ehrhart-theoretic aspects of certain lecture hall simplices. Our main result states that for $s = (a, ..., a, a + 1)$ with $a > 0$ and $n > 4$, the simplex $P_n^s$ is not Ehrhart positive for $a$ large enough.This is joint work with Martina Juhnke and Germain Poullot.
14:45 - 15:15	Coffee Break
15:15 - 15:45	Masato Konoike (The University of Osaka) On the magic positivity of Ehrhart polynomials of dilated polytopes A polynomial $f(x)$ of degree d is said to be magic positive if all the coefficients of its expansion with respect to the basis ${x^i(x+1)^{d-i}}_{i=0}^d$ are nonnegative. It is known that if $f(x)$ is magic positive, then the polynomial appearing in the numerator of its generating function is real-rooted. In this talk, we explain that if a polytope is Ehrhart positive, then sufficiently large dilations make its Ehrhart polynomial magic positive, and once it becomes magic positive, it remains so under further dilations. Finally, we investigate how much certain polytopes need to be dilated to make their Ehrhart polynomials magic positive.
16:00 - 16:30	Danai Deligeorgaki (Universitat de Barcelona) Colored multiset Eulerian polynomials via products of simplices This talk explores a family of polynomials arising from descent statistics on colored permutations of multisets. They generalize the colored Eulerian polynomials that appear frequently in algebraic combinatorics and are known to admit desirable distributional properties, including real-rootedness, log-concavity, unimodality and the alternatingly increasing property. In joint work with Bin Han and Liam Solus, we prove that a large class of colored multiset Eulerian polynomials obtains all of the aforementioned distributional properties as well as others, including bi-gamma-positivity. The proof relies on a connection to convex polytopes: colored multiset Eulerian polynomials arise in lattice point enumeration considerations for products of simplices, enabling the use of polyhedral methods to establish our results.

10:00 - 11:00	Giulia Codenotti (Freie Universität Berlin) Edges of symmetric edge polytopes and their Ehrhart theory The symmetric edge polytope of a simple graph is a lattice polytope defined in terms of the edges of the graph. These polytopes appear in different contexts and recently have attracted attention as a family with interesting Ehrhart theoretic properties. We will discuss a sharp lower bound for the number of edges of symmetric edge polytopes, expressed only in terms of invariants of the graph. We then highlight a connection with the $h^∗-$polynomial of such polytopes, and in particular, discuss implications for their conjectured Γ-positivity.
11:00 - 11:30	Coffee Break
11:30 - 12:30	Tamás Kálmán (Institute of Science Tokyo) Directed graphs and lattice polytopes I will survey recent results, all joint with Lilla Tóthmérész, on lattice polytopes associated to graphs and their h-polynomials. More precisely, any directed graph has a natural root (a.k.a. edge) polytope, which we extend to always include the origin; when the graph is bidirected, this is known as a symmetric edge polytope. I will present formulas for the degree of the corresponding h-polynomial. Moreover, it turns out that if any edge of the digraph is either deleted or contracted to a point, then no coefficient in the polynomial will increase. Curiously, many cases can be found in which the contraction of an edge does not change the polynomial, even as the dimension of the polytope reduces. In the case of digraphs with a Gorenstein polytope (i.e., a palindromic h-polynomial), this provides examples of the phenomenon, due to Batyrev and Nill, that such polytopes can be projected along a special simplex onto a reflexive polytope with the same h-polynomial. If time permits then I will also discuss comparisons, mostly conjectural, between the h*-polynomials derived from various orientations of the same graph.
12:30 - 13:30	Lunch Break
13:30 - 14:00	Lilla Tóthmérész (ELTE Eötvös University and ARIM, Budapest) Computing h^-polynomials of edge polytopes using visibility-activities Edge polytopes are lattice polytopes defined for directed graphs, and their geometry gives a lot of information on the graph structure.These polytopes have nice unimodular triangulations that correspond to subsets of the spanning trees. We give a general method to compute the $h^-$polynomial (a polynomial-valued refinement of the volume) based on such a triangulation, or even a dissection into interior disjoint simplices. Then, we give some concrete applications of our method that produce various graph-theoretic activity-formulas for the $h^*-$polynomial. Joint work with Tamás Kálmán.
14:15 - 14:45	Francesca Zaffalon (MPI MiS and Weizmann Institute) Restricted Chain-Order Polytopes via Combinatorial Mutation Chain-order polytopes form a family of polytopes interpolating between the classical order and chain polytopes of a poset. In this talk we will consider restricted chain-order polytopes, obtained via intersection with certain hyperplanes. While such restrictions are typically not lattice polytopes, they behave similarly to them. Indeed, many of these polytopes present Ehrhart period collapse: their Erhart functions are polynomial, as if they were lattice polytopes. For a fixed Young diagram we show that all restricted chain-order polytopes are related via combinatorial mutations, piecewise linear maps that preserve key geometric and enumerative structures of polytopes. This provides a large class of rational polytopes whose Ehrhart behavior mimics that of lattice polytopes. Based on joint work with Oliver Clarke and Akihiro Higashitani.
15:00 - 16:00	Discussion

Participants

George Balla

MPI MiS Leipzig

Carolina Benedetti Velasquez

Universidad de los Andes

Barbara Betti

Otto-von-Guericke-University Magdeburg

Marie Brandenburg

Ruhr-Uni Bochum

Benjamin Braun

University of Kentucky

Dominic Bunnett

TU Berlin

Tim Alexander Burdack

KU Leuven

Jhon Bladimir Caicedo Portilla

Universität Osnabrück

Veronica Calvo Cortes

MPI MiS Leipzig

Laura Casabella

Goethe-Universität Frankfurt

Giulia Codenotti

Freie Universität Berlin

Alvaro Cornejo

University of Kentucky

Shelby Cox

MPI MiS

Claire de Korte

Max Planck Institute for Mathematics in the Sciences

Danai Deligeorgaki

Universitat de Barcelona

Torben Donzelmann

Osnabrück University

Matthew Dupraz

FU Berlin

Angelo El Saliby

MPI MiS, Leipzig

Laura Escobar

University of California Santa Cruz

Aideen Fay

Imperial College London

Sergio Alejandro Fernandez de soto Guerrero

Tu Graz

Sofía Garzón Mora

Freie Universität Berlin

Alheydis Geiger

MPI MiS, Leipzig

Marco Ghirlanda

Universität Tübingen

Moritz Grillo

MPI MiS Leipzig

Christian Haase

Freie Universität Berlin

Akihiro Higashitani

Osaka University

Thiago Holleben

Dalhousie University

Linda Hoyer

RWTH Aachen University

Kyle Huang

BTU Cottbus-Senftenberg

Pepijn Hulsbergen

Universität Leipzig

Aryaman Jal

Ruhr-Universität Bochum

Katharina Jochemko

KTH Stockholm

yakob Kahane

LACIM, Université Québec à Montréal

Tamás Kálmán

Institute of Science Tokyo

Ghizlane Kettani

Paris university

Max Kölbl

Osaka University

Masato Konoike

The University of Osaka

Daniel Kral

Leipzig University

Katarina Krivokuca

FU Berlin

Filip Kucerak

MPI MiS

Alex Küronya

Goethe Universität Frankfurt

Vadym Kurylenko

OvGU Magdeburg

Federico Lazzeri

KTH Stockholm

Alexandros Leivaditis

Ruhr-Universität Bochum

Fu Liu

University of California, Davis

Aida Maraj

MPI CBG

Krishna Menon

KTH Royal Institute of Technology

Leonid Monin

EPFL

Alejandro Morales

Université du Québec à Montréal

Kenta Mori

Kwansei Gakuin University

Aki Mori

Setsunan University

Francesco Navarra

Sabanci University

Elke Neuhaus

MPI MiS

Benjamin Nill

OVGU Magdeburg

Francesco Nowell

TU Berlin

Hidefumi Ohsugi

Kwansei Gakuin University

Janike Oldekop

TU Berlin

Niharika Paul

MPI MIS

Irem Portakal

Max Planck Institute for Mathematics in the Sciences

Alvaro Ribot

Harvard University

Carlos Rodriguez

Max Planck Institute for Mathematics in the Sciences

Raman Sanyal

Goethe-Universität Frankfurt

Nikoleta Sevastaki

University of Crete

Jan Stricker

Goethe Universität Frankfurt am Main

Bernd Sturmfels

MPI for Mathematics in the Sciences

Lilla Tóthmérész

ELTE Eötvös University and ARIM, Budapest

Akiyoshi Tsuchiya

Toho University

Binnan Tu

Osaka University

Eleni Tzanaki

University of Crete, Greece

Carl Felix Waller

Université de Montréal

Julian Weigert

MPI MiS/University Leipzig

Zafeirakis Zafeirakopoulos

National and Kapodistrian University of Athens

Francesca Zaffalon

MPI MiS and Weizmann Institute

Organizers

Akihiro Higashitani

Osaka University

Hidefumi Ohsugi

Kwansei Gakuin University

Irem Portakal

Max Planck Institute for Mathematics in the Sciences

Administrative Contact

Saskia Gutzschebauch

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Mirke Olschewski

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Event Poster: "Recent Developments on lattice Polytopes in Leipzig" with information about the event, the speakers and the organizers

Recent Developments on Lattice Polytopes in Leipzig

Recent Developments on Lattice Polytopes in Leipzig

Links

Speakers

Benjamin Braun

Jhon Bladimir Caicedo Portilla

Giulia Codenotti

Alvaro Cornejo

Shelby Cox

Danai Deligeorgaki

Laura Escobar

Alheydis Geiger

Aryaman Jal

Katharina Jochemko

Tamás Kálmán

Masato Konoike

Fu Liu

Alejandro Morales

Kenta Mori

Aki Mori

Raman Sanyal

Jan Stricker

Lilla Tóthmérész

Binnan Tu

Francesca Zaffalon

Program

Participants

George Balla

Carolina Benedetti Velasquez

Barbara Betti

Marie Brandenburg

Benjamin Braun

Dominic Bunnett

Tim Alexander Burdack

Jhon Bladimir Caicedo Portilla

Veronica Calvo Cortes

Laura Casabella

Giulia Codenotti

Alvaro Cornejo

Shelby Cox

Claire de Korte

Danai Deligeorgaki

Torben Donzelmann

Matthew Dupraz

Angelo El Saliby

Laura Escobar

Aideen Fay

Sergio Alejandro Fernandez de soto Guerrero

Sofía Garzón Mora

Alheydis Geiger

Marco Ghirlanda

Moritz Grillo

Christian Haase

Akihiro Higashitani

Thiago Holleben

Linda Hoyer

Kyle Huang

Pepijn Hulsbergen

Aryaman Jal

Katharina Jochemko

yakob Kahane

Tamás Kálmán

Ghizlane Kettani

Max Kölbl

Masato Konoike

Daniel Kral

Katarina Krivokuca

Filip Kucerak

Alex Küronya

Vadym Kurylenko

Federico Lazzeri

Alexandros Leivaditis

Fu Liu

Aida Maraj

Krishna Menon

Leonid Monin

Alejandro Morales

Kenta Mori

Aki Mori

Francesco Navarra