Ravi Ramakrishna from Cornell University

Galois Representations

Ravi Ramakrishna from Cornell University

In the last 30 years representations of (infinite) Galois groups have played an increasingly important role in number theory. Indeed, arithmetic objects such as the Diophantine equation y²=x³+x²+1 or xⁿ+yⁿ=zⁿoften have attached Galois representations that 'know' the solutions. This talk will survey of a small slice of this theory and will be accessible to mathematicians in all disciplines.