Title: A Survey on Supersingular Abelian Varieties

Speaker: Tomoyoshi Ibukiyama (The University of Osaka)

Abstract: Supersingular elliptic curves and supersingular Abelian varieties are important mathematical background of modern cryptography. 
I will give a mathematical survey on supersingular Abelian varieties mainly viewed from arithmetic of quaternion hermitian forms and related arithmetic invariant, such as class numbers and so on. 
I hope to focus on something which are seldom explained in usual survey books. Proofs would be mostly skipped. 

Profile: Tomoyoshi Ibukiyama received a PhD in Pure Mathematics from the University of Tokyo. 
He was a Professor at the University of Tokyo (1973-1980), Kyushu University (1981-1990),
Osaka University (1991-2013), and is Professor Emeritus of The University of Osaka since 2013. 
His main research area is Number Theory, in particular Siegel modular forms and supersingular Abelian varieties. 

Language: English

Target audience: Students and researchers in the field
(Those who want to know the general mathematical backgrounds on supersingular Abelian varieties)