ONLINE: Graduate student meeting on Applied Algebra and Combinatorics
The University of Copenhagen, 21-23 April 2021
The graduate meeting will focus on topics in/close to Applied Algebra and Combinatorics, and is primarily aimed at PhD students and early postdocs.
Two introductory talks on selected topics will be held by two invited speakers, and exercises related to these topics will be proposed by them. The rest of the program will consist of contributed talks, a poster session and problem sessions aimed to create collaborations among the participants.
PhD students and young postdocs working on these fields are encouraged to:
- contribute a poster
- propose problems to work during the problem sessions. The problems can come from your own research or can be related to the topics of the talks.
This meeting is the third edition of a series. Previous meetings took place in Leipzig, and Osnabrück.
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Kaie Kubjas (Aalto University, Finland)
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Emanuele Delucchi (SUPSI/University of Pisa)
Introductory courses:
Let M be a matrix with nonnegative entries. Its nonnegative rank is the smallest natural number r such that M can be written as a sum of r rank one matrices whose entries are nonnegative. Nonnegative factorizations and nonnegative rank appear for example in machine learning, statistics and complexity theory. We will start the course with defining nonnegative rank, and learning about some of its properties and applications.
Nonnegative rank has a purely geometric characterization using nested polytopes. The geometric characterization has been useful for answering whether the nonnegative rank of a matrix with rational entries can differ over rational numbers and real numbers, studying uniqueness of nonnegative factorizations and obtaining better understanding of boundaries and semialgebraic characterizations of matrices of nonnegative rank at most r.
Discrete structures with symmetry abound in pure and applied mathematics. I will focus in particular on a recent theory of group actions on simplicial complexes and posets that aims at generalizing classical matroid theory. I will explain the basics and some general open questions related to phylogenetics, the theory of arrangements and Stanley-Reisner rings.
Contributed talks (Download abtracts)
- Graded algebras with cyclotomic Hilbert series - Alessio Borzì (University of Warwick)
- Algebraic and semi-algebraic phylogenetic reconstruction - Marina Garrote-López (Universitat Politècnica de Catalunya)
- Exact Solutions in Log-Concave Maximum Likelihood Estimation - Alexandros Grosdos (Technische Universität München)
- Cohen-Macaulay binomial edge ideals and accessible graphs - Antonio Macchia (Freie Universität Berlin)
- Rational general solutions of first-order algebraic ordinary differential equations - Johann Mitteramskogler (Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Linz, Austria)
- Singularities in visual servoing of five points using symmetries - Abhilash Nayak (Laboratoire des Sciences du Numérique de Nantes (LS2N), France)
- A central limit theorem for the two-sided descent statistic on Coxeter groups - Frank Röttger (Université de Genève)
- A combinatorial approach to Minkowski tensors of polytopes - Amy Wiebe (Freie Universität Berlin)
- Hyperbolic relaxation of locally PSD matrices - Shengding Sun
- Toric codes over hypersimplices - Delio Jaramillo
- Bounds on the regularity of quadratic monomial ideals - Jaewoo Jung
- Exploiting term sparcity in the moment-SOS hierarchy - Jie Wang
- Topological properties of random subcomplexes of the n-Cube - Kaelyn Willingham
- Generalized minimum distance functions and Reed-Muller-type codes - Rodrigo San José
- A cohomologial bundle theory for Khovanov's cube construction - Mihail Hurmuzov
- Properties of critical allowable sequences and configurations - Rimma Hämäläinen
- Nonnegative quadratics on Stanley Reisner varieties - Kevin Shu
- Reduction of 4 state evolution model to the binary case - Ernesto Álvarez
- When are two steady state ideals the same? - Mark Curiel
- Complete quadrics and algebraic statistics - Tim Seynnaeve
- Decoding in group codes - Fabián Ricardo Molina
- Inverting catalecticants of ternary quartics - Roser Homs
- Fusion rules for vertex algebras and applications - Veronika Pedić Tomić
- Signatures of paths and the shuffle algebra - Miruna-Stefana Sorea
Registration is now closed.
- Beatriz Pascual Escudero (University of Copenhagen)
- Angelica Torres (KTH royal Institute of Tecnhnology)
- Benjamin Smith (University of Manchester)
- Tobias Boege (Otto-von-Guericke-Universität Magdeburg)
- Abhilash Nayak (Laboratoire des Sciences du Numérique de Nantes (LS2N), France)
- Aenne Benjes (Goethe Universitat)
- Alaa Eddine Mahi (ENS)
- Alessio Borzì (University of Warwick)
- Alexandros Grosdos (Technische Universität München)
- Álvaro Samperio (Universidad de Valladolid)
- Amy Wiebe (Freie Universität Berlin)
- Andreas Kretschmer (Otto-von-Guericke-Universität Magdeburg)
- Andre Belotto da Silva (Aix-Marseille Universite)
- Andrew Tawfeek (University of Washington)
- Ángel González-Prieto (Universidad Autónoma de Madrid)
- Antonio Macchia (Freie Universität Berlin)
- Arthur Bik (MPI Leipzig)
- Benjamin Brück (ETH Zürich)
- Danai Deligeorgaki (KTH)
- Daniel Angel (Konrad Lorenz)
- Daniel Köhne (Universität Osnabrück)
- Delio Jaramillo (Cinvestav- IPN)
- Diego Caudillo (Norwegian University of Science and Technology)
- Elisenda Feliu (University of Copenhagen)
- Emanuele Verri (University of Greifswald)
- Eriola Hoxhaj (MSc)
- Ernesto Alvarez (Universidad Complutense de Madrid)
- Fabian Ricardo Molina Gomez (Universidad de Oviedo)
- Felix Rydell (KTH)
- Francesco Strazzanti (University of Bologna)
- Frank Röttger (Université de Genève)
- Harshit Jitendra (Ghent University)
- Jaewoo Jung (Georgia Institute of Technology)
- Jiayue Qi (Johannes Kepler University Linz)
- Jie Wang (LAAS-CNRS)
- Johann Mitteramskogler (Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria)
- Johanna Steinmeyer (Hebrew University of Jerusalem & University of Copenhagen)
- Joseph Wall (Lancaster University)
- Kaelyn Willingham (Ohio State University)
- Kevin Shu (Georgia Institute of Technology)
- Leonard Schmitz (RWTH Aachen)
- Leonardo Saud Maia Leite (KTH Royal Institute of Technology)
- Lorenzo Venturello (KTH Royal Institute of Technology)
- Luisantos Bonilla (Universidad de Valladolid)
- Lukas Gustafsson (KTH Sweden)
- Marc Basquens Muñoz (Universidad Carlos III de Madrid)
- Marina Garrote-López (Universitat Politècnica de Catalunya)
- Mark Curiel (University of Hawai at Manoa)
- Markel Epelde (University of the Basque Country)
- Máté Telek (University of Copenhagen)
- Meltem Unel (Copenhagen University)
- Mihail Hurmuzov (University of York)
- Mircea Petrache (PUC Chile)
- Miruna-Stefana Sorea (SISSA, Trieste, Italy)
- Oliver Clarke (University of Bristol)
- Oskar Henriksson (University of Copenhagen)
- Pierpaola Santarsiero (University of Trento)
- Rimma Hamalainen (California State University Northridge)
- Rodrigo San José Rubio (Universidad de Valladolid)
- Roser Homs Pons (Technische Universität München)
- Sami Barhoumi (Community College of Qatar)
- Seyma Bodur (Universidad de Valladolid)
- Tim Seynnaeve (University of Bern)
- Veronika Pedić Tomić (University of Zagreb)
- Victor Magron (CNRS LAAS)
- Wenwen Li (University of Oklahoma)
- Xiangying Chen (Otto-von-Guericke-Universität Magdeburg)
- Yannic Vargas (Postdam University)
Schedule
Funding
The meeting is supported by the Carlsberg Foundation.
