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Audiovisual Mathematics Library

Audiovisual Mathematics Library

Documents 11Z05 5 results

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Random matrices, integrability, and number theory - Lecture 4 - Keating, Jonathan P. (Author of the conference) | CIRM H

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I will give an overview of connections between Random Matrix Theory and Number Theory, in particular connections with the theory of the Riemann zeta-function and zeta functions defined in function fields. I will then discuss recent developments in which integrability plays an important role. These include the statistics of extreme values and connections with the theory of log-correlated Gaussian fields.

11M06 ; 15B52 ; 11Z05

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Random matrices, integrability, and number theory - Lecture 1 - Keating, Jonathan P. (Author of the conference) | CIRM H

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I will give an overview of connections between Random Matrix Theory and Number Theory, in particular connections with the theory of the Riemann zeta-function and zeta functions defined in function fields. I will then discuss recent developments in which integrability plays an important role. These include the statistics of extreme values and connections with the theory of log-correlated Gaussian fields.

11M06 ; 15B52 ; 11Z05

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Random matrices, integrability, and number theory - Lecture 2 - Keating, Jonathan P. (Author of the conference) | CIRM H

Multi angle

I will give an overview of connections between Random Matrix Theory and Number Theory, in particular connections with the theory of the Riemann zeta-function and zeta functions defined in function fields. I will then discuss recent developments in which integrability plays an important role. These include the statistics of extreme values and connections with the theory of log-correlated Gaussian fields.

11M06 ; 15B52 ; 11Z05

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Random matrices, integrability, and number theory - Lecture 3 - Keating, Jonathan P. (Author of the conference) | CIRM H

Multi angle

I will give an overview of connections between Random Matrix Theory and Number Theory, in particular connections with the theory of the Riemann zeta-function and zeta functions defined in function fields. I will then discuss recent developments in which integrability plays an important role. These include the statistics of extreme values and connections with the theory of log-correlated Gaussian fields.

11M06 ; 15B52 ; 11Z05

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Isogeny-based cryptography on the (abelian) surface - Ti, Yan Bo (Author of the conference) | CIRM H

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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.[-]
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 ...[+]

11Z05 ; 14G50 ; 94A60

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