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СпутникиРНSpaceXРоскосмосNASASpeaker: Sujatha RamdoraiSpeaker Affiliation: UBCSeptember 21, 2026MATH 126
CanadaView All EventsAbstract: Let E be an elliptic curve over an imaginary quadratic number field K and let p be an odd prime number. Greenberg introduced a topology for the family of linearly independent Z_p extensions of F for any number field F. A conjecture of Mazur predicts that the growth of rational points of E along a Z_p extension of K is bounded unless the extension is the anticyclotomic extension, and the root number of E over K is -1. We study the growth of rational points of E in the family of Z_p extensions and its implications for Mazur's conjecture.
Mazur's conjecture and rational points of elliptic curves in a family of Z_p-extensions.Event Topic:
Number Theory
Speaker:
Sujatha Ramdorai
Speaker Affiliation:
UBC
September 21, 2026
MATH 126
Canada
Abstract:
Let E be an elliptic curve over an imaginary quadratic number field K and let p be an odd prime number. Greenberg introduced a topology for the family of linearly independent Z_p extensions of F for any number field F. A conjecture of Mazur predicts that the growth of rational points of E along a Z_p extension of K is bounded unless the extension is the anticyclotomic extension, and the root number of E over K is -1. We study the growth of rational points of E in the family of Z_p extensions and its implications for Mazur's conjecture.
Event Topic:
September 21, 2026
4:15pm
MATH 126
, , CA
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