# Intersection number formula on Lubin-Tate spaces

### Intersection number formula on Lubin-Tate spaces

Series: Algebra and Number Theory Seminar
Location: ENR2 S395
Presenter: Qirui Li, Columbia

We consider a moduli space classifying deformations of a formal module over \bar F_q. Those spaces are called Lubin Tate deformation spaces. We will construct some CM cycles on this space. By adding Drinfeld level structures, we proved a formula for the intersection number between these CM cycles. If we have time, we will talk about an application, that this formula gives a new proof of Keating’s results on endomorphism lifting problems for formal modules over \bar F_q.