We will discuss the tropical semifield i.e. R with operations of min and +. We will define the tropical hypersurface of a tropical polynomial.
Abstract: We will discuss some recent techniques that have been successful in counting a variety of objects in number theory. Our main focus will be on counting low degree number fields, following the inspirational work of Bhargava. We will see many areas of mathematics come together in this story.
Feng Fu is currently an associate professor of applied mathematics in the Department of Mathematics and holds an adjunct appointment in the Department of Biomedical Data Science at the Geisel School of Medicine, Dartmouth. Before joining Dartmouth in September 2015, he was a senior postdoc in theoretical biology under Sebastian Bonhoeffer at ETH Zurich starting in September 2012. Prior to that, he did his dissertation research and a subsequent postdoc training at Harvard University from 2007 to 2012.