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Kieval Lecture: Elliptic Curves are not Ellipses (and that’s a good thing).

Elliptic curves have long occupied a central place of intrigue in mathematics, as a very special class of curves whose landscape touches aspects of number theory, group theory, algebraic geometry, complex analysis, cryptography, etc.  The fact that elliptic curves are not ellipses is what allows all of this to happen! In this talk, we will start from the beginning of the path of elliptic curves and demonstrate their fundamental arithmetic properties and geometric interpretations, and show where the name elliptic comes from. Then, we will discuss a very intriguing result on elliptic curves known as Manin’s Unity, which shows that certain areas of the elliptic curve landscape, which appear to be very distant from each other, are actually closely intertwined. This talk will be accessible to undergraduates.

 

Friday, May 26, 2023 at 3:30pm to 5:00pm

Science Building, SC 151
1250 Ashland St Ashland, OR 97520 United States

Event Type

Lectures & Presentations

Target Audience

Prospective Students, Faculty/Staff, Alumni, Students, Community

Website

https://inside.sou.edu/math/kievel/ki...

Cost

free and open to the public

Department
STEM Division
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