Title of Seminar: Algebraic Geometry Preprint Seminar 2025
Title of Talk: Combinatorics of Hurwitz degenerations and tropical realizability
Speaker: Mohan Swaminathan
Date: September 9, 2025
Time: 16:00:00 Hours
Venue: AG-77
Abstract: A degenerating family of algebraic curves (equipped with a rational function) gives rise to a combinatorial object called a ``tropical curve" (equipped with a ``balanced function"). Following the work of Lam--Ng--Ranganathan (arXiv:2410.20831), we will discuss some results related to the inverse problem of realizing a given balanced function on a tropical curve by a degenerating family of rational functions on curves.
Title of Talk: Combinatorics of Hurwitz degenerations and tropical realizability
Speaker: Mohan Swaminathan
Date: September 9, 2025
Time: 16:00:00 Hours
Venue: AG-77
Abstract: A degenerating family of algebraic curves (equipped with a rational function) gives rise to a combinatorial object called a ``tropical curve" (equipped with a ``balanced function"). Following the work of Lam--Ng--Ranganathan (arXiv:2410.20831), we will discuss some results related to the inverse problem of realizing a given balanced function on a tropical curve by a degenerating family of rational functions on curves.