Forthcoming events in this series
16:00
Valuation of P-adic L-functions and Multiplicative Euler Characterisitcs in Etale Cohomology
09:30
Convergence Polygon of a connection and differential Grothendieck-Ogg-Shafervich formula for Covering of a p-adic Analytic Curves
10:00
Rational Points over Finite Fields for Regular Models of Algebraic Varieties of Hodge level at least 1
14:00
11:30
The Average Ranks of Elliptic 3-Folds and the Zeta Function of Singular Hypersurfaces
14:00
On the field with one element
Abstract
We shall explain how to give substance to an old dream of Tits, to invent exotic new zeta functions, and discover the skeleton of algebraic varieties (toric manifolds and tropial geometry).
11:00
On the field with one element
Abstract
We shall explain how to give substance to an old dream of Tits, to invent exotic new zeta functions, and discover the skeleton of algebraic varieties (toric manifolds and tropical geometry).
17:00
On the field with one element
Abstract
We shall explain how to give substance to an old dream of Tits, to invent exotic new zeta functions, and discover the skeleton of algebraic varieties (toric manifolds and tropical geometry).
Decomposition theorem for abelian fibrations
Abstract
Derived direct image of a proper map with smooth source is a direct sum of simple perverse sheaves with shifts in the degrees. The supports of these simple perverse sheaves are obviously important topological invariants of the map. In general, it is difficult to determine these supports. This is possible for an abelian fibration under some assumptions. This determination has some amazing consequences on equality of number of points of certain algebraic varieties over finite fields and in particular, it implies the so called fundamental lemma in Langlands' program.
17:00