Archived Events

Using intensive computer calculations, the author empirically discovered
unusual methods for calculating high-precision approximations to the non-trivial zeroes
of Riemann's zeta function, its values and values of its derivative on the whole
complex plane. So far no theoretical explanation to these phenomena is known.

Veech groups of square-tiled surfaces are a natural source
of non-congruence subgroups of PSL(2,Z). Following work of G.Weitze-Schmitthüsen and C.Weiss we show that they are 'totally non-congruence'.
However, due to their geometric origin Veech groups come with a modular embedding and we discuss consequences for modular forms for these groups.

We will study a system of Galois representations associated to algebraic varieties,
with values in an algebraic group. In particular we will focus on questions of rationality
and l-independence.