| Tuesday 23 April 2024 | |
| Events for day: Wednesday 10 May 2023 |
| 14:00 - 15:00 Combinatorics and Computing Weekly Seminar Some Open (and solvable) Problems in the Game of Cops and Robbers School MATHEMATICS Cops and Robbers is a two-player game on graphs, one of the players controls the robber while the other one controls all the cops. First, the cops will choose their initial positions and then the robber, knowing the location of each cop, decides his the starting vertex. Then in each step, first the cops and then the robber move. Obviously, the goal of cops is to catch the robber and the goal of the robber is to prevent this from happening. In the last couple of years, this game has received lots of attentions in the field of graph theory and several versions of the game has been introduced. Different versions of this game work with different ... 17:30 - 19:00 Algebraic Geometry Biweekly Webinar Polynomial Invariants for Triangulated Categories with Full Exceptional Sequences School MATHEMATICS For a full exceptional sequence of vector bundles on the projective plane there is a remarkable equation, the so-called Markov equation, in terms of the ranks of the three vector bundles. This equation, slightly modified, has been used in a joint work with Beineke and Brustle for cluster mutations for quivers with three vertices. The aim of this talk is to define the natural generalization for full exceptional sequences with n members. This leads to the notion of a polynomial invariant, that is a polynomial in indeterminants x(i,j) for i < j between 1 and n. This allows to evaluate such a polynomial at any full exceptional sequence. We define ... |