#  Seminar: Melanie Wood (Harvard University): "Determining distributions of groups from their moments" 

 



####  calendar\_today Date and Time 

 **September 20, 2022** 

 09:30AM - 09:30AM EDT 

####  pin\_drop Location 

 **https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09**  



 

 



 

 **![Melanie Wood](/sites/g/files/omnuum6611/files/styles/hwp_1_1__360x360_scale/public/mathpicture/files/melanie_wood.jpeg?itok=mXuZoC8r) 

 

  
Title:** Determining distributions of groups from their moments  
**Speaker:** Melanie Wood (Harvard University)  
**Abstract:** Just as moments of a distribution of real numbers are a powerful tool that (if they are not too large) determine the distribution uniquely, we can consider certain averages as moments of a distribution of groups (or more general algebraic structures). We discuss how these moments determine a distribution of groups uniquely, and how that can be applied to find distributions of fundamental groups of random 3-manifolds, fundamental groups of curves over finite fields, and to give conjectures for distributions of important groups arising in number theory such as class groups.

 

 

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 Attachments- [  picture\_as\_pdf  2022-9-20\_melanie\_wood\_seminar.pdf ](/sites/g/files/omnuum6611/files/mathpicture/files/2022-9-20_melanie_wood_seminar.pdf)
 
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