Pure Maths Colloquium: Euler characteristics of p-adic Lie groups and arithmetic
8 January 2001 16:00 in CM221
"P-adic Lie groups arise naturally in arithmetic as the image of the absolute Galois groups of number fields in the automorphism group of finite dimensional Galois representations over the field Qp of p-adic numbers. I shall begin my lecture by discussing some general results on the Euler characteristics of these finite dimensional representations proven recently in joint work with R. Sujatha and J-P. Wintenberger. I shall then discuss the Euler characteristic of a certain infinite dimensional representation attached to an elliptic curve, and its connexion with the conjecture of Birch and Swinnerton-Dyer."
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