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AWM Graduate Colloquium: A model theorist’s tale about the square-free integers

Event Type
Seminar/Symposium
Sponsor
n/a
Location
Zoom
Date
Feb 23, 2022   4:00 - 5:00 pm  
Speaker
Neer Bhardwaj
Contact
Nachiketa
E-Mail
na17@illinois.edu
Views
4

Abstract: I will speak about joint work with Chieu-Minh Tran, a former grad student at UIUC, where we explore the randomness of the square-free integers and evaluate whether four natural first-order structures are tame (read domesticable) or not. I will primarily focus on the very accessible number-theoretic phenomenon we established: the analogue of Dickson’s conjecture for the square-free integers, and finish by stating the model-theoretic consequences it entailed. The talk will be accessible to undergraduates, in particular, no prior knowledge of first-order logic will be assumed.

 

About Neer Bhardwaj: Final year PhD student at Math UIUC, working with the interactions of model theory with algebra and number theory.

 

Contact na17 AT illinois DOT edu for Zoom info

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