James Newton (London)

will speak on

Symmetric power functoriality for modular forms

Time: 2:00PM
Date: Thu 26th November 2020
Location: Online [map]

Further information

Abstract: One prediction of the Langlands program is that all 'reasonable' L-functions should arise from automorphic forms. For example, the modularity theorem of Wiles, Breuil, Conrad, Diamond and Taylor identifies the Hasse-Weil L-function of an elliptic curve defined over the rationals with the L-function of a modular form. More generally, the symmetric power L-functions of elliptic curves should be the L-functions of higher rank automorphic forms. This prediction is closely related to the arithmetic of the elliptic curve (e.g. the Sato-Tate conjecture). I will discuss this circle of ideas, including some recent work with Jack Thorne in which we prove automorphy of these symmetric power L-functions.

Zoom Link: https://ucd-ie.zoom.us/j/95697362979?pwd=U2k2L2VuZ1RVd2NmWldQTEt5VFFLZz09

Passcode: The numerator of Riemann zeta at -11.

(This talk is part of the Algebra and Number Theory series.)

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