Our next speaker is Soumyarup Banerjee of IIT, Gandhinagar. The talk announcement is below.
Talk Announcement:
Title: Finiteness theorems with almost prime inputs
Speaker: Soumyarup Banerjee (IIT, Gandhinagar)
When: Thursday, Mar 24, 2022 - 4:00 PM - 5:00 PM (IST)
Where: Zoom. Please write to the organizers for the link.
Live Link: https://youtu.be/Fd2gNRyK04I
Tea or Coffee: Please bring your own.
Abstract:
The Conway–Schneeberger Fifteen theorem states that a given positive definite integral quadratic form is universal (i.e., represents every positive integer with integer inputs) if and only if it represents the integers up to 15. This theorem is sometimes known as “Finiteness theorem" as it reduces an infinite check to a finite one. In this talk, I would like to present my recent work along with Ben Kane where I have investigated quadratic forms which are universal when restricted to almost prime inputs and have established finiteness theorems akin to the Conway–Schneeberger Fifteen theorem.
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