Projects
Deformation theory of algebraic structures and Deligne conjecture. University of Antwerp
Algebraic deformation techniques in geometric contexts. University of Antwerp
Greenberg schemes and the motivis Serre invariant. KU Leuven
In this thesis, we use logarithmic methods to study motivic objects.
Let R be a complete discrete valuation ring with perfect residue field k, and denote by K its fraction field.
We give in chapter 2 a new construction of the motivic Serre invariant of a smooth K-variety and extend it additively to arbitrary K-varieties.
The main advantage of this construction is to rely only on resolution of singularities and not on a ...
Non-commutative deformations of saturated spaces. University of Antwerp
Algebraic Geometry. KU Leuven
This thesis is devoted to the study of certain cases of a conjecture of Greenberg and Benois on derivative of p-adic L-functions using the method of Greenberg and Stevens. We first prove this conjecture in the case of the symmetric square of a parallel weight 2 Hilbertmodular form over a totally real field where p is inert and whose associated automorphic representation is Steinberg in p, assuming certain hypotheses on the conductor. This ...