Abstracts of some talks
Fedor Bogomolov (Univ. of Nottingham/Courant Institute)
Projective geometry and non-archimedean valuations
Producing valuations from group theoretical data is a central aspect of nonabelian geometry. This talk will present a simple method to achieve that using projective geometry and a theorem on three points.
Ted Chinburg (Univ. of Pennsylvania)
Riemann-Roch theorems and adeles on surfaces
In this talk I will start by reviewing Euler characteristics for coherent sheaves and some classical Riemann-Roch formulas for them. I will then discuss Euler characteristics for sheaves on which a finite group acts. By the end of the talk I will describe an adelic Riemann-Roch formula on surfaces for sheaves having an action by a finite possibly non-commutative group. I will try to emphasize examples as well as open problems connected with such formulas.
Amnon Yekutieli (Ben Gurion Univ)
High Dimensional Topological Local Fields and Residues
An n-dimensional topological local field (TLF) is a field K, endowed with a rank n valuation, and a compatible topology. TLFs arise as Beilinson completions of function fields of n-dimensional algebraic varieties along chains of points. The main feature discussed in the talk is the residue functional, which is a high dimensional generalization of the usual residue functional from the theory of complex analytic curves.
If time permits I will also talk about some applications of the residue functional, and on the Beilinson-Tate approach to residues.
Notes are available at this page