Previous Conferences & Workshops

Oct
27
2016

Joint IAS/Princeton University Number Theory Seminar

The arithmetic of noncongruence subgroups of $\mathrm{SL}(2,\mathbb Z)$
William Chen
4:30pm|Fine 214, Princeton University

After beginning by giving a brief overview of how one can think of noncongruence modular curves as moduli spaces of elliptic curves with G-structures, we will discuss how these moduli interpretations fits into the greater body of knowledge...

Oct
26
2016

Mathematical Conversations

Phase transitions and symmetry breaking
6:00pm|Dilworth Room

In broad terms, a phase transition is a variation in the qualitative behavior of a system under changes of some parameter. For instance, as the temperature is changed, water goes through a gaseous, a liquid, and several solid phases, each of which...

Oct
26
2016

Homological Mirror Symmetry (Mini-Course)

Logarithmic Gromov-Witten invariants
10:45am|S-101

Logarithmic Gromov-Witten invariants generalize usual and relative Gromov-Witten invariants and were first suggested by Siebert and then recently introduced by Gross-Siebert and Abramovich-Chen. Applications include more general degeneration...

Oct
25
2016

Marston Morse Lectures

Dependent random choice
Jacob Fox
4:00pm|S-101

We describe a simple yet surprisingly powerful probabilistic technique that shows how to find, in a dense graph, a large subset of vertices in which all (or almost all) small subsets have many common neighbors. Recently, this technique has had...

Oct
25
2016

Marston Morse Lectures

Arithmetic regularity, removal, and progressions
Jacob Fox
4:00pm|S-101

A celebrated theorem of Roth from 1953 shows that every dense set of integers contains a three-term arithmetic progression. This has been the starting point for the development of an enormous amount of beautiful mathematics. In this talk, I will...