Category: seminars
Permutahedral matchings, zonotopal tilings, and d-partitions
In this talk I will present higher dimensional generalizations of the following three concepts:
- (a) perfect matchings of a hexagonal tiling,
- (b) rhombus tilings of a hexagon, and
- (c) plane partitions.
I will show that these generalizations are equivalent under certain specific bijections. The generalizations of (b) and (c) have ...
Brauer-Thrall Conjectures, Old and New!
\(\tau\)-tilting theory is an elegant-- but technical-- subject in representation theory of associative algebras, with motivations from cluster algebras. It was introduced by Adachi-Iyama-Reiten, in 2014. However, thanks to the recent result of Demonet-Iyama-Jasso, one can fully phrase the concept of \(\tau\)-tilting finiteness in terms of linear algebra ...
Geometry of random permutation factorizations
We study random minimal factorizations of the \(n\)-cycle into transpositions, that is, factorizations of the cycle \((1 2...n)\) into a product of \(n-1\) transpositions. It is known that these factorizations are in bijection with Cayley trees of size \(n\), and therefore that there are \(n^{n-2}\) of them ...
Séminaire ouvert
Lors d'un séminaire ouvert, le thème n'est pas décidé à l'avance. Tous les membres du séminaires sont invités à participer et peuvent proposer le jour même des interventions plus ou moins longues, des démos ou des questions ouvertes au reste de l'équipe.
Matchings and related structures with Specified Color Properties In Vertex- or Edge-colored Graphs.
summary: We consider problems in edge- or vertex colored graphs. As an example, the Web graph may be considered as a vertex-colored graph where the color of a vertex represents the content of the corresponding page (red for mathematics, yellow for physics, etc.). When the edges/vertices of graphs are ...
Bounded P-partition and Flagged P-partition
Travaux en commun avec Sami Assaf.
Overcoming interference in the beeping communication model
summary: Small inexpensive inter-communicating electronic devices have become widely available. Although the individual device has severely limited capabilities (e.g., basic communication, constant-size memory or limited mobility), multitudes of such weak devices communicating together are able to form low-cost, easily deployable, yet highly performant networks. Such distributed systems present significant ...
The Domino Problem is undecidable on surface groups
summary: The domino problem for a finitely generated group asks whether there exists an algorithm which takes as input a finite alphabet and finitely many Wang tiles, and decides whether there exists a tiling of the group by this set of tiles. I will survey known results and present the ...
Improved bounds for centered colorings
A vertex coloring \phi of G is p-centered for each connected subgraph H of G either \phi uses more than p colors on H or or there is a color that appears exactly once on H. Centered colorings form one of the families of parameters that allow to capture notions ...
Scalable Load Balancing - Distributed Algorithms and the Packing Model
summary: Load imbalance is a recurring problem in High Performance Computing (HPC), which leads to suboptimal performance via the under-use of available resources. As computing systems grow larger, resource management and load balancing become a costly process, especially for dynamic applications that demand periodical workload balance. With this in mind ...