Events and Activities

Abstract: The Mobius function is one of the most important arithmetic functions. There is a vague yet well known principle regarding its randomness properties called the “Mobius randomness law". It basically states that the Mobius function should be...

Abstract: The Higher order Fourier uniformity conjecture asserts that on most short intervals, the Mobius function is asymptotically uniform in the sense of Gowers; in particular, its normalized Fourier coefficients decay to zero.  This conjecture...

Abstract: Cohen, Lenstra, and Martinet have given highly influential conjectures on the distribution of class groups of number fields, the finite abelian groups that control the factorization in number fields. Malle, using tabulation of class groups...

Abstract: Starting with the "Leibniz" formula for $\pi$

$ \pi/4 = 1 - 1/3 + 1/5 - 1/7 + \ldots$

the special values of Dirichlet L-functions have long been a source of fascination and frustration. From Euler's solution in 1734 of the Basel problem to...

Abstract: What are the slopes of periodic billiard paths in a regular polygon?

We will connect this question and others to:

        - cusps of thin groups,

        - curves on Hilbert modular varieties,

        - heights from Jacobians with real...

Abstract: To study the asymptotic behavior of orbits of a dynamical system, one can look at orbit closures or invariant measures. When the underlying system has a homogeneous structure, usually coming from a Lie group, with appropriate assumptions a...

Khusro's Qawwali 
Thursday, June 6, 2024
5:30 p.m. | Wolfensohn Hall

Ustaad Naseeruddin Saami and Saami Brothers present an evening of...