Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Augsburger Mathematisches Kolloquium

 

Dr. Luca De Feo
IBM Research Europe

 
spricht am
 
Dienstag, 5. Dezember 2023
 
um
 
17:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»A guided tour of isogeny-based cryptography«

Abstract:
As you read this text, your browser is tirelessly performing computations on an elliptic curve (the more third party trackers, the more computations, yay!). For 20 years now, elliptic curves have been the mainstay of public key cryptography, but the world is changing. As research on quantum computers slowly progresses, we are in desperate need of new forms of cryptography which, unlike elliptic curves, are not attacked by quantum algorithms.

Enter isogenies of elliptic curves (and higher dimensional abelian varieties). First proposed as a foundation for cryptography at the turn of the century, they have in recent times attracted a considerable amount of interest, thanks to their versatility, efficiency and, of course, quantum-resistance. In an interesting twist of events, possibly the most famous isogeny-based scheme, SIKE, fell victim to a devastating *classical* attack in the summer of 2022. Nevertheless the field of isogeny-based cryptography continues to expand, as the influx of researchers keeps growing.

In this talk I will introduce the may concepts of isogeny-based cryptography, and survey the most active topics currently researched.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Maxim Smirnov
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).



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