Arithmetic Geometry and Number Theory RTG Seminar: On certain special values of L-functions associated to elliptic curves and real quadratic fields
Seminar | November 27 | 3:10-5 p.m. | 891 Evans Hall
Chung Pang Mok, Purdue University
We study certain normalized special values of L-functions associated to elliptic curves and real quadratic fields. Under certain hypothesis, we are able to show that these are squares of rational numbers. This result is used to improve on a theorem of Bertolini-Darmon on rationality of Stark-Heegner points over genus fields of real quadratic fields.
Seminar Format: The seminar consists of two 50-minute talks, a pre-talk (3:10-4:00) and an advanced talk (4:10-5:00), with a 10-minute break (4:00-4:10) between them. The advanced talk is a regular formal presentation about recent research results to general audiences in arithmetic geometry and number theory; the pre-talk (3:10-4:00) is to introduce some prerequisites or background for the advanced talk to audiences consisting of graduate students.