Speaker: Ashay Burungale
Affiliation: University of Texas
Title: Vanishing of the mu-invariant of Rubin’s p-adic L-function
Date and Time: May 12, 2025, 16:00:00 Hours
Venue: AG-77
Abstract: In 1987 Rubin constructed an integral p-adic L-function for anticyclotomic Z_p-deformation of a CM elliptic curve for odd primes p inert in the CM field. We discuss the recent vanishing of its mu-invariant based on arithmetic of a definite quaternion algebra and progress following proof of Rubin’s conjecture (joint with W. He, Kobayashi and K. Ota).
Affiliation: University of Texas
Title: Vanishing of the mu-invariant of Rubin’s p-adic L-function
Date and Time: May 12, 2025, 16:00:00 Hours
Venue: AG-77
Abstract: In 1987 Rubin constructed an integral p-adic L-function for anticyclotomic Z_p-deformation of a CM elliptic curve for odd primes p inert in the CM field. We discuss the recent vanishing of its mu-invariant based on arithmetic of a definite quaternion algebra and progress following proof of Rubin’s conjecture (joint with W. He, Kobayashi and K. Ota).