CORDIS Project
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This research group will explore the connections between automorphic forms and Galois representations, focusing on proving conjectures in number theory. The work aims to develop new techniques that bridge different areas of mathematical research.
I propose to establish a research group to develop completely new tools in order to solve three important problems on the relationships between automorphic forms and Galois representations, which lie at the heart of the Langlands program.
The first is to prove Serre’s conjecture for real quadratic fields. I will use automorphic induction to transfer the problem to U(4) over the rational numbers, where I will use automorphy lifting theorems and results on the weight part of Serre's conjecture tha…
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