Newton polytopes of Laurent expression

主讲人 Speaker:潘杰(香港科技大学)
时间 Time:Mon., 9:30-10:30 am, Sept. 8, 2025
地点 Venue:双清综合楼A座 B627教室
课程日期:2025-09-08

Abstract:

Generalizing the construction of greedy basis introduced by Lee, Li Li and Zelevinsky, we associate a polytope function to each vector in $\Z^n$. It turns out that these polytope functions include Laurent expression of all cluster monomials and satisfy many good properties. In this talk, I would like to introduce their construction and mutation behavior via Newton polytopes. This is a joint work with Fang Li.