Previous Conferences & Workshops

May
07
2015

Joint IAS/Princeton University Number Theory Seminar

Reductions of Galois representations of small slopes
Eknath Ghate
4:30pm|S-101

We investigate the shape of the reduction of certain crystalline Galois representations of integral slope 1 and of fractional slopes in (1,2). The proof uses the compatibility between the p-adic and mod p Local Langlands Correspondences with respect...

May
01
2015

Mini-Symposium on Topology

Is the abstract mathematics of topology applicable to the real world?
Robert D. MacPherson; Randall D. Kamien; Raúl Rabadán
5:30pm|Wolfensohn Hall

Topology is the only major branch of modern mathematics that wasn't anticipated by the ancient mathematicians. Throughout most of its history, topology has been regarded as strictly abstract mathematics, without applications. However, illustrating...

May
01
2015

Joint IAS/Princeton University Symplectic Geometry Seminar

Periodic symplectic cohomologies
1:30pm|S-101

Periodic cyclic homology group associated to a mixed complex was introduced by Goodwillie. In this talk, I will explain how to apply this construction to the symplectic cochain complex of a Liouville domain and obtain two periodic symplectic...

Apr
30
2015

Joint IAS/Princeton University Number Theory Seminar

Uniform bounds for the number of rational points on curves of small Mordell-Weil rank
Michael Stoll
4:30pm|Fine 214, Princeton University

We show that there is a bound $N(d,g,r)$ for the number of $K$-rational points on hyperelliptic curves $C$ of genus $g$ when the degree of the number field $K$ is $d$ and the Mordell-Weil rank $r$ of the Jacobian of $C$ is at most $g - 3$. The proof...