Previous Conferences & Workshops

It was conjectured by Alon in the 1980s that random d-regular graphs have the largest possible spectral gap (up to negligible error) among all d-regular graphs. This conjecture was proved by Friedman in 2004 in major tour de force. In recent years...

Sen's theorem on the ramification of a p-adic analytic Galois extension of p-adic local fields shows that its perfectoidness is equivalent to the non-vanishing of its arithmetic Sen operator. By developing p-adic Hodge theory for general valuation...