Previous Conferences & Workshops

The Goncharov reading group is an informal seminar which will read the paper "Volumes of hyperbolic manifolds and mixed Tate motives" and related materials. We will meet on Wednesdays at 10 am in Simonyi 114.

https://www.ias.edu/math/wam/2014/schedule

In this talk, we will continue, the proof of the Central Limit theorem from my last talk. We will show that that the law of "eigenregular" Gaussian polynomials is close to a Gaussian. The proof will be based on Stein's method and will be dependent...

https://www.ias.edu/math/wam/2014/schedule

https://www.ias.edu/math/wam/2014/schedule

I will discuss conjectures, theorems, and experiments concerning the moments, at the central point, of zeta functions associated to hyperelliptic curves over finite fields of odd characteristic. Let \(q\) be an odd prime power, and \(H_{d,q}\)...

The Goncharov reading group is an informal seminar which will read the paper "Volumes of hyperbolic manifolds and mixed Tate motives" and related materials. We will meet on Wednesdays at 10 am in Simonyi 114.

Given an elliptic curve \(E\) over a field \(k\), its \(p\)-torsion \(E[p]\) gives a 2-dimensional representation of the Galois group \(G_k\) over \(\mathbb F_p\). The Frey-Mazur conjecture asserts that for \(k= \mathbb Q\) and \(p > 13\), \(E\) is...

Let \(G\) be a connected split reductive \(p\)-adic group. Examples are \(\mathrm{GL}(n,F)\), \(\mathrm{SL}(n, F )\), \(\mathrm{SO}(n, F)\), \(\mathrm{Sp}(2n, F )\), \(\mathrm{PGL}(n, F )\) where \(n\) can be any positive integer and \(F\) can be...

Many of the major results of modern ergodic theory can be understood in terms of a sequence of finite metric measure spaces constructed from the marginal distributions of a shift-invariant process. Most simply, the growth rate of their covering...