August 4 (Wednesday) 2021 16:00 - 18:00, via Zoom

▶Speaker : Jigu Kim(Ewha Womans University)
▶Title : Class number problem for real quadratic fields
▶Abstract : In 1976 D. Goldfeld used the theory of elliptic curves to give an effective resolution of quadratic class number problem, and 10 years later J. Oesterle gave an explicit result for imaginary quadratic fields. We extend the results to real quadratic fields and show an explicit lower bound on class numbers for
1) narrow Richaud-Degert type real quadratic fields under the BSD rank conjecture, and
2) a certain family of wide Richaud-Degert type real quadratic fields without the BSD rank conjecture.

This is a joint work with Dongho Byeon.


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