Back to Algebraic Geometry Seminar: Fall 2019
Algebraic Geometry Seminar
Date: Tuesday, Aug 27, 2019
Time: 3:30PM - 4:30PM
Location: LCB 222
Leo Herr
University of Utah
Title |
Log Geometry and Gromov-Witten Theory |
Abstract |
Log structures endow schemes with tropical/toric data in a natural way. The corresponding notion of differentials with log poles'' makes many mildly singular spaces appear smooth, including simple normal crossings and toric varieties. Stranger still, blowups are not only 'etale’’ and proper, but ``monomorphisms’’ with a natural functor of points! We will work out the example of log smooth curves in detail before seeing a number of payoffs this added structure has to offer. Time permitting, we will discuss an ongoing research direction concerning intersection theory in this setting. |
Algebraic Geometry