| Friday 19 April 2024 | |
| Events for day: Wednesday 03 May 2023 |
| 14:00 - 15:00 Combinatorics and Computing Weekly Seminar On Chromatic Stability Numbers in Graphs School MATHEMATICS The chromatic vertex (resp. edge) stability number $vschileft(G ight)$ (resp. $eschileft(G ight)$) of a graph $G$ is the minimum number of vertices (resp. edges) whose deletion results in a graph $H$ with $chi(H) = chi(G)-1$. We have proved that if $G$ is a graph with $chi(G)in left{Delta(G), Delta(G) + 1 ight}$, then $vschileft(G ight)=ivschileft(G ight)$, where $ivschileft(G ight)$ is the independent chromatic vertex stability number. The result need not hold for graphs $G$ with $chi(G) leq left(Delta(G)+1 ight)/2$. It is proved that if $chi(G) > Delta(G)/2 + 1$, then $vschi(G)=eschi(G)$. A Nordhaus-Gaddum-type result on the chromatic vert ... 16:00 - 17:00 Mathematics Colloquium - online Perspectives in Scalar Curvature School MATHEMATICS Manifolds with their scalar curvatures bounded from below display flexibility of shapes similar to what happens in the geometric and in the symplectic topology. The problem of evaluating the limits to this flexibility is inseparable from the index theory of Dirac operators and the geometric measure theory. Venue: Online via zoom: https://us06web.zoom.us/j/9086116889?pwd=WGRFOGZWZ1FOMXJrcWpJMWFqUFIvQT09 Meeting ID: 908 611 6889 Passcode: 362880 Subscribing the Mathematics Colloquium mailing list: https://groups.google.com/g/ipm-math-colloquium ... 17:30 - 19:00 Number Theory Webinar Tame Class Field Theory School MATHEMATICS As a part of global class field theory, we construct a reciprocity map that describes the unramified (resp. tame) etale fundamental group as a pro-completion of a suitable idele class group (resp. tame idele class group) for smooth curves over finite fields. These results were extended to higher-dimensional smooth varieties over finite fields by Kato-Saito (unramified case, in 1986) and Schmidt-Spiess (tame case, in 2000). We begin the talk by recalling these results. The main focus of the talk is to work with smooth varieties over local fields. The class field theory over local fields is not as nice as that over finite fields. We discuss ... |