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The Bridges Organization is an organization that was founded in Kansas, United States, in 1998 with the goal of promoting interdisciplinary work in mathematics and art. [2] [3] The Bridges Conference is an annual conference on connections between art and mathematics.
In mathematics, the Langlands program is a set of conjectures about connections between number theory and geometry.It was proposed by Robert Langlands (1967, 1970).It seeks to relate Galois groups in algebraic number theory to automorphic forms and representation theory of algebraic groups over local fields and adeles.
The Seven Bridges of Königsberg is a historically notable problem in mathematics. Its negative resolution by Leonhard Euler , in 1736, [ 1 ] laid the foundations of graph theory and prefigured the idea of topology .
Robert Phelan Langlands, CC FRS FRSC (/ ˈ l æ ŋ l ə n d z /; born October 6, 1936) is a Canadian mathematician. [1] [2] He is best known as the founder of the Langlands program, a vast web of conjectures and results connecting representation theory and automorphic forms to the study of Galois groups in number theory, [3] [4] for which he received the 2018 Abel Prize.
The theory of "toposes as bridges" can be considered a meta-mathematical theory of the relations between different theories [11] and her program contributes to realizing the unifying potential of the notion of topos already glimpsed by Alexander Grothendieck. [12] Caramello organized international conferences in topos theory, "Topos à l'IHES ...
She was elected as a Fellow of the American Mathematical Society in the 2020 Class, for "contributions to arithmetic geometry and number theory, in particular the -adic Langlands program". [15] She is one of the 2020 winners of the EMS Prize. [16] In September 2022 she was awarded the 2023 New Horizons in Mathematics Prize. [17]
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