Explicit Brauer-Manin obstructions on K3 surfaces

Series: 
Algebra Seminar
Monday, March 29, 2010 - 14:00
1 hour (actually 50 minutes)
Location: 
Skiles 171
,  
Emory University
Organizer: 
We will outline some open questions about rational points on varieties, and present the results of some computations on explicit genus-2 K3 surfaces. For example, we'll show that there are no rational numbers w,x,y,z (not all 0) satisfying the equation w^2 + 4x^6 = 2(y^6 + 343z^6).