02.10.2017 um 16:15 Uhr in 69/125:
Javier A. Carvajal-Rojas (University of Utah)
Finite torsors over strongly F-regular singularities
We will present an extension of the work by K. Schwede, K. Tucker and myself on local étale fundamental groups of (strongly) F-regular singularities. We will discuss the existence of finite torsors over the regular locus of these singularities that do not come from restricting a torsor over the whole spectrum. In the process we will prove that canonical covers of F-regular (resp. F-pure) local rings are F-regular (resp. F-pure), as well as bounding the torsion of: (locally) the Picard group of F-regular singularities and (globally) the divisor class group of globally F-regular varieties.
05.12.2017 um 16:15 Uhr in 69/125:
Bogdan Ichim (University of Bucharest, Romania)
An introduction to voting theory
We describe several experimental results obtained in four candidates voting theory. These include the Condorcet and Borda paradoxes, as well as the Condorcet efficiency of plurality voting with runoff. The computations are done by Normaliz. It finds precise probabilities as volumes of polytopes and counting functions encoded as Ehrhart series of polytopes.