![[1239] The geometrization of the local Langlands correspondence, after Fargues and Scholze](/media/cache/video_light/uploads/video/Bourbaki.png)

[1239] The geometrization of the local Langlands correspondence, after Fargues and Scholze
De Ana Caraiani


Extremal eigenvectors, the spectral action, and the zeta spectral triple
De Alain Connes
De Yan Bo Ti
Apparaît dans la collection : AGCT - Arithmetic, Geometry, Cryptography and Coding Theory / AGCT - Arithmétique, géométrie, cryptographie et théorie des codes 2023
It is an understatement to say that isogeny-based cryptography has been on a journey of ups and downs. Through the course of this journey, various techniques have been used to analyse isogeny-based cryptosystems. One of which, is using genus two methods to examine and build isogeny-based cryptosystems, and ultimately break one of the most promising key exchange schemes, SIDH. In this talk, we will look at cameos and appearances of genus two in isogeny-based cryptography. We will survey the landscape and see how genus two can be used constructively and sometimes destructively on isogeny-based cryptography.