Convex bodies in high dimensions and algebraic geometry

Series: 
High Dimensional Seminar
Monday, December 3, 2018 - 12:55pm
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
University of Maryland
,  
Organizer: 

Note the special time!

In joint work with J. Martinez-Garcia we study the classification problem of asymptotically log del Pezzo surfaces in algebraic geometry. This turns out to be equivalent to understanding when certain convex bodies in high-dimensions intersect the cube non-trivially. Beyond its intrinsic interest in algebraic geometry this classification is relevant to differential geometery and existence of new canonical metricsin dimension 4.