Minerva mini-course

The Fernholz Foundation has endowed the mathematics department with funds to bring leading researchers to collaborate at Princeton. This mission is fulfilled with two robust and exciting programs: the Minerva Lecture Series and the Minerva Distinguished Visitor.

The Minerva Lecture Series began in 2012 and has been an outstanding success. Each series consists of three lectures over the course of a week and numerous occasions for the speaker to work with faculty and students.

In light of the great response the Minerva Speakers received in the department, the Minerva Distinguished Visitor program was inaugurated in 2014. The Distinguished Visitor is a semester-long appointment to the department allowing top mathematicians to pursue and share ongoing projects with colleagues at Princeton.

Oct 19

Melanie Wood, Minerva Distinguished Visitor

Distributions of unramified covers of curves over finite fields
Fine Hall 314 / -

We give theorems on the average number of unramified G extensions of curves over finite fields as the size of the finite field grows, i.e. we study the function field… See Full Abstract

Oct 26

Melanie Wood, Minerva Distinguished Visitor

Random finite abelian groups: the moment problem, universality, and applications
Fine Hall 314 / -

We define the moments of a random finite abelian group, and discuss the moment problem, i.e. when a random finite abelian group is determined by its moments. This will… See Full Abstract

Nov 09

Xinwen Zhu, Minerva Distinguished Visitor

Categorical traces in representation theory and algebraic geometry
Fine Hall 314 / -

Trace is a fundamental concept in representation theory. The importance of its categorical analogue is only realized in recent years. In this talk, I will introduce… See Full Abstract

Nov 16

Xinwen Zhu, Minerva Distinguished Visitor

Geometric Satake for p-adic groups and its categorical trace
Fine Hall 314 / -

I will discuss the (motivic version of) the geometric Satake for p-adic groups, leading to an algebro-geometric construction of the modified Langlands dual group (… See Full Abstract

Nov 30

Xinwen Zhu, Minerva Distinguished Visitor

Correspondences between mod p fiber of Shimura varieties
Fine Hall 314 / -

Abstract: Moduli of local Shtukas controls mod p geometry of Shimura varieties. I will discuss how categorical trace of geometric Satake allows one to construct Hecke-… See Full Abstract

Dec 07

Xinwen Zhu, Minerva Distinguished Visitor

Bloch-Kato conjecture for certain Rankin-Selberg motives
Fine Hall 314 / -

I will explain how the above mentioned Tate conjecture of mod p fibers of unitary Shimura varieties and some other important ingredients lead results on some cases of… See Full Abstract