David Webb will continue to discuss results from Adam Day’s paper on amenability and symbolic dynamics.
Speaker: Christopher Marks (Cal. State Chico)
Title: Vector-valued modular forms and CM Jacobians
Abstract: In this talk, I will explain how vector-valued modular forms
may be used to compute explicitly periods of modular curves, and how the
application of this technique to noncongruence subgroups of the modular
group should soon yield new examples of Jacobians of modular curves with
complex multiplication (i.e., CM Jacobians).
This week in the Logic Seminar in Keller 314, David Ross will give an easy proof of a slight extension of a result of Lagarias on the Diophantine equation
$$ c(1/x_1+cdots+1/x_s)+b/(x_1 x_2cdots x_s)=a$$
The proof will be nonstandard, but really only require a sufficiently-saturated ordered field extension of $mathbb R$.
Mushfeq Khan will coninue to speak on amenability and symbolic dynamics. The focus will be the Ornstein-Weiss combinatorial
lemmas from Adam Day’s paper.