---
date: 2022-05-02 15:28
modification date: Monday 2nd May 2022 15:28:34
title: "Lawrence-Venkatesh"
aliases: [Lawrence-Venkatesh]
---

Last modified date: <%+ tp.file.last_modified_date() %>

---
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- Tags: 
	- #arithmetic-geometry 
- Refs:
	- Summary of paper: 
	  <http://www.math.columbia.edu/~calebji/Faltings_Lawrence_Venkatesh.pdf#page=36> #resources/summaries 
	- Seminar page:
	  <http://www.math.columbia.edu/~calebji/faltings.html>
	  #resources/websites
	- Overview of proofs: 
	  <https://www.mathi.uni-heidelberg.de/fg-sga/docs/oberSeminarSS20.pdf#page=2> #resources/summaries 
- Links:
	- #todo/create-links 

---

# Lawrence-Venkatesh

![](attachments/Pasted%20image%2020220514203822.png)
![](attachments/Pasted%20image%2020220514203829.png)

# Notes

Idea: [Shaferevich conjecture](Unsorted/Faltings%20theorem.md) types of theorems for classes of [varieties](varieties).
The [Ax-Schanuel](Ax-Schanuel) result established by Bakker and Tsimerman for [period maps](period%20maps) plays a key role in this paper.

![](attachments/Pasted%20image%2020220502152837.png)

![](attachments/Pasted%20image%2020220502152903.png)
![](attachments/Pasted%20image%2020220502152919.png)
![](attachments/Pasted%20image%2020220502153259.png)

![](attachments/Pasted%20image%2020220502155616.png)

# Outline

![](attachments/Pasted%20image%2020220502185752.png)