PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan, Mihran Papikian, Ae Ja Yee, Kirsten Eisentraeger.

Title:Rational curves on elliptic surfaces
Seminar:Algebra and Number Theory Seminar
Speaker:Douglas Ulmer, Georgia Institute of Technology
Abstract:
Given a non-isotrivial elliptic curve E over K=F_q(t), there is always a finite extension L of K which is itself a rational function field such that E(L) has large rank. The situation is completely different over complex function fields: For "most" E over K=C(t), the rank E(L) is zero for any rational function field L=C(u). The yoga that suggests this theorem leads to other remarkable statements about rational curves on surfaces generalizing a conjecture of Lang.

Room Reservation Information

Room Number:MB106
Date:01 / 21 / 2016
Time:11:15am - 12:05pm