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)
Schedule (preliminary version)
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)
To register in the meeting please fill out the registration form before April 15. Poster contributions are welcome!
- Beatriz Pascual Escudero (University of Copenhagen)
- Angelica Torres (KTH Stockholm)
- Benjamin Smith (University of Manchester)
- Tobias Boege (Otto-von-Guericke-Universität Magdeburg)
- Abhilash Nayak (Laboratoire des Sciences du Numérique de Nantes (LS2N), France)
- 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)
- Andrew Tawfeek (University of Washington)
- Antonio Macchia (Freie Universität Berlin)
- Benjamin Brück (ETH Zürich)
- Danai Deligeorgaki (KTH)
- Daniel Köhne (Universität Osnabrück)
- Elisenda Feliu (University of Copenhagen)
- Emanuele Verri (University of Greifswald)
- Ernesto Alvarez (Universidad Complutense de Madrid)
- Felix Rydell (KTH)
- Francesco Strazzanti (University of Bologna)
- Frank Röttger (Université de Genève)
- Jiayue Qi (Johannes Kepler University Linz)
- Jie Wang (LAAS-CNRS)
- Johann Mitteramskogler (Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria)
- Joseph Wall (Lancaster University)
- 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)
- Máté Telek (University of Copenhagen)
- 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)
- Rodrigo San José Rubio (Universidad de Valladolid)
- Roser Homs Pons (Technische Universität München)
- Seyma Bodur (Universidad de Valladolid)
- Veronika Pedić Tomić (University of Zagreb)
- Victor Magron (CNRS LAAS)
- Wenwen Li (University of Oklahoma)
- Xiangying Chen (Otto-von-Guericke-Universität Magdeburg)
Schedule
Funding
The meeting is supported by the Carlsberg Foundation.
