3 papers
math.AG2002
Non-commutative compactifications and elliptic curves
Yan Soibelman, Vadim Vologodsky
We study non-commutative degenerations of elliptic curves over local fields. The corresponding objects are close relatives of non-commutative tori of Connes and Rieffel.
math.AG2001
Hodge structure on the fundamental group and its application to p-adic integration
Vadim Vologodsky
We study the unipotent completion of the de Rham fundamental groupoid [De] of a smooth algebraic variety over a local non-archimedean field K of charac…
math.AG1999
Gamma-functions of representations and lifting
Alexander Braverman, David Kazhdan, V. Vologodsky
Let G be the group of points of a quasi-split reductive algebraic group over a local field F. It follows from the local Langlands conjectures that to every non-trivial additive cha…