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School of Mathematics and Statistics
Computational Algebra Group

Carslaw building

Algebra Seminar
Algebraic Geometry Seminar
Computational Algebra Seminar
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University of Sydney

School of Mathematics and Statistics

Computational Arithmetic Geometry Seminar

10:05 - 10.55 (+ epilogue until 11.30) in Carslaw 453 on Friday 4 April

Mark Kisin

Geometric deformations of modular Galois representations

Let f be a modular eigenform, and V_f the associated representation of the absolute Galois group of Q. I will explain a result which says that V_f does not admit any first order deformations which arise from geometry. This is a special case of the conjectures of Deligne and Beilinson which relate extensions of motives and special values of L-functions.

I will explain the philosophy and motivation underlying this result, and give an application to universal deformation rings of Galois representations.