| Friday 17 May 2024 | |
| Events for day: Wednesday 01 May 2024 |
| 14:00 - 15:00 Combinatorics and Computing Weekly Seminar Size Multipartite Ramsey Numbers of Graphs School MATHEMATICS Given two graphs $H$ and $G$, the size multipartite Ramsey number $ m_j (H,G )$ is the smallest natural number $t$ such that an arbitrary coloring of the edges of $K_{j imes t}$, complete multipartite graph whose vertex set is partitioned into $j$ parts each of size $t$, using two colors red and blue, necessarily forces a red copy of $H$ or a blue copy of $G$ as a subgraph. The notion of size multipartite Ramsey number has been introduced by Burger and Vuuren in 2004. It is worth noting that, this concept is derived by u ... 15:30 - 17:00 Geometry and Topology Weekly Seminar Automorphic Functions and Parity via Dynamics School MATHEMATICS The interplay of the geometric and the spectral properties of Riemannian manifolds are highly influential in essentially all areas of mathematics, but are far from being fully understood. Some of the recent advancements in understanding this relation could be achieved by means of transfer operators. I shall overview some recent developments in this area with a focus on hyperbolic surfaces, automorphic functions, resonances and the dynamics of the geodesic flow and with an emphasis on insights and heuristics. In particular, I will, at the example of Hecke triangle groups, discuss how an outer symmetry in the dynamics tran ... 17:30 - 19:00 Algebraic Geometry Biweekly Webinar Hironaka's Question F and its Simplification School MATHEMATICS A special case of Hironaka's QUESTION F, named F', asks about the strong factorization of birational maps between reduced nonsingular algebraic schemes, which is still open. Suppose that $varphi : Xdashrightarrow Y$ is such a map, and let $Usubset X$ be the open subset where $varphi$ is an isomorphism. This problem asks if there exists a diagram $$xymatrix{ & Z ar[dl]_{varphi_{1}}ar[dr]^{varphi_{2}}X ar[rr]^{varphi} & & Y}$$ where the morphisms $varphi_{1}$ and $varphi_{2}$ are sequences of blow-ups of non-singular centers disjoint from $U$. In this talk, we will discuss how strong factorization can be simplified by providing a complete ... |