##### Department of Mathematics,

University of California San Diego

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### Math 209 - Number Theory

## Hadi Hedayatzadeh

#### Caltech

## Drinfeld displays and tensor constructions of $\pi$-divisible modules in equal characteristic

##### Abstract:

Using results of Drinfeld and Taguchi, we establish an equivalence of categories between the category of ``Drinfeld displays'' (objects to be introduced) and the category of $\pi$-divisible modules. We define tensor products of $\pi$-divisible modules and using the above equivalence, we prove that the tensor products of $\pi$-divisible modules over locally Noetherian base schemes exist and commute with base change. If time permits, we will show how this will provide tensor products of Lubin-Tate groups and formal Drinfeld modules.

Host: Kiran Kedlaya

### April 18, 2013

### 2:00 PM

### AP&M 7321

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