Activities
Discrete mathematics has a longstanding tradition of generating and utilizing data to substantiate theories. Conversely, questions regarding the systematic generation of (counter)examples drives research.
This 2day “noontonoon” workshop is dedicated to the interplay of discrete data and discrete structures from a contemporary perspective. How FAIR is our data? How can modern technology help to analyze and interpret discrete data? Which connections to the sciences become visible through data? We approach these questions “handson” with invited lectures and panel discussions.
We will be celebrating Günter M. Ziegler's 60th birthday with a 1.5day workshop. The workshop relates to the Gunter's contributions to geometry, topology, and the mathematical community. Please join us for a festive event with many of Günter's students, postdocs, and longterm companions. The first day concludes with a joint dinner.
This workshop will serve as a forum for scientific exchange and coordination of project proposals. The speakers are Paolo Benincasa (MPI Physics), Sarah Brauner (Minnesota/MPIMiS), Mareike Fischer (Greifswald), Irem Portakal (TU München), Frank Vallentin (Köln), and Michael Walter (Bochum).
Barcamp on researchdata management in mathematics. The event will provide a forum to exchange expertise and questions in the field of mathematicsspecific researchdata management (RDM) and existing best practices. It is aimed at all researchers dealing with mathematical research data. In a Barcamp, the topics are decided on by the participants. This means that the focus will be very specific to the research questions and needs of the attendees. Questions could be: "What exactly does your community need?", "What works well and what doesn't?" or "How do young researchers or young projects implement 'good' RDM structures in the first place and what has proven successful?"
The main speakers of this session will be Bertrand EYNARD (CEA/IPHT Saclay) and Ilse FISCHER (Universität Wien). There will be time for a limited number of talks by participants (about 25 minutes each talk).
This year's speaker for the Chow lectures is June Huh (Princeton University).
Every researcher in every research discipline has research data. Only, you may not call it data (yet).
To generate new math results, we build on previous results, perform own observations and thought experiments, try and fail many times until a proof is completed, find a little help from a colleague, and maybe use a computer to run a quick or complex computation. Isn’t all this just collecting data?
In this oneday course that was specifically designed for researchers in mathematics, we will learn and experience what mathematical research data is and how we can organize, document, and possibly publish it.
The second MaRDI Barcamp on researchdata management in mathematics hosted by the Mathematical Research Data Initiative (MaRDI) will take place on October 20th 2023 at the OttovonGuericke University of Magdeburg.
The event will provide a forum to exchange expertise and questions in the field of mathematicsspecific researchdata management and existing best practices. It is aimed at all researchers dealing with mathematical research data as well as at people from large mathematical research projects such as CRCs, priority programs or clusters of excellence.
What is a Barcamp? After short initial talks the topics are decided on by the participants. This means that the focus will be very specific to the research questions and needs of the attendees. Possible questions and topics we hope to address are: "What exactly does your community need?", "What works well and what doesn't?" or "How do young researchers or young projects implement 'good' RDM structures in the first place and what has proven successful?" We do not assume any prior knowledge with data management.
A “coworkspace” is a place where people come together to work together or simply sidebyside. The goal of our “combinatorial coworkspace” is to give a group of motivated young and promising as well as established mathematicians such a place to explore new directions, applications, cooperations, and alliances within combinatorics and beyond. A context is provided by a suitable number of tutorials and lectures and the beautiful location encourages to take mathematical thoughts outdoors.
The 2024 edition of the Graduate Student Meeting on Applied Algebra and Combinatorics will take place in Berlin, April 1012. This is an opportunity for graduate students and postdocs interested in algebra and combinatorics and their applications to meet each other, communicate their research, and form new collaborations.
Over the course of three days, participants will get the chance to take part in two minicourses held by Georg Loho (he/him) and İrem Portakal (she/her) with interactive exercise sessions, a poster session, several contributed talks, software demonstrations, as well as an open problem session.
This oneweek course offers an introduction to recent advances in combinatorics and algebraic geometry that were inspired by themes from particle physics, such as scattering amplitudes and Feynman integrals.
There will be a series of four talks by Uli Walther (Purdue University, USA) on (1) Matroids, matroidal polynomials, examples of these, including Kirchhoff polynomials, configuration polynomials, multivariable Tutte polynomials, matroid support polynomials. (2) Feynman diagrams and Feynman integrands (which are also matroidal). A discussion on torus actions on these hypersurfaces. The singular locus of certain matroidal polynomials: for configuration polynomials when the matroid is sufficiently connected, discuss irreducibility, size of singular locus, comparison between Jacobian ideal and a certain corank 2 determinantal ideal, CohenMacaulayness of these. The special case of the free resolution of the singular locus of the Kirchhoff polynomial of a complete graph. (3) For matroidal polynomials in general, it will be explained that they have rational singularities, and in the homogeneous case that they are Fregular. (4) Time permitting there will also be a discussion about the resolution of singularities.
CAP (shorthand for Categories, Algorithms, Programming) is a software project for algorithmic category theory written in GAP. It facilitates both the realization of specific instances of categories and the implementation of generic categorical algorithms.
The workshop is split into three kinds of activities:

Introductory talks about algorithmic category theory (ALCT), CAP as a dialect of ALCT, and CompilerForCAP.

An explicit live showcase implementation of a category constructor and an explicit categorical tower.

Exercise sessions implementing categorical algorithms in CAP. Participants are also invited to implement their own work in CAP and we will be happy to provide help.
The workshop aims at mathematicians, physicists, and computer scientists who want to learn about applications of algorithmic category theory and how CAP can be used to structure implementations in a categorical way.
The Discrete Mathematics Days 2024 (DMD 2024) will be held in Alcalá de Henares, Spain, on July 35, 2024. The program consists of four plenary talks (Julia Böttcher, LSE London; Irit Dinur, Weizmann Institute Rehovot; Arnau Padrol, U. Barcelona; Alex Scott, U. Oxford), a prize talk by the awardee of the Ramon Llull prize, a number of shorter contributed talks, and a poster session. This 2024 edition is a satellite conference of the 9th European Congress of Mathematics.
This summer school is a satellite event of FPSAC 2024 which takes place the week after at RuhrUniversity Bochum. Three outstanding speakers (Chris Eur, Greta Panova and Vic Reiner) will present short courses on current topics in Algebraic Combinatorics.
One of the worldleading conference series in combinatorics will take place in Bochum (Germany) in 2024. All members of the network and the priority programme are invited to participate and submit their best work.
This kickoff conference will encompass the entire research profile of CRCTRR 358 of Bielefeld and Paderborn University. The format will consist of two plenary lectures every day before lunch. In the afternoon, we will run six parallel sessions.
Among the six parallel sessions, there will be a session on “Experimental methods in algebra, geometry and number theory" with a thematic focus on combinatorial synergies.
For the first Annual Conference of the program, we will meet in Osnabrück at BohnenkampHaus im Botanischen Garten. Details can be found on the website of the conference.
The workshop "Wachspress Geometry" will take place on September 24 and 25, at the University of Leipzig.
Wachspress Geometry is a young subject that studies the socalled Wachspress objects, a family of closely related mathematical objects defined on convex polytopes that were found to arise in a surprising variety of contexts, including algebraic and convex geometry, polyhedral combinatorics, spectral graph theory, rigidity theory, statistics and Positive Geometry.
The workshop has the following goals:

to introduce Wachspress Geometry to a broad audience and to present its connection to Positive Geometry.

to bring together experts on the various aspects of Wachspress Geometry to explore the interactions between their perspectives.

to join them with experts on Positive Geometry to together develop the tools of Wachspress Geometry beyond convex polytopes.
A workshop on tropical geometry with a focus on moduli spaces and matroids.
Many algebraic counting problems give rise to integer sequences that hold information which is best accessed by encoding these numbers in appropriate generating functions. Numerous classical zeta and Lfunctions testify to this principle: Dirichlet’s zeta function enumerates ideals of a number field; Witten’s zeta function counts representations of Lie groups; Hasse– Weil zeta functions encode the numbers of rational points of algebraic varieties over finite fields. Analytic and arithmetic properties of these zeta functions hold or are expected to hold, the key to a treasure trove of information about the underlying structures. Zeta functions of groups and rings are invaluable tools in asymptotic group theory and ring theory. Often, they admit Euler product decompositions, with rational local factors that reflect regularity of structure in the underlying data.
We aim to bring together experts in the various relevant subject areas, including those in zeta functions of groups and rings and—crucially—in adjacent combinatorial areas, enabling them to address some of the outstanding problems in this field.
We will train young researchers to invite them to this vibrant area of enumerative algebra, give them the tools to both contribute to this area of asymptotic group and ring theory and relate it to their own area of expertise.
Matroids, Mconvexity, and buildings are combinatorial abstractions of geometry that form the basis for the mindset of ``doing geometry without geometry''. Embracing this mindset has led to new perspectives for instance on volume polynomials and logconcavity (via Lorentzian polynomials), intersection theory (via combinatorial Chow rings), and flag manifolds (via flag matroids). The consequences are spectacular. This workshop aims at bringing together experts and aspiring experts from various areas of geometry and combinatorics to further explore the possibilities and implications of this approach.
The main speakers of this session will be announced in due time. There will be time for a limited number of 25minutes talks by participants.